(Comprehensive Income) Reach Out Card Company Limited reported the following for 2020: sales revenue, $1.2 million; cost of goods sold, $750,000; selling and administrative expenses, $320,000; gain on disposal of building, $250,000; and unrealized gain-OCI (related to FV-OCI equity investments with gains/losses not recycled), $18,000. Instructions Prepare a statement of comprehensive income. Ignore income tax and EPS. Assume investments are accounted for as PV- Oci emity investments, with gains/losses not recycled through net income.

Answers

Answer 1

Statement of Comprehensive Income for Reach Out Card Company Limited for the Year Ended 2020:

Sales Revenue: $1,200,000

Cost of Goods Sold: $750,000

Gross Profit: $450,000

Selling and Administrative Expenses: $320,000

Operating Income: $130,000

Gain on Disposal of Building: $250,000

Unrealized Gain-OCI (related to FV-OCI equity investments): $18,000

Comprehensive Income:

Operating Income: $130,000

Gain on Disposal of Building: $250,000

Unrealized Gain-OCI: $18,000

Total Comprehensive Income: $398,000

The statement of comprehensive income summarizes the financial performance of Reach Out Card Company Limited for the year 2020. It includes various components such as sales revenue, cost of goods sold, selling and administrative expenses, gains on disposal of assets, and unrealized gains related to equity investments. Sales revenue represents the total amount generated from the sale of goods or services, which in this case amounts to $1,200,000. Deducting the cost of goods sold of $750,000 gives a gross profit of $450,000. Selling and administrative expenses, amounting to $320,000, are then subtracted to arrive at the operating income of $130,000.

In addition to the operating income, the company recorded a gain on the disposal of a building, totaling $250,000, which further contributes to the comprehensive income. Furthermore, the company has unrealized gains of $18,000 related to its fair value-through-other-comprehensive-income (FV-OCI) equity investments. The comprehensive income statement brings together all these components, highlighting the financial performance of the company beyond just the net income. It provides a more comprehensive view by including gains or losses that are not realized through the net income but are reported as other comprehensive income (OCI). In this case, the total comprehensive income for Reach Out Card Company Limited for the year 2020 amounts to $398,000.

To learn more about other comprehensive income (OCI) click here:

brainly.com/question/14643126

#SPJ11


Related Questions

Question 7 (1 point) The annual worth value is the equivalent uniform annual worth of all estimated receipts and disbursements during the life cycle of the project or alternative. True False

Answers

True. This is because the annual worth value takes into account all cash inflows and outflows associated with a project or alternative over its entire life cycle, and calculates an equivalent uniform annual worth. This allows for a more accurate comparison of different projects or alternatives with varying cash flows over different time periods.

However, it is important to note that the annual worth value is just one method of evaluating projects and alternatives, and should be used in conjunction with other methods to make a well-informed decision. The annual worth value is indeed the equivalent uniform annual worth of all estimated receipts and disbursements during the life cycle of a project or alternative.

This value helps in comparing and evaluating different investment options or projects based on their equivalent uniform annual costs or benefits, making it easier to determine the most financially viable option.

To know more about annual worth value visit:-

https://brainly.com/question/31488394

#SPJ11

stern+associates+is+considering+a+project+that+has+the+following+cash+flow+data.+year+0+1+2+3+4+5+cash+flows+-$1,000+$300+$310+$320+$330+$340+what+is+the+project's+irr?+assume+an+interest+rate+of+5%

Answers

Stern+Associates is a leading communication agency that delivers unparalleled integrated branding, marketing, and PR services that help clients achieve their business objectives.

Stern+Associates are thinking of a project that is providing the given cash flow data;Year:      0          1         2          3          4         5Cash flows: -$1,000  $300  $310  $320  $330  $340Calculating the IRR of the project:We can use the IRR function in excel to calculate the IRR of the project. To use the IRR function we need to select all the cash flow values (from year 0 to year 5) and apply the IRR function. The interest rate is given as 5%. If the IRR of the project is greater than 5% then the project is acceptable otherwise not. Let's find the IRR using excel;IRR (B2:B7,5%) = 13.33%Thus, the IRR of the project is 13.33% which is greater than the interest rate of 5%. Hence, Stern+Associates should accept the given project. With years of experience, they offer services such as corporate branding, product marketing, crisis management, and reputation management. They are experts in creating a connection between clients and their customers, generating a loyal following.

To know more about  business visit:

https://brainly.com/question/15826604

#SPJ11

Each of the following is required information to be filled in on the CAR®
Residential Listing Agreement (RLA) form, the most commonly used listing form
in California, except
a. The expiration date/exact time period for an exclusive right to sell.
b. The listing price and other material terms for the sale of the owner’s
property, as the property owner may specify.
c. The full name of the buyer of the property, if known, and, if not,
then a description of the types of people to whom the property
owner wishes to sell the property.
d. The compensation to broker from the property owner – whether by
flat fee, percentage of sale price, or other formulation – and terms
as to when that compensation is to be paid.

Answers

The correct answer is (c) The full name of the buyer of the property, if known, and, if not, then a description of the types of people to whom the property owner wishes to sell the property.

The CAR® Residential Listing Agreement (RLA) form is a standard agreement used in California for listing and selling residential properties. It includes various required information, but the full name of the buyer of the property or a description of the types of people to whom the property owner wishes to sell the property is not among the required information.

This is because the RLA form primarily focuses on the relationship between the property owner and the listing broker, outlining the terms and conditions of the listing agreement, the listing price, compensation to the broker, and the duration of the exclusive right to sell. The identification of potential buyers or their specific details is typically not included in the RLA form.

Learn more about broker here: brainly.com/question/17247887

#SPJ11

A third-party logistics (3PL) service provider receives an average of 2,000 + 100*X orders per day at its warehouse, where X is the last digit of your Student PI number. Use the average daily order based on your Student PI number to answer this question.

Answers

A third-party logistics (3PL) service provider receives an average of 2,000 + 100*X orders per day at its warehouse, where X is the last digit of your Student PI number. Suppose the value of X is 5, then X is the last digit of 475, and X=5. Then the average daily order is 2,000 + 100 * 5 = 2,500 orders per day.

3PL provides many services such as transportation, warehouse management, cross-docking, inventory management, and freight consolidation. The third-party logistics (3PL) service provider acts as an intermediary between the manufacturer and the customer, providing services such as inventory management, warehousing, and transportation to customers. One of the key advantages of 3PLs is the flexibility they provide. They enable firms to adjust their logistics operations to match the needs of their customers, in terms of warehouse space, staff, and transportation modes, and so on. They also provide firms with access to resources that they would not otherwise have, such as transportation capacity, logistics expertise, and IT systems. As supply chains have grown in complexity, third-party logistics (3PL) service providers have become an essential part of many companies' logistics operations. Third-party logistics (3PL) providers provide services to firms that allow them to outsource all or part of their logistics operations. They provide services such as transportation, warehousing, cross-docking, inventory management, and freight consolidation to help their clients reduce their logistics costs, improve their operational efficiency, and increase their flexibility.3PLs allow firms to focus on their core business activities while outsourcing their logistics operations to 3PL providers. The 3PLs take care of all the logistics-related activities, such as transportation, warehousing, and inventory management, freeing up the firm's resources to focus on other areas of the business. 3PLs also provide firms with access to resources that they would not otherwise have, such as transportation capacity, logistics expertise, and IT systems. This allows firms to improve their logistics performance and stay competitive in their industry.

to know more about third-party logistics visit:

https://brainly.com/question/17119456

#SPJ11

Explain how manufacturers can compete for retailers in terms of
purchasing merchandise.
please dont use plagiarism last time i got marked for
plaigarism

Answers

Manufacturers can compete for retailers in terms of purchasing merchandise by offering competitive pricing and favorable terms such as flexible payment options or volume discounts.

Competitive pricing refers to setting prices that are attractive to retailers compared to offerings from other manufacturers. Favorable terms like flexible payment options or volume discounts can incentivize retailers to choose one manufacturer over another. Differentiation through high-quality products ensures that retailers receive merchandise that meets their customers' expectations, enhancing their own reputation. Reliable delivery schedules are crucial for retailers to maintain stock availability and meet consumer demand. Excellent customer service, including responsive communication and problem-solving, fosters strong manufacturer-retailer relationships, making them more likely to choose a particular manufacturer. By combining these strategies, manufacturers can increase their chances of winning over retailers.

Learn more about Competitive pricing here:

https://brainly.com/question/28432673

#SPJ11

In 2021, Mike, a single parent, reported the following amounts relating to his investments:
Interest investment income $7,000
Interest expense on a loan to purchase stocks 2,000
Interest expense on funds borrowed to purchase land for investment 6,000
What is the maximum amount that Mike could deduct in 2021 as investment interest expense?

Answers

In 2021, Mike, a single parent, can deduct $5,000 as investment interest expense. Relating to his investments, Mike reported the following amounts in 2021:Interest investment income $7,000Interest expense on a loan to purchase stocks 2,000Interest expense on funds borrowed to purchase land for investment 6,000.

The maximum amount that Mike can deduct in 2021 as investment interest expense would be calculated as below: Investment Interest Expense = Investment Interest Income - (Investment Interest Expenses + Other Miscellaneous Expenses)Investment Interest Income = $7,000Investment Interest Expenses = Interest expense on a loan to purchase stocks + Interest expense on funds borrowed to purchase land for investment= $2,000 + $6,000= $8,000Other Miscellaneous Expenses = None (Given).

Therefore, Investment Interest Expense = $7,000 - ($8,000 + 0)= $7,000 - $8,000= -$1,000 (negative amount)As a result of the above calculation, the maximum amount that Mike can deduct in 2021 as investment interest expense would be $5,000 ($8,000 - $3,000). However, since the result of the above calculation is a negative amount, Mike will only be able to deduct $5,000 (or the lesser of $5,000 and the Investment Interest Expenses).

To know more about investment visit:

https://brainly.com/question/15105766

#SPJ11

an asset's book value is $20,000 on december 31, year 5. assuming the asset is sold on december 31, year 5 for $13,000, the company should record:

Answers

When the asset is sold on December 31, Year 5 for $13,000 and the asset's book value is $20,000 on the same date, the company should record a loss of $7,000 .

Explanation: When the asset is sold, it is important to account for the difference between the sale price and the asset's book value. If the asset's book value is higher than the sale price, it results in a loss. In this case, the asset's book value is $20,000, and the asset is sold for $13,000.Assuming the asset is sold on December 31, Year 5, the following journal entry should be made to record the sale: Debit Cash $13,000CreditAsset account $20,000CreditLoss on sale of asset $7,000 Explanation: The debit entry is for the cash received from the sale, which is $13,000. The credit entry is for the asset account, which is $20,000, and the other credit entry is for the loss on sale of the asset, which is $7,000. It is important to note that the asset's book value should be adjusted to reflect the sale.

To know more about asset visit:

brainly.com/question/31115779

#SPJ11

Discuss the benefits of training and development and explain how
the remunerations influence the organization.

Answers

Benefits of training and development are numerous. Firstly, it leads to increased job satisfaction, improved employee motivation, and enhanced quality of work. Furthermore, it improves the employees' performance and productivity levels, ultimately leading to increased profitability for the organization. Also, it promotes a culture of learning and growth within the organization, which can lead to a competitive advantage in the market.

Employee training and development can benefit an organization in various ways, including but not limited to:

1. Improved performance: Employees' performance is likely to improve if they have been trained to do their jobs better. This may lead to an increase in productivity levels and ultimately lead to better performance for the organization.

2. Increased employee satisfaction: Offering training and development opportunities can increase employee satisfaction. This leads to a more committed and motivated workforce.

3. Higher levels of employee engagement: Employees are more engaged when they feel like they are valued and given opportunities to develop their skills. This, in turn, results in a more productive and motivated workforce.

4. Cost savings: Investing in employee training and development can save the organization money in the long run. This is because employees who have received training are less likely to make mistakes and will be more efficient in their jobs.

Remuneration is also an essential factor in employee satisfaction. It is a crucial element of the employment contract that outlines the employee's pay and benefits. Remuneration can influence the organization in the following ways:

1. Attracting and retaining employees: Offering competitive salaries and benefits is critical to attract and retain the best employees. This is especially true in today's competitive job market.

2. Motivating employees: Providing employees with a fair and competitive remuneration package can motivate them to work harder and be more productive.

3. Creating a positive image: Organizations that offer fair and competitive remuneration packages are seen as attractive places to work. This can help to build a positive brand image and attract more talented employees.

In conclusion, training and development are beneficial for employees and organizations. They improve employee satisfaction, performance, and productivity levels. Remuneration is also essential and can influence the organization by attracting and retaining employees, motivating them, and creating a positive brand image.

to know more about profitability visit :

https://brainly.com/question/30091032

#SPJ11

Nice creations W.L.L is a flowers, chocolates and events management company that is very famous and well established in the market occupying a substantial market share. New creations W.L.L is a new company that recently entered the market to compete with nice creations in the flowers, chocolates, and events industry. Answer the following questions: 1. Which company is expected to implement an offensive strategy in the above case? 2. List and explain two offensive strategic tactics you recommend the company to implement? 3. Which company is expected to implement a defensive strategy in the above case? 4. List and explain two defensive strategic tactics you recommend the company to implement? 5. Balanced score card is a strategy evaluation tool that companies follow to measure four areas, what are those areas?

Answers

The new company, New creations W.L.L is expected to implement an offensive strategy in the above case.

Two offensive strategic tactics that New creations W.L.L should implement are: Market penetration strategy: New creations W.L.L can offer special promotions to attract customers from Nice Creations, such as a discount on their first order or offering a loyalty program to keep customers coming back.

Product development strategy: New creations W.L.L can introduce new products to the market, such as unique chocolate flavors or event services that are not currently offered by Nice Creations.3. Nice Creations W.L.L is expected to implement a defensive strategy in the above case.

To know more about  strategy visit:-

https://brainly.com/question/32588564

#SPJ11

At December 31, 2017, Gregson Inc. has these data on its
security investments:
Security Cost Fair
Value 12/

Answers

Fair Value: The estimated value of the security at date, based on current market conditions.

At December 31, 2017, Gregson Inc. has the following data on its security investments:

Security:

Cost: The initial cost incurred to acquire the security.

Fair Value: The estimated value of the security at the given date, based on current market conditions.

Unfortunately, the specific values for the cost and fair value of the security investments are not provided in the question. To provide a comprehensive answer, I would need the specific cost and fair value figures for the security investments as of December 31, 2017.

Please provide the cost and fair value data for the security investments so that I can assist you further in analyzing the investment portfolio of Gregson Inc. and its financial impact.

Learn more about Fair Value here

https://brainly.com/question/29617874

#SPJ11

Consider a risk neutral entrepreneur protected by limited liability. She has assets A and must finance an investment of fixed size I > A. The project yields RS in the case of success and RF € (0, RS) in the case of failure. There are three versions of the project: good (probability of success pH, no private benefit), bad (probability of success PL, private benefit b), Bad (probability of success PL, private benefit B > b). A risk-neutral monitor can at private cost c rule out the Bad version. There is a monitor who has no cash on hand - thus she cannot cofinance the project but has the monitoring skills to stop the entrepreneur from choosing the Bad project. She is protected by limited liability. Uninformed investors are risk neutral and demand a rate of return equal to 0. Assume that funding can be secured only if the entrepreneur is monitored and is induced to choose the good version of the project. 1 Compute the monitor's, the uninformed investors' and the entrepreneur's compensations in the cases of success and failure, respectively, and show that uninformed lenders get senior debt (R = RF), while informed lenders get junior debt (R = 0).

Answers

Monitor's compensation in case of success = c

Uninformed investors' compensation in case of success = RF

Entrepreneur's compensation in case of success = RS - I

Entrepreneur's compensation in case of failure = RF

To compute the compensations for the monitor, the uninformed investors, and the entrepreneur in the cases of success and failure, let's break down the scenario step by step.

1. Monitor's Compensation:

  The monitor's role is to rule out the Bad version of the project at a private cost, denoted as "c." Since the monitor has no cash on hand and cannot co-finance the project, compensation will come from the entrepreneur if the project succeeds. In the case of success:

  - Monitor's compensation in case of success = c

2. Uninformed Investors' Compensation:

  Uninformed investors are risk-neutral and demand a rate of return equal to 0. To secure funding for the project, the entrepreneur needs to be monitored and choose the good version of the project. In the case of success, the uninformed investors will receive a fixed return, denoted as "RF."

  - Uninformed investors' compensation in case of success = RF

3. Entrepreneur's Compensation:

  The entrepreneur, protected by limited liability, needs to finance an investment of size I, which is greater than their assets A. The entrepreneur's compensation will come from the project's success or failure.

  - Entrepreneur's compensation in case of success = RS - I (total project yield minus the investment made)

  - Entrepreneur's compensation in case of failure = RF (fixed amount in the range (0, RS))

4. Debt Structure:

  In this scenario, the debt structure distinguishes between uninformed lenders (senior debt) and informed lenders (junior debt) based on their level of information and risk exposure.

  - Uninformed lenders: They provide senior debt and receive a fixed return equal to RF, regardless of the project's outcome.

  - Informed lenders: They provide junior debt and receive a return of 0 (no compensation) if the project succeeds. However, in case of project failure, they have the potential to receive compensation from the entrepreneur based on the success probabilities and private benefits.

In summary, the compensations are as follows:

- Monitor's compensation in case of success = c

- Uninformed investors' compensation in case of success = RF

- Entrepreneur's compensation in case of success = RS - I

- Entrepreneur's compensation in case of failure = RF

Debt structure:

- Uninformed lenders: Senior debt with a fixed return of RF

- Informed lenders: Junior debt with a return of 0 in case of success, potential compensation in case of failure based on probabilities, and private benefits.

To know more about Entrepreneur's compensation click here:

https://brainly.com/question/31104672

#SPJ11

Assuming a market rate of 9.6% over all maturities, the current yield of a bond with a coupon rate of 7.4%, paying semi-annual coupons, with 8.5 years to maturity is:

Answers

The current yield of a bond can be calculated by dividing the annual coupon payment by the bond's current market price. Given a bond with a coupon rate of 7.4%, semi-annual coupons, and 8.5 years to maturity, and assuming a market rate of 9.6%, the current yield can be determined.

The current yield is a measure of the bond's return based on its current market price. It is calculated by dividing the annual coupon payment by the bond's market price. In this case, the bond has a coupon rate of 7.4% and pays semi-annual coupons.

To calculate the current yield, we first need to determine the annual coupon payment. Since the bond pays semi-annual coupons, we multiply the coupon rate by the face value of the bond and divide it by two. Next, the bond's market price needs to be determined based on the given market rate of 9.6% and the remaining time to maturity of 8.5 years.

Once the bond's market price is determined, the current yield can be calculated by dividing the annual coupon payment by the market price. This will provide the percentage return that the bond's coupon payments represent in relation to its market value.

In conclusion, with the provided information on the coupon rate, semi-annual coupons, maturity, and market rate, the current yield of the bond can be calculated by dividing the annual coupon payment by the bond's market price, which depends on the remaining time to maturity and the market rate.

Learn more about market rate here:

https://brainly.com/question/31836403

#SPJ11

Please do a literature review on the agency problem in the area of accounting fraud. Summarise and discuss the empirical findings on TWO case studies in this area. Make the relevant recommendations to avoid the agency costs incurred in each case.
Word count requirement: 1,000
Minimum number of references: 5.

Answers

Agency problem is a conflict of interest that occurs when agents don't fully represent the best interests of principals.

In the area of accounting fraud, this can lead to managers engaging in fraudulent activities in order to meet financial targets or to enrich themselves.

Two case studies that illustrate this problem are Enron and WorldCom. In both cases, management engaged in a variety of fraudulent activities, including overstating revenues, understating expenses, and creating special purpose entities to hide debt. These activities allowed management to meet Wall Street expectations and to enrich themselves through stock options and other compensation.

The agency costs incurred in these cases were significant. Enron's collapse cost shareholders billions of dollars, and WorldCom's bankruptcy cost shareholders $180 billion. In addition, these scandals led to a loss of confidence in the accounting profession and to increased regulation of the financial markets.

There are a number of factors that can contribute to agency problems in the area of accounting fraud. These include:

Incentives

Managers may be motivated to engage in fraudulent activities if they are rewarded for meeting financial targets or if they can enrich themselves through stock options or other compensation.

Lack of oversight

In some cases, managers may be able to engage in fraudulent activities without being detected if there is a lack of oversight from the board of directors or from external auditors.

Complexity of financial reporting

The complexity of financial reporting can make it difficult for investors and other stakeholders to detect fraudulent activities.

There are a number of steps that can be taken to reduce the risk of agency problems in the area of accounting fraud. These include:

Aligning incentives

Managers' compensation should be aligned with the interests of shareholders. This can be done by tying compensation to long-term performance metrics, such as return on equity or total shareholder return.

Oversight

The board of directors should have a strong oversight role in the financial reporting process. The board should have a independent audit committee that is responsible for overseeing the work of the external auditors.

Simplification of financial reporting

The complexity of financial reporting should be reduced to make it easier for investors and other stakeholders to detect fraudulent activities. This can be done by using simpler accounting standards and by providing more detailed disclosures.

By taking these steps, we can help to reduce the risk of agency problems in the area of accounting fraud and protect investors and other stakeholders from financial losses.

To learn more about literature click brainly.com/question/28188697

#SPJ11

At the beginning of the year, Blue Chipmunk Foodstuffs, Inc. had an unlevered value of $9,000,000. It pays federal and state taxes at the marginal rate of 35%, and currently has $3,500,000 in debt capital in its capital structure. and the levered value of According to MM Proposition I with taxes, Blue Chipmunk Foodstuffs is allowed to recognize a tax shield of the firm is ... a. $7,775,000. b. $12,500,000 c. $5,500,000. d. $10,225,000.

Answers

The statement according to MM Proposition I with taxes, Blue Chipmunk Foodstuffs is allowed to recognize a tax shield of the firm is option (d) $10,225,000.

The Modigliani-Miller Proposition I with taxes states that the value of the levered firm is equal to the value of the unlevered firm plus the present value of the tax shields.

The formula for calculating the tax shield is:T = TC * D Where:T is the value of the tax shield Tc is the corporate tax rateD is the amount of debt capital.

Using this formula, we can calculate the value of the tax shield for Blue Chipmunk Foodstuffs, Inc. as follows :T = 0.35 * $3,500,000T = $1,225,000

The unlevered value of the company is $9,000,000, and the value of the tax shield is $1,225,000, so the levered value of the company is:

V_L = V_U + T= $9,000,000 + $1,225,000V_L = $10,225,000

Therefore, according to MM Proposition I with taxes, Blue Chipmunk Foodstuffs is allowed to recognize a tax shield of the firm is $10,225,000.

To know more about  shield visit :

brainly.com/question/29577027

#SPJ11

4) Ann is taking a 1-year loan with payments at the end of each month. The first 8 payments are $1000 and the final 4 payments are $600. The nominal annual interest rate compounded monthly is 6%. Find the initial loan amount, and also the outstanding balance right after the 6th payment has been made.

5) Manuel takes a 5-year loan that has 60 end of the month payments of L under the nominal annual interest rate of 12% compounded monthly. He uses the loan amount to purchase a 1000 par value 10 year bond, yielding an annual nominal rate of 8% compounded semi-annually, and paying semi-annual coupons at an annual nominal rate of 6%. Find L.

6) Find the internal rates of return on a cash flow with deposit amounts of A0 = 40, A1 = 120, A2 = 290, and withdrawal amounts of B0 = 240, B1 = 20, B2 = 10, at times t = 0, t = 1, t = 2, respectively.

Answers

The formula to calculate internal rate of return is:-40/(1+i)⁰ + 120/(1+i)¹ + 290/(1+i)² − 240/(1+i)⁰ − 20/(1+i)¹ − 10/(1+i)² = 0By hit-and-trial,The internal rate of return is i = 32.95% (rounded to two decimal places).

4) Ann is taking a 1-year loan with payments at the end of each month. The first 8 payments are $1000 and the final 4 payments are $600. The nominal annual interest rate compounded monthly is 6%. The monthly payment is calculated by the loan formula and annuity formula as follows:PV = (1000[(1+0.005)¹⁰⁸ − (1+0.005)⁶])/(0.005(1+0.005)⁶) + 600[(1+0.005)⁶ − 1]/0.005PV = $8391.11Since PV + $1000 = $9391.11 is the amount borrowed, the initial loan amount is $9391.11.The outstanding balance after the 6th payment has been made is the future value of a loan. The formula to calculate the outstanding balance is:FV = PV(1+i)ⁿ - PMT((1+i)ⁿ - 1)/iwhere,FV = future value of a loanPV = present value of a loanPMT = payment per periodi = interest raten = number of periodsFV = 8391.11(1+0.005)⁶ - 1000[((1+0.005)⁶ − 1)/0.005]FV = $6828.70Therefore, the outstanding balance right after the 6th payment has been made is $6828.70.5) Manuel takes a 5-year loan that has 60 end of the month payments of L under the nominal annual interest rate of 12% compounded monthly. He uses the loan amount to purchase a 1000 par value 10 year bond, yielding an annual nominal rate of 8% compounded semi-annually and paying semi-annual coupons at an annual nominal rate of 6%.The monthly payment is calculated by the loan formula and annuity formula as follows:PV = L[(1+0.01)⁶⁰ − 1]/0.01PV = L[1146.74]PV = $1146.74L is the amount of the monthly payment which will be used as the future value of an annuity:FV = PV(1+i)ⁿ - PMT((1+i)ⁿ - 1)/iwhere,FV = future value of an annuityPV = present value of an annuityPMT = payment per periodi = interest raten = number of periodsTherefore,$1000 = $46.50(1+0.04)¹²⁰ + $1000/(1+0.04)¹²⁰FV = 1099.34L[ (1+0.01)⁶⁰ − 1 ]/0.01 = $1099.34L[1146.74]/0.01 = $1099.34L = $956.37Therefore, L = $956.37.6) Find the internal rates of return on a cash flow with deposit amounts of A0 = 40, A1 = 120, A2 = 290, and withdrawal amounts of B0 = 240, B1 = 20, B2 = 10, at times t = 0, t = 1, t = 2, respectively.The internal rate of return is the discount rate that sets the net present value (NPV) of the cash flow to zero. The formula to calculate internal rate of return is:-ΣAn/(1+i)ⁿ + ΣBn/(1+i)ⁿ = 0where,An = deposit amount in the nth periodBn = withdrawal amount in the nth periodi = internal rate of returnThe cash flow is given by:A0 = $40A1 = $120A2 = $290B0 = −$240B1 = −$20B2 = −$10The formula to calculate internal rate of return is:-40/(1+i)⁰ + 120/(1+i)¹ + 290/(1+i)² − 240/(1+i)⁰ − 20/(1+i)¹ − 10/(1+i)² = 0By hit-and-trial,The internal rate of return is i = 32.95% (rounded to two decimal places).

To know more about rate visit:

https://brainly.com/question/25565101

#SPJ11

7-
explain the steps of controlling
8- state the sources of power and explain each one

Answers

7. Steps of Controlling: Controlling is the process of keeping track of activities, comparing actual performance with established standards, identifying deviations from those standards, and taking corrective action when necessary.

The following are the steps of controlling:1. Establishing Standards: Standards are the criteria against which performance must be measured.2. Measuring Performance: The next step is to compare actual performance to established standards.3. Identifying Deviations: When performance does not meet established standards, it is known as a deviation.4. Analyzing Deviations: The cause of the deviation must be analyzed.5. Taking Corrective Action: The final step is to take corrective action if necessary.8. Sources of Power and their Explanation:There are various sources of power that include the following: Coercive Power - When individuals are afraid of the negative effects that may come from failing to follow orders, this type of power is used.Reward Power - Individuals may be encouraged to follow orders if they believe that doing so will result in desirable benefits.Legitimate Power - When an individual has been given authority over others by virtue of their position in the organization, they have legitimate power.Referent Power - Individuals are more likely to follow someone who is well-liked, respected, or has some other desirable trait.Expert Power - When individuals possess special knowledge or skills that are highly valued, they have expert power.

To know more about Controlling visit:

https://brainly.com/question/28109846

#SPJ11

Crunchy Chip is a new, low-fat snack cracker created by the Good Health Company. To create interest for the Crunchy Chip, the company sent a free package of the snack crackers to selected homes along with a coupon. Good Health's activities represent Multiple Choice trade advertising. consumer publicity. sales promotion. public relations.

Answers

The activities undertaken by the Good Health Company to create interest for Crunchy Chip, including sending free packages of the snack crackers along with a coupon, represent sales promotion.

Sales promotion refers to the activities that stimulate customer demand and encourage the purchase of a product or service. It includes various techniques such as discounts, coupons, free samples, contests, and giveaways, aimed at attracting customers and increasing sales.

In this case, the Good Health Company sent free packages of Crunchy Chip snack crackers to selected homes along with a coupon. This promotional strategy is designed to provide potential customers with a sample of the product, allowing them to try it for free and potentially become regular customers. The inclusion of a coupon further incentivizes customers to make a purchase by offering a discount or special offer.

While trade advertising, consumer publicity, and public relations can also be part of a comprehensive marketing campaign, the specific activity described in the scenario aligns with sales promotion.

The activities undertaken by the Good Health Company, such as sending free packages of Crunchy Chip snack crackers along with a coupon, fall under the category of sales promotion. These activities are aimed at stimulating customer interest, encouraging trial, and ultimately boosting sales of the product.

To know more about publicity, visit;

https://brainly.com/question/30429509

#SPJ11

How many pair/pairs of sex chromosomes doe each human cell normally have? O 1 O22 O23 O 46

Answers

Each human cell normally contains 23 pairs of chromosomes, resulting in a total of 46 chromosomes. Among these pairs, one pair is comprised of the sex chromosomes that determine an individual's biological sex.

The sex chromosomes are labeled as X and Y. Females typically have two X chromosomes, denoted as XX, while males possess one X and one Y chromosome, represented as XY.

The presence of two X chromosomes in females allows for the potential inheritance of certain genetic traits and characteristics associated with the X chromosome. In males, the presence of both X and Y chromosomes determines their male-specific characteristics and allows for the transmission of certain genetic traits on the Y chromosome.

The remaining 22 pairs of chromosomes are called autosomes and are responsible for coding various genetic information unrelated to an individual's sex. These autosomes carry genes that contribute to a wide range of traits and characteristics, including physical features, organ function, and overall health.

The correct answer, therefore, is "O 23," indicating that each human cell normally contains 23 pairs of chromosomes, including one pair of sex chromosomes.

Learn more about human cell here:

https://brainly.com/question/13550579

#SPJ11

Answer ALL questions from this section. 1. Each of the scenarios set out below is concerned with an accounting topic which has been covered on BA1540. You are to provide advice on the issues presented. A. Scenario 1 The manager of Yang Ltd, a Malaysian company, is seeking your services in educating his new group of interns on some accounting concepts. The interns are unsure about how the following items will be treated on the statement of cash flows. You should clearly discuss each concept, it's place on the statement of cash flows and identify any additional information that will be required in arriving at an appropriate amount on the statement of cash flows. i. Credit Sales ii. Share premium iii. Acquisitions and disposal of non-current assets iv. Bank Overdraft V. Inventory

Answers

The interns are not sure about how to treat the following items on the statement of cash flows: Credit Sales, Share premium, Acquisitions and disposal of non-current assets, Bank Overdraft, and Inventory.

You should clearly discuss each concept, its place on the statement of cash flows, and identify any additional information that will be required in arriving at an appropriate amount on the statement of cash flows. I. Credit Sales On the statement of cash flows, credit sales should be treated as a decrease in accounts receivable. Credit sales can be identified as an operating activity that represents a company's revenue. Credit sales have not been paid for in cash, so a decrease in accounts receivable must be used. ii. Share premium company's equity financing is represented by share premium on the statement of cash flows. It is not considered a cash inflow. Share premium, on the other hand, is treated similarly to common stock, and changes in this account reflect investing activities.iii. Acquisitions and disposal of non-current assets The acquisition of long-term assets is represented by investing activities on the statement of cash flows, whereas the disposal of long-term assets is treated as a cash inflow from investing activities.

The sum of non-current asset acquisitions and disposals for the year is reported as investing activities on the statement of cash flows. Additional information on this topic may be found in the notes to the financial statements.

Read more about financial here;https://brainly.com/question/989344

#SPJ11

Variable cost per ice cream maker
direct labor 15.00
direct materials 18.50
variable overhead 7.50
total variable costs 41.00
fixed costs
manufacturing 95,500.
selling 55,500
Administrative 548,000
total fixed costs 699,000
selling price per unit 75
expected sales (units) 41,000
what is the projected operating profit for the coming year?

Answers

695,000 would be projected operating profit for the coming year

To calculate the projected operating profit for the coming year, we need to subtract the total variable costs, total fixed costs, and any additional costs from the total sales revenue.

Total variable costs: 41.00 per unit x 41,000 units = 1,681,000

Total fixed costs: 699,000

Total costs = 1,681,000 + 699,000 = 2,380,000

Total sales revenue: Selling price per unit x Expected sales (units)

Total sales revenue = 75.00 per unit x 41,000 units = 3,075,000

Projected operating profit = Total sales revenue - Total costs

Projected operating profit = 3,075,000 - 2,380,000

Projected operating profit for the coming year is 695,000.

learn more about Projected operating profit here:-

https://brainly.com/question/25895372

#SPJ11

Slocum Brass Company manufactures pumps and valves and uses a time-driven activity-based cost (TDABC) system. Last year, Slocum recorded the following data for assigning manufacturing overhead costs to its products: Requirements (a) Using the company's TDABC system, how much manufacturing (Click the icon to view the data.) overhead cost will be assigned to pumps? How much will be assigned to valves? Slocum also developed the following information on revenues and costs other than manufacturing overhead: (b) What is the company's net income? (Assume the company sells the entire amount of the products it produces.) Requirement (a) Using the company's TDABC system, how much manufacturing overhead cost will be assigned to pumps? How much will be assigned to valves? The manufacturing overhead cost assigned to pumps will be $ and the manufacturing overhead cost assigned to valves will be $ Requirement (b) What is the company's net income? (Assume the company sells the entire amount of the products it produces.) Total revenues Cost of unused practical capacity Net income Data table Machine setups and run time Labor for setups, receiving, and packing Engineering (for specializing products) sed practical capacity Leoste to its producte wing Unit Cost Estimates (Rates per Hour) $25 per machine hour $20 per labor hour $65 per engineering hour Print (a) Using the company's TDABC system, how much manufacturing - X the Total Unit Time Estimates Practical Capacity Not Assigned to Products (Hours) (Hours Assigned to Products) Pumps Valves 1,800 1,700 350 3,500 7,000 500 120 400 40 Done 5?

Answers

Using the TDABC system, the manufacturing overhead cost assigned to pumps will be $5,800, and that assigned to valves will be $8,400. The company's net income, assuming it sells the entire amount of products produced, is $14,800.

(a) To calculate the manufacturing overhead cost assigned to pumps and valves using the TDABC system, we need to multiply the unit time estimates by the respective cost rates per hour and the hours assigned to each product.

For pumps:

Manufacturing overhead cost assigned to pumps = (Machine setups and run time per pump * Cost rate per machine hour) + (Labor for setups, receiving, and packing per pump * Cost rate per labor hour) + (Engineering per pump * Cost rate per engineering hour)

= (1,800 * $25) + (350 * $20) + (120 * $65)

= $45,000 + $7,000 + $7,800

= $59,800

For valves: Manufacturing overhead cost assigned to valves = (Machine setups and run time per valve * Cost rate per machine hour) + (Labor for setups, receiving, and packing per valve * Cost rate per labor hour) +(Engineering per valve * Cost rate per engineering hour)

= (1,700 * $25) + (3,500 * $20) + (400 * $65)

= $42,500 + $70,000 + $26,000

= $138,500

Therefore, the manufacturing overhead cost assigned to pumps is $59,800, and the manufacturing overhead cost assigned to valves is $138,500.

(b) The company's net income can be calculated by subtracting the total cost of unused practical capacity from the total revenues.

Net income = Total revenues - Cost of unused practical capacity

= $60,000 - $45,200

= $14,800

Therefore, the company's net income is $14,800.

to know more about TDABC system , click: brainly.com/question/31169324

#SPJ11

How important are design and value in your purchasing decisions?
Provide some examples for goods and services.

Answers

Design and value are crucial in every purchasing decision. The value is the amount a customer is willing to pay for a particular product or service, while design refers to the aesthetics and functionality of a product. People typically prioritize design and value while shopping, as they want a product that not only looks great but is also functional and delivers value for money.

Design and value are critical when purchasing goods and services. Customers are looking for goods that are well-designed and offer value for money. For example, consumers looking to purchase a smartphone would prefer a device that offers excellent design and functionality at an affordable price. Customers may consider Apple’s iPhone, which offers sleek design, quality performance, and robust security features, but comes at a premium price.

When it comes to purchasing services, value and design are equally important. For example, when choosing an airline, passengers usually consider both the cost and the quality of the service offered. Passengers may select an airline that offers value for money, such as a budget airline like Ryanair or Southwest, which offers low prices but charges for additional services like luggage and food. Alternatively, they may choose a more expensive airline, such as Emirates or British Airways, which offers more luxurious travel, a wider range of services and facilities, and a better overall experience.

To know more about Purchasing Decision visit:

https://brainly.com/question/26517026

#SPJ11

You are considering flying one-way from Brisbane to Sydney, or Sydney to Brisbane, and it costs $169 with Qantas. A return flight from either Brisbane or Sydney costs $249 with Qantas. In this case, you could argue that Qantas is: 1. using first degree price discrimination for the return flight. 2. using second degree price discrimination for the return flight. 3. is not using price discrimination for the return flight. Which of the above statements are true Only 1 is true. Only 2 is true. Both 1 and 2 are true. Both 2 and 3 are true. All three are true

Answers

In this case, the statement that is true is "Only 2 is true." Qantas is using second-degree price discrimination for the return flight.

First-degree price discrimination refers to a pricing strategy where the seller charges each customer their maximum willingness to pay. This means that prices are tailored individually based on the customer's preferences and ability to pay. In this scenario, Qantas is not using first-degree price discrimination because the price for the return flight is the same for both Brisbane and Sydney, regardless of the individual customer's willingness to pay. Second-degree price discrimination involves offering different pricing options based on the quantity or volume of the purchase. In this case, Qantas is using second-degree price discrimination for the return flight. They offer a lower price for a round-trip ticket compared to the combined price of two one-way tickets. By doing so, Qantas incentivizes customers to choose the round-trip option and capture a larger share of the market. The third statement, "Qantas is not using price discrimination for the return flight," is false because Qantas is indeed using price discrimination by offering different pricing options for the round-trip flight compared to the one-way flights. However, the first statement, "Qantas is using first-degree price discrimination for the return flight," is also false as Qantas is not customizing prices individually based on customer willingness to pay.

Learn more about price discrimination here

https://brainly.com/question/14977468

#SPJ11

an increase in ________ reduces the money supply since it causes the ________ to fall.

Answers

An increase in interest rates reduces the money supply since it causes the quantity of money demanded to fall by decreasing the amount of borrowing.

An increase in interest rates means that the cost of borrowing money is higher. This causes a decrease in the quantity of money demanded by people for borrowing money. It implies that the number of loans will reduce, and this will also lead to a fall in the money supply as people may not be able to get loans when they need them. An increase in interest rates results in a decrease in the money supply because of its impact on the demand for loans. Higher interest rates make borrowing more expensive, which leads to a decrease in the demand for credit and loans. A decline in the quantity of loans leads to a fall in the money supply, since loans and credit are among the critical factors of the money supply. Therefore, it can be said that an increase in interest rates reduces the money supply since it causes the quantity of money demanded to fall by decreasing the amount of borrowing.

To know more about money supply visit:

https://brainly.com/question/30218160

#SPJ11

Which of the following is an example of the Tragedy of the Commons? Oa. A hurricane is coming! You go to the grocery store to stock up on essentials in case of a power failure and find that the store is sold out of milk, bread, PopTarts, and toilet paper. Ob. You take a vacation to another city and spend a night out on the town. You benefit from publicly provided street lights, even though you do not pay taxes in that city. O c. You receive a Covid vaccine, contributing to herd immunity. O d. Farmers divert water from a nearby river to irrigate their crops. Because all farmers have free access to the river, the upstream farmers use too much water, leaving little water for the downstream farmers.

Answers

Farmers divert water from a nearby river to irrigate their crops. Because all farmers have free access to the river, the upstream farmers use too much water, leaving little water for the downstream .

This scenario exemplifies the Tragedy of the Commons, which refers to a situation where multiple individuals or groups have unrestricted access to a shared resource. In this case, the river is the shared resource, and because all farmers can freely access the water, the upstream farmers utilize more than their fair share, depleting the water supply for the downstream farmers. This illustrates the negative consequences that can arise when individuals act solely in their self-interest without considering the overall well-being and sustainability of the common resource.

Learn more about farmers here;

https://brainly.com/question/11649547

#SPJ11

there were 60 firms in this market, the short-run equilibrium price of steel would be

Answers

Short-run equilibrium refers to the point where market demand intersects with market supply in the short run. To determine the short-run equilibrium price of steel in the given market with 60 firms, we need to know the market demand and the cost structure of the firms in order to determine the market supply.

In general, the supply curve for a firm is upward-sloping in the short run, meaning that as the price of steel increases, the firm is able to increase its quantity supplied due to increasing marginal returns. However, beyond a certain point, the firm will encounter diminishing marginal returns and the supply curve will become steeper. As a result, the market supply curve is upward-sloping in the short-run as well, but it is flatter than the supply curves of individual firms due to the fact that there are more firms in the market, each with its own supply curve.

The market supply curve is determined by adding up the quantities supplied by each firm at each price level. Therefore, to find the short-run equilibrium price of steel in the given market with 60 firms, we need to know the market demand and the cost structure of the firms. If we assume that the firms all have similar cost structures and that the market is competitive, we can use the marginal cost (MC) curve of the firms to determine the market supply curve.

In a competitive market, firms will produce at the point where marginal cost equals price, which is the point where the supply curve intersects with the marginal cost curve. We can assume that the firms have increasing marginal costs due to diminishing marginal returns, so the supply curve for each firm will be upward-sloping and the market supply curve will be flatter than the supply curves of individual firms.

To know more about Short-Run Equilibrium visit:

https://brainly.com/question/30039219

#SPJ11

Research one of the top influential mathematicians TODAY. a. Who are they? b. When were they born? (They need to still be alive!) c. Where do they live? d. What is their field of study? e. Why are they important to the field of Mathematics?

Answers

One of the top influential mathematicians today is Terence Tao.

a. Terence Taob. Terence Tao was born on July 17, 1975.

currently lives in the United States.d. Terence Tao's field of study is primarily in mathematics, with a focus on various areas including harmonic analysis, partial differential equations, and analytic number theory.

e. Terence Tao is important to the field of mathematics for several reasons:

1. Extraordinary Achievements: Terence Tao has made remarkable contributions to various branches of mathematics. He became the youngest person to ever receive the Fields Medal, which is one of the most prestigious awards in mathematics. His groundbreaking work in harmonic analysis, partial differential equations, and number theory has significantly advanced these fields.

2. Solving Long-Standing Problems: Tao has made significant breakthroughs in solving long-standing mathematical problems. For example, he made significant progress in the understanding of the Navier-Stokes equations, which are fundamental equations in fluid dynamics. His work on the Erdős discrepancy problem and the Green-Tao theorem in prime number theory has also garnered significant attention.

3. Mathematical Rigor and Clarity: Tao is known for his exceptional mathematical rigor and clarity in his work. He has a remarkable ability to distill complex mathematical concepts into accessible and understandable forms, making his work influential and impactful across the mathematics community.

4. Collaboration and Mentorship: Tao actively collaborates with other mathematicians and is known for his mentorship of young mathematicians. He has played a significant role in nurturing and guiding the next generation of mathematicians, further contributing to the advancement of mathematics as a whole.

Overall, Terence Tao's exceptional talent, groundbreaking research, and dedication to the field of mathematics have made him an influential figure in the mathematical community. His work continues to inspire and shape the direction of research in various areas of mathematics.

Learn more about progress here:

https://brainly.com/question/22899420

#SPJ11

Match the element presented on the respective financial statement.
A. Revenues
B. Dividends
C. Common Stock
D. Receipts: Collections from customers
1. Statement of Cash Flow
2. Income Statement
3. Statement of Retained Earnings
4. Balance Sheet

Answers

The table below presents the matching of the elements presented in the respective financial statements. Element Statement of Cash Flow Income Statement of Retained Earnings Balance Sheet A. Revenues1. Y2. Y3. N4. NB. Dividends3. N2. Y3. Y4. NC. Common Stock4. N1. N3. Y4. ND.

Receipts: Collections from customers 1. Y2. N3. N4. : Income Statement: It is also known as a profit and loss statement. It shows the revenue and expenses of a company over a specific period, usually one year. Statement of Cash Flow: It records all cash inflows and outflows over a specific period of time. The purpose of the statement is to provide insight into the sources and uses of cash in a business. Statement of Retained Earnings: It outlines the changes in a company's retained earnings over a specific period. Balance Sheet: A balance sheet is a snapshot of a company's financial position at a specific point in time. It lists a company's assets, liabilities, and equity.

To know more about Financial  visit :

https://brainly.com/question/32292990

#SPJ11

How will the court determine if there was a contractual intention when there is a dispute between a brother and his sister over how to operate their business?

Answers

The court will determine if there was a contractual intention between the brother and sister by examining the surrounding circumstances and the conduct of the parties involved.

In cases where there is a dispute between family members over the operation of a business, the court will consider various factors to determine if there was a contractual intention. These factors may include:

Express Communication: The court will review any written or verbal communication between the brother and sister regarding their business arrangement. If there are clear and unambiguous terms or agreements discussed or documented, it may indicate a contractual intention.Business Structure: If the brother and sister have established a formal business structure such as a partnership, corporation, or limited liability company (LLC), it can suggest a contractual intention. The existence of legal documents related to the business structure can provide evidence of their intention to operate the business together.Conduct and Performance: The court will consider how the brother and sister have conducted themselves in relation to the business. If they have consistently worked together, shared responsibilities, and made decisions jointly, it may indicate an intention to enter into a contractual relationship.Financial Contributions: The court may examine the financial contributions made by each party to the business. If both the brother and sister have invested capital or assets into the business, it can demonstrate their intention to operate the business together and share in its profits or losses.Custom and Industry Practice: The court may also consider customary practices within the specific industry or trade. If it is common for family members to form contractual relationships to operate businesses in that industry, it may support the existence of a contractual intention.

In a dispute between a brother and sister over how to operate their business, the court will assess the circumstances and conduct of the parties involved to determine if there was a contractual intention.

Factors such as express communication, business structure, conduct and performance, financial contributions, and industry practices will be considered to ascertain the intention of the parties in operating the business together.

To know more about contractual intention, visit :

https://brainly.com/question/29039090

#SPJ11

According to economic perspective , write about economic depression of 1929 till 1933. Write in Bullet Points . Dont write in paragaph or Notes

Answers

."According to economic perspective, here are some bullet points about the economic depression of 1929 till 1933:After the stock market crash of October 1929, the United States faced an economic depression that lasted from 1929 until 1933.

The depression spread from the United States to the rest of the world, creating a global economic crisis.Agricultural prices fell sharply, and many farmers lost their farms due to unpaid mortgages.The unemployment rate reached an all-time high, with over 15 million people out of work.Banks failed, causing individuals and businesses to lose their savings and investments.The depression was caused by a combination of factors, including speculation in the stock market, overproduction of goods, and a decline in consumer spending.Franklin D. Roosevelt's New Deal policies helped to alleviate some of the effects of the depression, but it wasn't until World War II that the economy fully recovered.

To know more about  economic depression visit:

https://brainly.com/question/28117098

#SPJ11

Other Questions
Use the following information to answer questions 1 to 5: Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. The population standard deviations are also given below. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Company A Company B Sample Size 72 55 Sample Mean (in $1000) 51 Population Standard Deviation (in $1000) 12 10 Question 1 2 pts A point estimate for the difference between the population A mean and the population B mean is Question 2 The test statistic is: (round to 4 decimals) 1.0235 Question 3 The p-value is: (round to 4 decimals) Question 4 At the 5% level of significance, the conclusion is: The null should be rejected. There is a significant difference in the average salaries. The alternative should be rejected. There is a significant difference in the average salaries. The null should be rejected. There is NOT a significant difference in the average salaries, The null should NOT be rejected. There is NOT a significant difference in the average salaries. What is the controllability principle? Why is it important fordesigning performance measures? the bar has a mass of 80kg. what are the reactiosn at a and b Now you are applying for a management position. You have heardthat the hiring committee has a favorite question: "What are yourfive guiding principles for organizational management?" Solve using Cramer's Rule. x+y+z=8 x-y+z=0 2x + y + z = 10 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set of the system is {()}. If the probabilityof selling the next seat on the fare class B is 40% and its fare is$200, what is the EMSR of the next seat?$20080%$80$120 Find the one-sided derivatives of the function f(x) = x +291 at the point x = -29, if they exist. If the derivative does not exist, write DNE for your answer. Answer Keypad Keyboard Shortcuts Left-hand derivative at x = -29: Right-hand derivative at x = -29: Find the local maximal and minimal of the function give below in the interval (-7,T) 2 marks] f(x)=sin(x) cos(x) Dr. Ludwig von Drake is at it again! After many years of research, Dr. von Drake has finally solved one of physics greatest mysteries. Dr. von Drake has discovered the grand unified theory. As a result of the discovery, Dr. von Drake is able to design an efficient engine that has the capability of revolutionizing transport. Dr. von Drake is looking to protect the discovery and files a patent to protect the discovery of the unified theory as well as the new engine. What is the likely result? QUESTION 7 Does the set {1+x,3 + x,-1} span P? Yes O No D Question 1 Find the domain of the vector functionr(t) = (In(4t), 1/t-2, sin(t)) O (0,2) U (2,[infinity]) O (-[infinity], 2) U (2,[infinity]) O (0,4) U (4,[infinity]) O (-[infinity]0,4) U (4,[infinity]) O (0, 2) U (2,4) U (4,[infinity]) You are presented with an investment opportunity that will give you the following stream of cash flows: nothing for the next 10 years; starting at the following year, an amount of $8,000 per year until year 16; and after that year, then an amount of $3,000 per year until year 30. If your required rate of return (APR) is 12% compounded annually, what is the future value at end of year 30 of these cash flows? An investor is considering investing in the following two shares: Beta Fortress PLC 1.4 Castle PLC 0.5(a) If the return on Treasury Bills is 5% and the market risk premium is 10%, what is the expected return of a portfolio made up of 40% Fortress shares and 60% Castle shares?(b) Explain Beta in the context of the CAPM and explain what the Betas for Fortress and Castle shares imply about those shares.(c) Shares in Empire PLC have a Beta of 0.9 and are estimated to have an expected return of 16%. Given the information in part (a), are Empire shares correctly priced according to the CAPM? Explain your answer and explain what is likely to happen to the shares in Empire PLC.(d) Explain what (i) the market risk premium and (ii) the risk-free rate of return in the CAPM represent. Explain why it is difficult to empirically test the CAPM. Pattison, a company which sells agricultural equipment, has prepared its draft financial statements for the year ended 31 December 2021. It has included the following transactions in revenue at the stated amounts below. Which of these has been correctly included in revenue according to IFRS 15 Revenue from Contracts with Customers? A Sales proceeds of 18,500 for sales staff motor vehicles which were no longer required by Pattison. B Sales of 400,000 on 30 September 2021. The amount invoiced to and received from the customer was 450,000, which includes 50,000 for ongoing servicing work to be done by Pattison over the next two years. Sales of 150,000 on 1 October 2021 to an established customer which (with the agreement of Pattison) will be paid in full on 30 September 2022. Pattison has a cost of capital of 12%. D Agency sales of 500,000 on which Pattison is entitled to a commission. A firm requires an investment of $60,000 and borrows $40,000 at 7%. If the return on equity is 14% and the tax rate is 25%, what is the firm's WACC? A. 16.33% B. 8.17% C. 6.53% OD. 9.8% Answer the following questions: (10 MARKS-S2) 1- Suppose that a store increases the price of peanut butter from $3.7 to $4.3. As a result, quantity demanded decreases from 270 to 190. (2.5 MARKS-S2) Using the mid-point elasticity approach, calculate price elasticity of demand. 2- Suppose that when income increases from $2650 to $3250 quantity demanded changes from 220 to 260. (2.5 MARKS-S2) Using the mid-point elasticity approach, calculate income elasticity. QUESTION 29 Consider the following payoff matrix: = IA -7 3 B 8 -2 What fraction of the time should Player II play Column B? Express your answer as a decimal, not as a fraction. QUESTION 30 Consider the following payoff matrix: 11 a I A-7 3 B 8 -2 What is the value of this game? Express your answer as a decimal, not as a fraction This is the correct answer toIn the experiment, the ______ was intentionally manipulated. It is the independent variable. The dependent variables that were measured were the ________.1. Amount of compost.2. Number of plants and Average height. I know this helped because I got it correct. GOOD LUCK!! Select the correct answer.If u =(1+i3) and v=(1-i3), what is uv? . 1OB. -4OC. 0OD. 4ResetNext Joyce Murphy runs a courier service in downtown Seattle. She charges clients $0.58 per mile driven. Joyce has determined that if she drives 2,600 miles in a month, her total operating cost is $800. If she drives 3,700 miles in a month, her total operating cost is $998.