Answers
The characteristics of exponents are a number equal to 1 if the field has characteristic 0, and equal to p if the field has characteristic p > 0.
A power is a mathematical operation written bn, involving two numbers with a base b and an exponent or power n, pronounced "b (power) power (effective) n". If n is a positive integer, exponentiation is equivalent to repeated radix multiplication.
That is, bn is the product of n bases. The exponent is usually represented by a superscript to the right of the base. In this case, bn means "b to the nth power", "b (raise) to the nth power", "b to the nth power", "b to the nth power", or simply "b". to n'.
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Related Questions
Calculating Cost of Debt For the firm in the previous problem, suppose the book value of the debt issue is $35 million. In addition, the company has a second debt issue on the market, a zero coupon bond with 12 years left to maturity; the book value of this issue is $80 million and the bonds sell for 61 percent of par. What is the company’s total book value of debt? The total market value? What is your best estimate of the aftertax cost of debt now?
Answers
The best estimate of the aftertax cost of debt for the firm is 3.47% in the given case.
To calculate the total book value of debt, we sum the book values of both debt issues:
Total book value of debt = Book value of debt issue 1 + Book value of debt issue 2
Total book value of debt = $35 million + $80 million
Total book value of debt = $115 million
To calculate the market value of the zero coupon bond, we need to find 61% of the face value:
Market value of zero coupon bond = 0.61 x Face value of zero coupon bond
Market value of zero coupon bond = 0.61 x $80 million
Market value of zero coupon bond = $48.8 million
The total market value of debt is the sum of the market values of both debt issues:
Total market value of debt = Market value of debt issue 1 + Market value of debt issue 2
Total market value of debt = $35 million + $48.8 million
Total market value of debt = $83.8 million
To find the aftertax cost of debt, we need to first calculate the yield to maturity on the zero coupon bond. We know that the bond has 12 years left to maturity and sells for 61% of par, so we can use the following formula to find the yield to maturity:
61% of face value = $48.8 million
Par value = $100 million
Years to maturity = 12
Yield to maturity = ?
Solving for the yield to maturity using a financial calculator or spreadsheet, we get:
Yield to maturity = 4.83%
Next, we need to find the aftertax cost of debt for both debt issues separately and then weight them by their respective market values. We are given that the company's tax rate is 40%.
For the first debt issue, we are given that the coupon rate is 8% and that the bonds are currently selling at par, so the beforetax cost of debt is 8%. The aftertax cost of debt is:
Aftertax cost of debt issue 1 = Beforetax cost of debt issue 1 x (1 - Tax rate)
Aftertax cost of debt issue 1 = 8% x (1 - 40%)
Aftertax cost of debt issue 1 = 4.8%
For the zero coupon bond, we already calculated the yield to maturity, which is the beforetax cost of debt. The aftertax cost of debt is:
Aftertax cost of debt issue 2 = Beforetax cost of debt issue 2 x (1 - Tax rate)
Aftertax cost of debt issue 2 = 4.83% x (1 - 40%)
Aftertax cost of debt issue 2 = 2.90%
Finally, we can weight the aftertax costs of debt by their respective market values to get the overall aftertax cost of debt:
Overall aftertax cost of debt = (Market value of debt issue 1 / Total market value of debt) x Aftertax cost of debt issue 1 + (Market value of debt issue 2 / Total market value of debt) x Aftertax cost of debt issue 2
Plugging in the numbers, we get:
Overall aftertax cost of debt = ($35 million / $83.8 million) x 4.8% + ($48.8 million / $83.8 million) x 2.90%
Overall aftertax cost of debt = 3.47%
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3. What is the most appropriate method to collect average number of cars using the new highway in a month time? (A) Observation (B) Telephone interview (C) Questionnaire (D) Experiment
Answers
The most appropriate method to collect the average number of cars using the new highway in a month time would be through observation. So, the answer is A.
What's observation of collection method?This involves physically observing the highway and recording the number of cars passing through during a specific time period, such as a day or a week.
This method is reliable and accurate as it provides first-hand information without relying on people's opinions or memory. Telephone interviews and questionnaires may not be as accurate as people may provide estimates or guesses instead of actual data.
Experiments may not be suitable for this situation as it involves manipulating variables, which may not be possible or practical for collecting the average number of cars. Therefore, observation is the best method to collect reliable and accurate data for this scenario.
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Lucido Products markets two computer games: Claimjumper and Makeover. A contribution format income statement for a recent month for the two games appears below:
Claimjumper Makeover Total
Sales $106,000 $53,000 $159,000
Variable expenses 32,800 6,950 39,750
Contribution margin $73,200 $46,050 119,250
Fixed expenses 82,575
Net operating income $36,675
Requirement:
1: Compute the overall contribution margin (CM) ratio for the company.
2: Compute the overall break-even point for the company in sales dollars.
3: Verify the overall break-even point for the company by constructing a contribution format income statement showing the appropriate levels of sales for the two products.
Answers
Answer and Explanation:
1. The computation of overall contribution margin ratio is shown below:-
Overall contribution margin ratio = Total contribution ÷ Total sales
= $119,250 ÷ $159,000
= 75%
2. The computation of overall break-even point for the company in sales is shown below:-
Overall Break even = Fixed costs ÷ Contribution margin
= $82,575 ÷ 75%
= $110,100
3. The overall break-even point for the company by constructing a contribution format income statement showing the appropriate levels of sales for the two products is shown below:-
here, Sales at Break even in the ratio will be 2:1
Particulars Claimjumper Makeover Total
Sales $106,000 $53000 $159,000
($106,000 ÷ $159,000 × $110,100) ($53,000 ÷ $159,000 × $110,100)
Break even
sales $73,400 $36,700 $110,100
Particulars Claimjumper Makeover Total
Sales $73,400 $36,700 $110,100
Variable expense $22,712 $4,813 $27,525
Contribution margin $50,688 $31,887 $82,575
Fixed expense $82,575
Net operating income 0
Working Note
Variable expense for Claimjumper = Variable expenses ÷ Sales × Break even sales
= $32,800 ÷ $106,000 × $73,400
= $22,712
Variable expense for Makeover = Variable expenses ÷ Sales × Break even sales
= $6,950 ÷ $53,000 × $36,700
= $4,813
At December 31, the unadjusted trial balance of H&R Tacks reports Software of $34,500 and and zero balances in Accumulated Amortization and Amortization Expense. Amortization for the period is estimated to be $6,900. Prepare the adjusting journal entry on December 31. Prepare the T-accounts for each account, enter the unadjusted balances, post the adjusting journal entry, and report the adjusted balance.
Answers
Answer:
Dr amortization expense $6,900
Cr Accumulated amortization $6,900
Explanation:
The adjusting journal on 31 December is to reflect the amortization charge of $6,900 in both accumulated amortization and amortization expense accounts.
Find attached t-accounts,note that amortization expense account would not have a closing balance as the amount of amortization is written to income statement
Suppose that a portfolio management company manages an investment fund. The fund
manager observes a bond in the market and intends to add it to the fund portfolio. The
bond has a 100.000 TL par value, 10% coupon rate (coupon payments are annual) and a
6-years maturity. The business model is to “hold-to-maturity”. The company purchases
the bond at the beginning of the year when the market yields are 8%. After exactly 3
years of investment, market yields increase to 12%. What would be the profit or loss
amount in the income statement for that third year?
a) 1.427,92 TL loss
b) 1.470,06 TL profit
c) 8.529.94 TL profit
d) 10.000 TL loss
Answers
Answer: The correct answer is (a) 1.427,92 TL loss.
Explanation:
To calculate the profit or loss for the third year, we need to determine the market value of the bond at the end of the second year and compare it to the par value of 100,000 TL.
At the beginning of the investment, the bond has a coupon rate of 10% and a market yield of 8%, so its price is:
PV = (10000/1.08) + (10000/1.08^2) + (110000/1.08^3) = 104,406.40 TL
After 3 years, the market yield has increased to 12%, so the bond's price would have changed to reflect this new yield. To calculate the new price, we can discount the remaining coupon payments and the par value at the current market yield:
PV = (10000/1.12^1) + (10000/1.12^2) + (10000/1.12^3) + (100000/1.12^3) = 88,572.08 TL
The market value of the bond at the end of the second year is 88,572.08 TL, which represents a loss compared to the par value of 100,000 TL:
Loss = 100,000 - 88,572.08 = 11,427.92 TL
Therefore, the correct answer is (a) 1.427,92 TL loss.
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Calvin is the night security officer at a children's museum. What might be one task that Calvin performs as part of his job?
Answers
Answer:
viewing video surveillance and conducting walk throughs
Explanation: I took the test
All slides in a presentation must use the same transition. True or False?
Answers
Prepare a comparative income statement for any company extracting their P&L statement for the years 2020-21 & 2021-22. Analyse the incline and decline in the different elements in the P&L Statement and provide detailed insights.
Answers
Answer:
this is my own answer
Explanation:
hi
How to Prepare a Comparative Income Statement?
Step 1: Specify absolute figures of items like goods sold, net sales, selling expenses, etc., relating to the accounting period under consideration for analysis.
Step 2: Calculate the absolute change in the items mentioned in the income statement.
Teamwork Skills
And what you can learn from it
In in skill In
life
Answers
Communication.
Time management.
Problem-solving.
Listening.
Critical thinking.
Collaboration.
Leadership.
And you can learn how to respectfully and confidently express their ideas and opinions effectively in a group setting.
Candra has compiled her rewritten notes, vocabulary lists, potential test questions and her previous tests. Which main component to a strong study guide is she missing? a. Class notes c. Graphic organizers b. Flashcards d. None of these
Answers
Answer:
the answer is C
Explanation:
i just took the test hope this helps
Graphic organizers is the main component to a strong study guide is she missing. Hence, option C is correct.
What is Graphic organizers?A visual and graphic display known as a graphic organizer shows the connections between vocabulary, concepts, and facts within a learning task. In addition to being known as graphic organizers, knowledge maps, concept maps, story maps, cognitive organizers, advance organizers, and concept diagrams are other names for them.
Students are supposed to use this graphic organizer from The Resourceful Teacher to arrange information by responding to the 5 Ws: who, what, when, where, and why.
In any topic area, graphic organizers are beneficial teaching resources. They serve as a pre-writing aid for essays, assist students in organizing their thoughts and ideas for answering questions, and present information visually.
Thus, option C is correct.
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If the cost of a product is br 92.00 and the company is having a policy of 15% mark-up on cost then the sales price will be
Answers
Based on the information given the sales price will be: 105.8.
Using this formula
Sales price=Cost+(Cost ×Mark up percentage)
Where:
Cost=92.00
Mark up percentage=15% or 0.15
Let plug in the formula
Sales price=92+(92×0.15)
Sales price=92+13.8
Sales price=105.8
Inconclusion the sales price will be: 105.8.
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Jane wrote a check for $10, but was so careless and negligent that it was easy to alter. She gave this check to Ben, who changed the check to read $1,000. The alteration was pretty obvious to anyone who saw the check, but when he cashed the check at Jane’s bank, they deducted $1,000 from Jane’s account. If Jane sued the bank for the loss, would she be able to recover? If so, how much could she recover, and how would that be determined?
Answers
Answer: Yes, she will be able to recover her full loss.
Explanation:
Write down the factors on which supply flexibility is based.
Answers
Now the supply chain flexibility is based make to order strategy, low volumes, low switching costs and low stocks.
The factors on which supply flexibility is based were the supply chain flexibility. It was based on the order strategy. The low volumes and the low switching cost is there in it.
What is strategy?An organization's long-term objectives and the plan it has to achieve them are referred to as its strategy. In other words, it demonstrates the strategy for achieving the stated goal. The specific steps taken to accomplish the objectives in accordance with the strategy are referred to as a tactic.
The term supply-chain flexibility refers to that, The ability that makes adjustable to the production levels, The raw materials, or the purchase or transport capacity for immense benefits. They were compared to traditional supply chain management.
Therefore, As a result, The supply chain management was rigid that was not allow for rapid changes.
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The below two statements are related to mindfulness
a. It is not obscure or exotic.
b. It is evidence-based.
TRUE
FALSE
Answers
It is true that mindfulness is evidence based and false that it is exotic.
What is mindfulness?Mindfulness. It's an easy term to understand. It implies that the mind is entirely focused on what is taking place, what you are doing, and the environment you are moving through. That might sound insignificant, but it annoys me that we frequently stray from the topic at hand. When our mind wanders, we get disconnected from our physical selves and quickly become preoccupied with compulsive thoughts about the past or worry about the future. And it stresses us out.
However, awareness is always present to bring us back to where we are, what we are doing, and how we are feeling, no matter how far we go. It's great to give mindfulness a go for a time if you want to understand what it is. You will discover tiny variances in the meaning in books, online, audio, and video since it's difficult to put into words.
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Suppose Martha and Julia both work at a bakery making bread and muffins. In an hour, Martha can either make 10 loaves of bread or 40 muffins, while Julia can either make 12 loaves of bread or 60 muffins. Both Martha and Julia work 8 hours a day.
a. Draw Martha's daily PPC.
Instructions: Use the tool provided to draw Martha's PPC curve. Plot only the endpoints and locate these endpoints on the axes of the diagram.
b. Draw Julia's daily PPC.
Instructions: Use the tool provided to draw Julia's PPC curve. Plot only the endpoints and locate these endpoints on the axes of the diagram.
c. What is the opportunity cost to each of making one loaf of bread?
Martha's opportunity cost of making a loaf of bread: muffins
Julia's opportunity cost of making a loaf of bread: muffins
d. What is the opportunity cost to each of making one muffin?
Instructions: Enter your responses rounded to two decimal places.
Martha's opportunity cost of making a muffin: loaves of bread
Julia's opportunity cost of making a muffin: loaves of bread
e. Who has the comparative advantage in making bread?
Neither
Julia
Martha
f. Who has the absolute advantage in making bread?
Julia
Neither
Martha
g. Suppose you are the owner of the bakery. If Julia and Martha are currently both spending all of their time making muffins, then which of them should you ask to start making bread?
Martha because her opportunity cost of making bread is higher than Julia's.
Julia because her opportunity cost of making bread is lower than Martha's.
Martha because her opportunity cost of making bread is lower than Julia's.
Answers
If Julia and Martha are currently both spending all of their time making the muffins, then Martha because her opportunity cost of making the bread is higher than Julia's.
What is opportunity cost?Opportunity cost is the value of the next best alternative that must be foregone in order to pursue a certain action or decision. In other words, it is the cost of what is given up in order to obtain something else. For example, if a person decides to spend money on a vacation, the opportunity cost would be the other things they could have done with that money, such as investing or saving it. Opportunity cost is an important concept in economics, as it helps individuals and businesses make informed decisions by weighing the benefits and drawbacks of different options. It is also a reminder that resources are scarce and every choice comes with a trade-off.
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Which examples demonstrate tasks commonly performed in Printing Technology jobs? Check all that apply.
Curtis writes articles for a local newspaper.
Opal creates a schedule for all the printing press projects lined up for a facility.
Ramona writes a long novel.
Natasha assigns articles to Reporters and Correspondents.
Glenn uses computer software to prepare a document for publishing.
Theo sews together bindings for books.
Answers
Answer:
2,5,6
Explanation:
Answer:
-Opal creates a schedule for all the printing press projects lined up for a facility.
-Glenn uses computer software to prepare a document for publishing.
-Theo sews together bindings for books.
Explanation:
or 2,5,6
Widgets, Inc., based in the United States, makes small parts for the auto industry. Over the past couple of years, Widgets has laid off many workers due to auto industry outsourcing. The federal government has imposed tariffs to discourage outsourcing. This is called
Answers
Answer:
This is called:
Trade Restriction
Explanation:
Outsourcing to foreign markets can cripple domestic industries, increase local unemployment, and impose trade imbalance. To check excessive outsourcing, the federal government imposes tariffs. Such a trade restriction is considered necessary within the domestic economy. But it may be regarded as a restriction of free trade within the international community.
The policy adopted by the federal government that imposed tariffs to discourage outsourcing is known as Protectionism policy.
A Protectionism policy are adopted or enforced to protect the domestic workers or industries against external bodies.
Hence, the policy adopted by the federal government that imposed tariffs to discourage outsourcing is known as Protectionism policy.
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In the food service industry, recipes are invaluable because they provide a way for cooks, no matter who or where they are, to achieve consistency of _____ and ______. volume; scale
strain; tare
quality: yield
weight: gauge
Answers
Answer: quality: yield is correct
Explanation: Took the test
In the food service industry, recipes are invaluable because they provide a way for cooks, no matter who or where they are, to achieve consistency of quality and yield. Thus, option (c) is correct.
What is food?The term “food” refers to an edible and consumable material that provides the body with nutrition and vitamins to maintain itself. Plants, humans, animals, and birds all typically eat food. fruits, vegetables, legumes, dairy, and other nutrient-dense foods. The body need the food in order to function, thus it was consumed.
According to the food service sector, was the offered the information of the food as well as the grade of the cuisine. It instructs the cook on what ingredients to use, how to utilize them, and any nutrition facts that may be useful. A recipe's yield is the number of servings it will make.
Therefore, option (c) is correct.
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Explain how the Federal Reserve Board can increase or decrease the money supply using each of the following tools: reserve requirements, open-market activities, and discount rates
Answers
Answer:
Reserve requirements – Reserve requirement increases to decrease the money supply or vice versa.
Open-market activities – the Fed sell the securities to reduce money supply or purchase it to increase the money supply.
Discount rates – Decrease the discount rate to increase the money supply or vice versa.
Explanation:
The Federal Reserve increases or decreases the money supply by using various tools. So in the case of the reserve requirement, the bank increases the percentage of reserve requirement if the Fed wants to decrease the money supply and to increase the money supply it reduces the reserve requirements. In the case of open market operations, the Fed sells securities and bonds in the market in order to reduce the supply of money or to decrease the supply of money it buys the securities from the market.
In the case of a discount rate, the Fed reduces the discount rate to increase the money supply because reducing the discount rate will induce the banks to give more loans. But to decrease the money supply, the Fed increases the discount rate because an increase in the discount rate reduces the ability of banks to give loans.
Sunland Company has accounts receivable of $100,300 at March 31, 2022. Credit terms are 2/10, n/30. At March 31, 2022, there is a
$2,050 credit balance in Allowance for Doubtful Accounts prior to adjustment. The company uses the percentage-of-receivables basis
for estimating uncollectible accounts. The company's estimates of bad debts are as shown below.
Age of Accounts
Current
1-30 days past due
31-90 days past due
Over 90 days past due
(a)
Balance, March 31
2022
2021
$71,300
$82,260
11,800
9,100
8,100
8,230
2,250
Total estimated uncollectibles $
1,100
$100,300 $93,840
Estimated Percentage
Uncollectible
Determine the total estimated uncollectibles at March 31, 2022.
2 %
5
27
53
Answers
Bad debt is estimated to cost $6,080 by the company.
How much room is there for shady accounts?The difference between gross and net accounts receivable is reflected in the contra asset account known as the allowance for doubtful accounts. It shows the balances that the business thinks it won't be able to collect from customers.
What is an example of allowance for questionable accounts?A company may, for instance, anticipate that 3% of net sales will not be collectible based on previous experience. The business reports a bad debt expense of $3,000 and an allowance for doubtful accounts of $3,000 if the total net sales for the period are $100,000.
Each category's balance must be multiplied by the percentage estimate: $7,280 = (60,000 x 0.02), 17,600 x 0.05, 8,500 x 0.2, and 7,000 x 0.5.
Cost of bad debt = current estimate minus pre-adjusted balance = 7,280-1,200, or $6,080
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A clothing eCommerce comapny has an Average Order Value of $65. It costs the company $35 to produce the clothes in the average order and $15 to ship it to the customer. What is the Average Order's Gross Profit? * $65 $50 $30 $15
Previous question
Answers
The average order's gross profit for the ecommerce company is $15. The Option D is correct.
What is the calculation for the gross profit?To calculate the average order's gross profit, we will subtract the total cost of producing and shipping the clothes from the revenue generated by the order.
Revenue generated by the order is $65.
The total cost of producing and shipping the clothes is:
= $35 + $15
= $50.
The gross profit of the average order is:
= $65 - $50
= $15.
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Which of the following is not an uninvited interference with a person’s rights in real property
Answers
License is not an uninvited interference with a person’s rights in real property.
Option A is correct.
What's the significance here in business?Tortious impedance happens when one party slows down an invaluable business relationship of another party, truly hurting. It is essential to keep in mind that this must have been done with intent, and proving it can be difficult.
What exactly is business advantage interference?Obstruction with forthcoming business advantage is a purposeful business misdeed, implying that it is a harming move made against you or your business with full information or potentially goal to really hurt. This could be categorized as "tortious interference" or an unfair competition practice.
Question incomplete:Which of the following is not an uninvited interference with a person's rights in real property?
A.License
B.Fee Simple Interested
C.indirect trespass.
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Which of the following values should be inserted to correctly balance the ledger shown below?
Date Description Deposit Withdrawal Balance
8-13-18 Balance $120.74
8-14-18 Automatic Deposit – Paycheck $343.52
8-14-18 City payment – Water, Trash (Monthly) $53.90
8-14-18 Internet payment (Monthly) $86.40
$222.78
$323.96
$410.36
$464.26
Answers
$120.70 and add the paycheck $343.52
from there you would then minus the City payment of $53.90 and minus the internet payment of $86.40
This would leave you with $323.96
Hope This helps :)
Explain how using a credit card can be similar to
getting an interest free loan
Answers
Answer: Credit cards can easily work as a short-term loan, but cards that offer 0% APR for a limited time have the potential to be “free.” The key to using a credit card as an interest-free loan is making sure you can pay every cent of your balance off before your card's introductory offer ends.
Explanation:
1when accounting for investigational drugs, which of the following statements is true of investigator record keeping?
Answers
The amount of drug received at the research site needs to be tracked when accounting for investigational drugs, and record-keeping of the same. Therefore, the option B holds true.
The process of record-keeping can be referred to or considered as the process that involves the safekeeping of relevant records, mostly in the chronological order of their occurrence. The data created out of record-keeping may be sought as an important evidence of transactions that have taken place within the organization.
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Complete question
when accounting for investigational drugs, which of the following statements is true of investigator record keeping?
A. Investigators do not need to account for investigational drug.
B. The amount of drug received at the research site needs to be tracked.
C. Amount of drug used at the research site is not important to track.
D. Amount of drug on hand includes drug that is not used in the study.
What's the definition of user retention and why it is important?
What drives user retention?
Answers
Answer:
User retention, sometimes referred to as "cohort retention," is a crucial indicator of the development of SaaS and digital goods. The proportion of first-time users that return in future time periods is determined by looking at those users during a given time period (usually one month or one week).
In attempting this merger between Comcast and Time Warner, their executives were trying to fulfill their overriding goal as managers. Which of the following best describes that goal?
Answers
The goal of the executives who were trying to fulfill their overriding goal as managers by attempting this merger between Comcast and Time Warner is to maximize the value of a company for its shareholders.
What is a merger?This refers to the agreement that unites two existing companies into one new company.
In attempting this merger between Comcast and Time Warner, their executives were trying to fulfill their overriding goal as managers in order to maximize the value of a company for its shareholders.
Therefore, the Option C is correct.
Missing options "a. advancing the technology of the industry helps all industry participants
b. the overriding goal of managers is to maximize the value of a company for its shareholders
c. managers are tasked the performing value-chain functional activities at the lowest possible cost.
d. ultimately, a company looks to expand its business activities beyond one market or industry."
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In 2011, Armenia had a real GDP of approximately $4.21 billion and a population of 2.98 million. In 2012, real GDP was $4.59 billion and population was 2.97 million. Armenia's real GDP per person in 2012 was
A) $1,545
B) $380
C) $1,413
D) $132
Answers
Answer:
1,413 WAS armenias real GDP per person In 2012
QUESTION ONE
ABC Ltd wishes to expand its business. On 31 Dec 2021, the company had
the following existing and proposed capital structures to support the
expansion programme.
1. The existing 8% debt capital has a book value of Ksh 50 000 000 and
matures in 10 years. The market value of debt at the close of business on
31 Dec 2021 was Ksh 40 000 000
2. A ten year loan of Ksh 300 000 000 is to be raised at an interest of 10
percent p.a. A cost of Ksh 20 000 000 will be incurred in raising this loan
3. A 12% preference stock capital stands in the books at Ksh 100 000 000
( 1 000 000 shares) and has a total market value of Ksh 150 000 000.
4. There are 40 000 000 ordinary shares with a current market price of Ksh
1500 each. The firm’s expected earnings per share (EPS) stand at Ksh
200, its growth rate is 6% and has a dividend payout of 60%.
5. The company plans to issue 10 000 000 ordinary shares at a market price
of Ksh 1 500 per share. The cost of floating the shares is estimated at Ksh
10 000 000.
Required:
i) Firm’s current weighted average cost of capital (10 marks)
ii) Firm’s expected weighted average cost of capital after the expansion
programme (i.e. marginal cost of capital) (5 marks)
QUESTION TWO
An investor intends to place Ksh 112,000,000 in the 91 days Treasury bill at a quoted rate/yield of 7.65%
p.a.
Required:
a) Compute the investor’s return, assuming that he is withholding tax-payer
b) Compute the investor’s return, assuming that he is non-withholding taxpayer (6 marks)
Answers
Answer:
rat
Explanation:
A machine shop has 100 drill presses and other machines in constant use. The probability
that a machine will become inoperative during a given day is 0.002. During some days, no
machines are inoperative, but on other days, one, two, three, or more are broken down.
What is the probability that fewer than two machines will be inoperative during a
particular day?
Answers
The probability that fewer than two machines will be inoperative during a particular day is approximately 0.982201, or 98.22%.
How did we get the value?To find the probability that fewer than two machines will be inoperative during a particular day, calculate the probability of having zero or one machines inoperative.
Denote the event "a machine becomes inoperative during a given day" as A. The probability of this event is given as P(A) = 0.002.
To calculate the probability of fewer than two machines being inoperative, calculate the probability of zero machines being inoperative (P(0)) and the probability of one machine being inoperative (P(1)), and then sum them up.
The probability of zero machines being inoperative is given by:
P(0) = (1 - P(A))¹⁰⁰
= (1 - 0.002)¹⁰⁰
= 0.980198
The probability of one machine being inoperative is given by:
P(1) = 100 × P(A) × (1 - P(A))^99
= 100 × 0.002 × (1 - 0.002)^99
= 0.198003
Now, calculate the probability of fewer than two machines being inoperative:
P(fewer than two) = P(0) + P(1)
= 0.980198 + 0.198003
= 0.982201
Therefore, the probability that fewer than two machines will be inoperative during a particular day is approximately 0.982201, or 98.22%.
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