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AveGali [126]
3 years ago
12

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and

20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?A) 5%B) 15%C) 25%D) 35%E) 45%
Business
1 answer:
ella [17]3 years ago
4 0

Answer:

Summer vacation but not winter vacation = 5 %

so correct option is A) 5%

Explanation:

given data

winter vacation = 75 %

winter and a summer vacation = 40%

neither a winter nor a summer vacation = 20%

to find out

what percent of the employees take a summer vacation but not a winter vacation

solution

we know that total is 100 % so

Winter vacation + Summer vacation - Both vacation + Neither vacation  = 100 %   ......................1

put here value we get

Winter vacation + Summer vacation - Both vacation + Neither vacation  = 100 %

75 % + Summer vacation - 40%  +  20% = 100 %

summer vacation =  45 %

so we get now Summer vacation but not winter vacation that is

Summer vacation but not winter vacation =  Summer vacation - both winter and a summer vacation      ...................2

Summer vacation but not winter vacation = 45% - 40 %

Summer vacation but not winter vacation = 5 %

so correct option is A) 5%

You might be interested in
Kicks corporation sells running shoes and during janurary they ran production machines for 20000 total hours and incurred 9000 i
Dafna11 [192]

Answer:

$0.3 per machine hour

Explanation:

The computation of the variable maintenance cost per machine hour using the high low method is shown below:

Variable cost per machine hour = (High maintenance cost - low maintenance  cost) ÷ (High machine hours - low machine hours)

= ($9,000 - $7,200) ÷ (20,000 machine hours - 14,000 machine hours)

= $1,800 ÷ 6,000 machine hours

= $0.3 per machine hour

7 0
3 years ago
Here are returns and standard deviations for four investments. Return (%) Standard Deviation (%) Treasury bills 4.5 0 Stock P 8.
Jlenok [28]

Answer:

a. Standard deviation of the portfolio = 7.00%

b(i) Standard deviation of the portfolio = 30.00%

b(ii) Standard deviation of the portfolio = 4.00%

b(iii) Standard deviation of the portfolio = 21.40%

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Here are returns and standard deviations for four investments.

                                  Return (%)           Standard Deviation (%)

Treasury bills                4.5                                    0

Stock P                          8.0                                   14

Stock Q                        17.0                                  34

Stock R                       21.5                                    26

Calculate the standard deviations of the following portfolios.

a. 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

b. 50% each in Q and R, assuming the shares have:

i. perfect positive correlation

ii. perfect negative correlation

iii. no correlation

(Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

The explanation to the answer is now provided as follows:

a. Calculate the standard deviations of 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

Since there is no correlation between Treasury bills and stocks, it therefore implies that the correlation coefficient between the Treasury bills and stock P is zero.

The standard deviation between the Treasury bills and stock P can be calculated by first estimating the variance of their returns using the following formula:

Portfolio return variance = (WT^2 * SDT^2) + (WP^2 * SDP^2) + (2 * WT * SDT * WP * SDP * CFtp) ......................... (1)

Where;

WT = Weight of Stock Treasury bills = 50%

WP = Weight of Stock P = 50%

SDT = Standard deviation of Treasury bills = 0

SDP = Standard deviation of stock P = 14%

CFtp = The correlation coefficient between Treasury bills and stock P = 0.45

Substituting all the values into equation (1), we have:

Portfolio return variance = (50%^2 * 0^2) + (50%^2 * 14%^2) + (2 * 50% * 0 * 50% * 14% * 0) = 0.49%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.49%)^(1/2) = (0.49)^0.5 = 7.00%

b. 50% each in Q and R

To calculated the standard deviation 50% each in Q and R, we first estimate the variance using the following formula:

Portfolio return variance = (WQ^2 * SDQ^2) + (WR^2 * SDR^2) + (2 * WQ * SDQ * WR * SDR * CFqr) ......................... (2)

Where;

WQ = Weight of Stock Q = 50%

WR = Weight of Stock R = 50%

SDQ = Standard deviation of stock Q = 34%

SDR = Standard deviation of stock R = 26%

b(i). assuming the shares have perfect positive correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 1) = 9.00%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (9.00%)^(1/2) = (9.00%)^0.5 = 30.00%

b(ii). assuming the shares have perfect negative correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = -1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * (-1)) = 0.16%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.16%)^(1/2) = (0.16%)^0.5 = 4.00%

b(iii). assuming the shares have no correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 0

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 0) = 4.58%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (4.58%)^(1/2) = (4.58%)^0.5 = 21.40%

8 0
3 years ago
The following transactions have been journalized and posted to the proper accounts: 1. Mark Call invested $7,000 cash in his new
goblinko [34]

Answer:

$6,450

Explanation:

Calculation to determine the balance in Cash for this design service business

Using this formula

Cash balance=Cash Amount invested+Cash Received-Rent- Equipment purchased-Supplies

Let plug in the formula

Cash balance=$7,000+$3,000-$700-$2,000-$850

Cash balance=$6,450

Therefore the balance in Cash for this design service business is $6,450

8 0
3 years ago
Information technology has advanced dramatically within the last 25 years or so. At the same time there have been significant sh
Karo-lina-s [1.5K]

Answer:

Did the technology push the changes in the world, or was it the other way around? What evidence is opinion based upon or how did you draw your conclusions?

In my opinion the world started to change during the 1970s when Steve Jobs introduced the personal computer. Before him, only huge corporations could afford computers since they were huge and costed millions. Since then, information technology (IT) has increased in gigantic steps and when the internet was available for public use, the world as we know it changed.

When the world was struggling again during the great recession, my hero came back and changed the way IT industry again with the iPhone and the whole app culture. I am a little over 25, and I can tell that everything was very different when I was a small kid. You actually needed to read a newspaper and use encyclopedias (very large books).

Now everything is on the web and now most of us are even working using the internet. In just seconds we know what is happening in China or any other country in the world, while before all we heard about China was that were many Chinese and they were communists. IT has enabled whole new industries that boost the economy much more than any other manufacturing business ever had. The world would be a much different place if it wasn't for the Apple I, the internet or the iPhone.

4 0
2 years ago
Assume that we are in the MM world. Health and Wealth Company is financed entirely by common stock that is priced to offer a 12
Levart [38]

Answer:

13%

Explanation:

the new cost of equity = old cost of equity + [(debt / equity) x (old cost of equity - cost of debt)]

the new cost of equity = 12%+ [(20 / 80) x (12% - 8%)] = 12% + 1% = 13%

Since we are in the MM world, taxes do not exist, therefore they are not included in the equation.

7 0
3 years ago
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