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Katarina [22]
2 years ago
15

How much must be deposited at the beginning of each year in an account that pays 4%, compounded annually, so that the account wi

ll contain $36,000 at the end of 9 years? (Round your answer to the nearest cent.)
Business
1 answer:
Alex_Xolod [135]2 years ago
7 0

Answer:

Annual deposit= $3,270.91

Explanation:

Giving the following information:

Deposit= beginning of the year

Interest rate= 4% compounded annually

Final value= $36,000

Number of years= 9

To calculate the annual deposit, we need to use the following formula:

FV=  {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}

A= annual deposit

Isolating A:

A= {(FV*i)/ {[(1+i)^n] - 1]} / (1+i)

A= {(36,000*0.04)/ [(1.04^9)-1]} / 1.04

A= $3,270.91

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A financier plans to invest up to $500,000 in two projects. Project A yields a return of 9% on the investment of x dollars, wher
jonny [76]

Answer:

She should invest $300,000 in Project A, and $200,000 in Project B.

Explanation:

Solution

Since Project B yields a higher return, she should invest as much money as possible in it, which is 40% of the total investment  or

or (0.40)($500,000) = $200,000

so

The remaining $500,000 - $200,000 = $300,000 should be invested in Project A.

Therefore, she should invest $300,000 in Project A, and $200,000 in Project B.

5 0
3 years ago
Many academic institutions offer a sabbatical policy. Every seventh year a professor is given a year free of teaching and other
Fittoniya [83]

Answer:

$ 127,773.36

Explanation:

The professor will be in sabbatical  in years 7,  14, 21, 28, 35 and 42

In each of these years, he receives full pay amounting to=50,000

The PV of the sabbatical full pay

= \frac{50,000}{1.04^7} + \frac{50,000}{1.04^14} + \frac{50,000}{1.04^21} + \frac{50,000}{1.04^28} + \frac{50,000}{1.04^35} +\frac{50,000}{1.04^42} = 84,101.22

=50,000/(1+4%)^7+ 50,000/(1+4%)^14+ 50,000/(1+4%)^21+ 50,000/(1+4%)^28+50,000

/(1+4%)^35+ 50,000/(1+4%)^42

==50,000/(1+4%)^7+ 50,000/(1+4%)^14+ 50,000/(1+4%)^21+ 50,000/(1+4%)^28+50,000

/(1+4%)^35+ 50,000/(1+4%)^42

= \frac{50,000}{1.316} + \frac{50,000}{1.732} + \frac{50,000}{2.279}  +\frac{50,000}{2.999} +\frac{50,000}{3.946} + \frac{50,000}{5.193}

=37,993.92 + 28,868.36 + 21,939.45 + 16,672.22 + 12,671.06 + 9,628.35

=  $ 127,773.36

Thus, at an interest rate of 4%, the present value of all the sabbatical earnings amount to $ 127,773.36

6 0
3 years ago
It costs Cool Clothes Company $15 to produce one pair of jeans, but they needed to discontinue production of shirts to focus on
Korolek [52]

Answer:

production cost; opportunity cost

Explanation:

4 0
3 years ago
A consolidation of two corporations usually requires all of the following except Approval by the board of directors of each corp
kotegsom [21]

Answer:

Receipt of voting stock by all shareholders of the original corporations.

Explanation:

A consolidation is when two or more companies come together to form a new legal entity.

For example, Company A + Company B = Company C

Company A and Company B ceases to exist.

For consolidation to take place, the following has to occur :

1. Approval by the board of directors of each corporation.

2. Provision for an appraisal buyout of dissenting shareholders.

3. An affirmative vote by the holders of a majority of each corporation’s voting shares. 

Dissenting shareholders do not receive voting stocks.

I hope my answer helps you.

5 0
3 years ago
A large grocery store would like to study how consumers respond to signage in grocery store aisles. They recruit several volunte
Brums [2.3K]

Answer:

Place more "Buy One, Get One Free" signage throughout the store to spur purchases

Explanation:

Neuromarketing is a new field of marketing which uses medical technologies such as functional Magnetic Resonance Imaging (fMRI) to study the brain’s responses to marketing stimuli. Researchers use the fMRI to measure changes in activity in parts of the brain and to learn why consumers make the decisions they do, and what part of the brain is telling them to do it.

Marketing analysts will use neuromarketing to better measure a consumer’s preference, as the verbal response given to the question “Do you like this product?” may not always be the true answer. This knowledge will help marketers create products and services designed more effectively and marketing campaigns focused more on the brain’s response.

Neuromarketing will tell the marketer what the consumer reacts to, whether it was the color of the packaging, the sound the box makes when shaken, or the idea that they will have something their co-consumers do not.

4 0
3 years ago
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