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sammy [17]
2 years ago
13

A small company estimating its photocopying expenses finds that the mean number of copies made per day for the past 12 months is

258 copies per day with a standard deviation of 24 copies per day. Which of the following is a correct interpretation of standard deviation?
(a)The number of copies made per day was always between 234 and 282.
(b)About 95% of the time, the number of copies made per day was always between 234 and 282.
(c)The difference between the mean number of copies made per day and the median number of copies made per day was between 234 and 282.
(d)On average, the number of copies made each day was about 24 copies per day away from the mean, 258.
(e)1.5 times the interquartile range of copies made per day is 24
Business
1 answer:
IRINA_888 [86]2 years ago
5 0

Answer:

The answer is: D) On average, the number of copies made each day was about 24 copies per day away from the mean, 258.

Explanation:

Mean: to calculate the mean of an statistical sample, you add all the data points and then divide by the total number of points, in other words is the average value.

Standard deviation: measures how spread out the values are from the sample's mean. The larger the standard deviation, the more spread out the values.

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Given an optimal capital structure that is 50% debt and 50% common stock, calculate the weighted average cost of capital for the
klemol [59]

Answer:

As the WACC is more than 7.5%, option D is the correct answer.

Explanation:

The weighted average cost of capital or WACC is the cost of a firm's capital structure. To calculate the WACC, we multiply the weight of each component of the capital structure by the cost of that component. The components of capital structure can be one or all of the following namely debt, preferred stock and common stock.

The formula for WACC is,

WACC = wD * rD * (1-tax rate)  +  wP * rP  +  wE * rE

Where,

  • w represents the weight of each component
  • r represents the cost of each component
  • D, P and E represents debt, preferred stock and common stock respectively

First we need to determine the cost of debt and equity for this firm.

We use the market value of debt and thus, rate for the calculation of WACC.

The cost of debt will be its yield to maturity as it is the current rate or cost. Thus, rD will be 6%.

The cost of equity can be determined using the constant growth model of DDM 's formula for prcie today.

P0 = D0 * (1+g) / (r - g)

80 = 5 * (1+0.05) / (r - 0.05)

80 * (r - 0.05) = 5.25

80r - 4 = 5.25

80r = 5.25 + 4

r = 9.25 / 80

r = 0.115625 or 11.5625%

WACC = 0.5 * 0.06 * (1-0.3)  +  0.5 * 0.115625

WACC = 0.0788125 or 7.88125%

As the WACC is more than 7.5%, option D is the correct answer.

8 0
2 years ago
Read 2 more answers
Suppose that the market demand for 32-oz. wide mouth Nalgene bottles is Q = 50,000p^-1.076, where Q is the quantity of bottles p
Natasha_Volkova [10]

Answer:

Equilibrium price and quantity

$6.44 and 6768

Consumer surplus

$571,081

Producer Surplus

$5,288

Explanation:

In this question, we are asked to calculate equilibrium price and quantity, consumer surplus and producer surplus.

Please check attachment for complete solution and step by step explanation

4 0
2 years ago
Tina's Track Supply's market-to-book ratio is currently 4.5 times and PE ratio is 10.5 times. If Tina's Track Supply's common st
otez555 [7]

Answer:

$22.2222, $9.5238, respectively

Explanation:

The market-to-book ratio is given by a share's market value divided by its book value, if shares are selling for $100 on the market, the book value is:

B = \frac{\$100}{4.5}=\$22.2222

The price to earnings ratio (PE ratio) is determined as a share's price divided by the earnings per share. Earnings per share are:

E=\frac{\$100}{10.5}\\E=\$9.5238

The book value per share and earnings per share are $22.2222, $9.5238, respectively

5 0
2 years ago
Pendergast, Inc., has no debt outstanding, and has a total market value of $180,000. Earnings before interest and taxes (EBIT) a
satela [25.4K]

Answer:

See the explanation below:

Explanation:

a- Calculate ROE and EPS under each of the economic scenarios before any debt is issued.

Under an expansion

Earnings before interest and taxes (EBIT) = $23,000 * (100% + 20%) = $27,600

Earnings after taxes = $27,600 * (100% - 35%) = $17,940

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $17,940 / $180,000 =

0.0997, or 9.97%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $17,940 /

6,000 = $2.99 per share

Under a recession

Earnings before interest and taxes (EBIT) = $23,000 * (100% - 30%) = $16,100

Earnings after taxes = $16,100 * (100% - 35%) = $10,465

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $10,465 / $180,000 =

0.0581, or 5.81%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $10,465 /

6,000 = $1.74 per share

b- Repeat part a, assuming that the company goes through with the capitalization.

Under an expansion

Earnings before interest and taxes (EBIT) = $23,000 * (100% + 20%) = $27,600

Interest on debt = $75,000 * 7% = $5,250

Page 2 of 2

Earnings after interest = $27,600 - $5,250 = $22,350

Earnings after taxes = $22,350 * (100% - 35%) = $14,527.50

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $14,527.50/ $180,000 =

0.0807, or 8.07%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $14,527.50 /

6,000 = $2.42 per share

Under a recession

Earnings before interest and taxes (EBIT) = $23,000 * (100% - 30%) = $16,100

Interest on debt = $75,000 * 7% = $5,250

Earnings after interest = $16,100 - $5,250 = $10,850

Earnings after taxes = $10,850 * (100% - 35%) = $7,052.50

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $7,052.50 / $180,000 =

0.0392, or 3.92%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $7,052.50 /

6,000 = $1.18 per share

c- Calculate the percentage changes in EPS when the economy expands or enters a recession.

Percentage change under expansion = ($2.42 - $2.99)/$2.99 = 0.1902 decrease, or 19.02% decrease.

Percentage change under recession = ($1.18 - $1.74)/ $1.74 = 0.3218 decrease, or 32.18% decrease

5 0
2 years ago
Suppose that the firms in the perfectly competitive oat industry are currently receiving a price of $2 per bushel for their prod
Delicious77 [7]

Answer:

The firms make a $1 per bushel in profit.

Explanation:

When the price is greater than the long run total costs, then a profit is being generated.  This helps the firms in the perfectly competitive oat industry to remain in the industry since they are making 100% profit on their investments, which they may not get elsewhere.  If they are not making such large profits, some of the firms may decided to leave the industry and relocate their resources to other industries where they can make enough profits.

3 0
2 years ago
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