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marusya05 [52]
3 years ago
9

Your parents put $300 into an account paying 11 percent interest for you when you were ten. Ten years later they tell you that y

ou can take the money out of the account. What is the balance to the nearest penny
Business
1 answer:
Flauer [41]3 years ago
3 0

Answer:

The balance in the account = $851.8

Explanation:

The future value of a lump sum is the amount expected at a future date when a sum of money is invested today at a particular rate of interest for certain number of years

.

This implies compounding the initial amount invested ($300) at the given interest rate(11%) for 10 years.This will be done as follows:

<em />

FV = PV × (1+r)^(n)

FV-Future value

r- rate of return per period

n- Number of period

PV - 300

r-11%

DATA

FV- ?

PV - 300

n- 10

FV= 300 × 1.11^10 = 851.83

The balance in the account = $851.8

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Two brothers each open IRAs in 2009 and plan to invest $3,000 per year for the next 30 years. John makes his first deposit on Ja
Goryan [66]

Answer:

Future value of John's investment

FV = A<u>(1+r)n+1 - (1+r) </u>

                   r

Fv = $3,000<u>((1 + 0.07)30+1 - (1 +0.07))</u>

                           0.07

FV = $3,000<u>((1.07)31 - (1.07)</u>

                            0.07

FV = $3,000 x 101.0730414

FV = $303,219

Future value of Bill's investment

FV = A<u>((1 + r)n - 1)</u>

                r

FV = $3,000 <u>((1 + 0.07)</u>30 - 1)

                          0.07

FV = $3,000<u>((1.07)30 - 1) </u>

                        0.07

FV = $3,000 x 94.46078632

FV = $283,382

The difference in the value of IRAs

= $303,219 - $283,382

= $19,837

The correct answer is A

Explanation:

In the first case, we need to apply future value of annuity due formula since deposits are made at the beginning of each year.

In the second case, we need to apply future value of an ordinary annuity formula since deposits are made at the end of each year.

6 0
3 years ago
Explain two situations where scarcity effects you
s344n2d4d5 [400]
When I got into a crash ig
4 0
3 years ago
Read 2 more answers
What type of product modification is likely to make the greatest impact on a food product?
Elina [12.6K]

Answer: Aesthetic

Explanation:

The type of product modification that is likely to make the greatest impact on a food product is aesthetic.

Product Modification simply means the improvement of an existing products in such a way that necessary changes are made to the product's nature, size, color, characteristics, nature, packing etc. in order to meet consumers demand. Aesthetic in food products will help the product stand out and beautify it.

7 0
3 years ago
Peterson's Antiquities currently has a 31 day cash cycle. Assume the firm changes its operations such that it decreases its rece
gladu [14]

Answer: 30 days

Explanation: Cash cycle refers to the amount of time it takes for a business from paying cash to its suppliers for raw materials and receiving cash from its customers fro the sales made.

Hence from the above we can say that :-

decrease in inventory will decrease the cycle.

Decrease in receivables will decrease the cycle.

decrease in payables will increase the cycle.

Thus,

cash cycle =  31 days - 2 days + 4 days - 3 days

                  = 30 days

6 0
3 years ago
Why do neoclassical economists tend to put relatively more emphasis on long-term growth than on fighting recession?
Sphinxa [80]

Answer:

The correct answer is C. standard of living is ultimately determined by long-term growth.

Explanation:

The long-term path for economic growth is a fundamental issue of the study of the economy. The increase in the GDP of a country is usually considered as an increase in the standard of living of its inhabitants. Over long periods of time, even small annual growth rates, can have a significant effect. Thanks to its conjugation with other factors.

An annual growth rate of 2.5% would lead to GDP doubling over a period of 30 years. While an annual growth rate of 8%, it would lead to the same phenomenon in a period of only 10 years. Example: Some countries like Asian tigers. When a population increases to see improvements in living standards, GDP has to grow faster than that population. This analysis seeks to understand why there are very different rates of economic growth in some regions of the world.

8 0
3 years ago
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