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Tems11 [23]
3 years ago
5

​(Perpetuities​) What is the present value of the​ following? a. A ​$ perpetuity discounted back to the present at percent b. A

​$ perpetuity discounted back to the present at percent c. A ​$ perpetuity discounted back to the present at percent d. A ​$ perpetuity discounted back to the present at percent
Business
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer:

The present value of a perpetuity is calculated as follows:

= Cashflow / Discount rate

a. Present value of $400 perpetuity discounted at 15%

= 400 / 0.15

= $2,666.67

b. Present value of $3,000 perpetuity discounted at 19%

= 3,000 / 0.19

= $15,789.47

c. Present value of $110 perpetuity discounted at 16%

= 110 / 16%

= $687.50

d. Present value of $60 perpetuity discounted at 12%

= 60 / 0.12

= $500

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The term "Speed to market" alludes to the measure of time it takes for an association to dispatch an item or administrations and make it accessible to the client. It represents time taken by the association to take a shot at the item or administration from Idea, Design, Prototype, Test, Develop, Manufacture and dispatch for the end clients.

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When faced with a conflict, police officers should?
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<span>Policy officers should try to de-escalate the situation to avoid violence whenever possible. Therefore, officers should avoid aggressive approaches or intimidation and should instead be non-confrontations. Physical force should be reserved as an absolute last resort.</span>
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3 years ago
Read 2 more answers
A 60,000 square meter rectangular yard is to be enclosed on three sides by wood fencing that costs $25.00 per meter and on the f
raketka [301]

Answer:

C'(y) = 50 -\frac{3900000}{y^2}=0

And we can solve for y and we got:

y = \sqrt{\frac{3900000}{50}}= 279.285

And using condition (1) we can solve for x and we got:

x= \frac{60000}{279.285}= 214.834

So then the minimum cost for this case would be:

C = 50*279.285 + 65*214.834 = 27928.49

Explanation:

For this case the graph attached illustrate the problem for this case

We know that the total area is 60000, so then we have:

xy = 60000

If we solve for x we got:

x = \frac{60000}{y}  (1)

Now we can define the cost function like this:

C = 2*(25)*y + 25 x +40 x

C(x,y) = 50 y + 65 x

We can use the condition (1) and if we replace in the cost function we have:

C(y) = 50 y + 65(\frac{60000}{y})

Since we need to minimize the cost, we can derivate the function in terms of y and we got:

C'(y) = 50 -\frac{3900000}{y^2}=0

And we can solve for y and we got:

y = \sqrt{\frac{3900000}{50}}= 279.285

And using condition (1) we can solve for x and we got:

x= \frac{60000}{279.285}= 214.834

So then the minimum cost for this case would be:

C = 50*279.285 + 65*214.834 = 27928.49

7 0
3 years ago
After the Interview The job search doesn't end with the interview. After your interview, be sure to follow up with the appropria
iogann1982 [59]

Answer:

The correct answers are letters "A", "D", and "E": Use a business letter format; Send a separate letter to each interviewer; Mention something you liked about the interview.

Explanation:

A <em>job interview </em>does not end after leaving the prospective company where you could work. Most organizations decide to choose one applicant over another if they contact their interviewers after the interview. For that purpose, that last contact must be a <em>formal letter stating what your impressions are of the company and why you are still interested in obtaining the job position</em>. Besides, if there was more than one interviewer, <em>a unique letter should be addressed to each of interviewer</em>.

3 0
3 years ago
Five consumers have the following marginal utilities of apples and pears: Consumer Marginal Utility of Apples Marginal Utility o
Leokris [45]

Answer:

Options C and E

Only Nick and Jake are optimising over his choice of fruit?

Explanation:

The marginal utility obtained from the purchase of a product is the amount of satisfaction derived from purchasing an additional unit of the product.

The utility is maximised when the satisfaction in terms of marginal utilities obtained from each product is equal to each other.

We obtain this simply by dividing the marginal utilities for each fruit by their price, and comparing them.

Dmitiri:

Apples: 8/1 =8

Pears: 10/2 =5

8/1 is not equals to 10/2

Frances:

Apples: 7/1 =7

Pears: 16/2 =8

7 is not equals to 8

Jake:

Apples: 6/1 =6

Pears: 12/2 =6

The marginal utility is equal hence Jake's choice is optimal

Latasha:

Apples: 5/1 =9

Pears: 9/2 =4.5

9 is not equals to 4.5

Nick:

Apples: 4/1 =4

Pears: 8/2 =4

The marginal utility is equal hence Nick's choice is optimal

5 0
3 years ago
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