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Natasha2012 [34]
3 years ago
15

Calculate the future value of $1,000 in a. Four years at an interest rate of 7% per year. b. Eight years at an interest rate of

7% per year. c. Four years at an interest rate of 14% per year. d. Why is the amount of interest earned in part (a) less than half the amount of interest earned in part (b)? b. Eight years at an interest rate of 7% per year. The future value of $1,000 in 8 years at an interest rate of 7% per year is (Round to the nearest dollar.) c. Four years at an interest rate of 14% per year. The future value of $1,000 in 4 years at an interest rate of 14% per year is (Round to the nearest dollar.) d. Why is the amount of interest earned in part (a) less than half the amount of interest earned in part (b)? (Select the best choice below.) A. This results because you earn interest on past interest. Since more interest has been paid at the end of the time period than at the beginning, the money grows faster. B. The interest earned in part (a) is based on a lower effective annual interest rate. C. The annual interest rate in part (b) is slightly higher than the rate assumed in part (a). This is because of compounding D. The amount of interest earned in part (a) is really half of the amount of interest earned in part (b) since in part (b) the money grows for twice as many years as in part (a).
Business
1 answer:
sergij07 [2.7K]3 years ago
7 0

Answer:

We need to use the future value of an investment formula:

F = PV (1 + i)^{n}

Where:

  • F = Future value
  • PV = Present value
  • i = interest rate
  • n = number of compounding periods

a. Four years at an interest rate of 7% per year.

F = 1,000 (1 + 0.07)^{4} \\F = 1,310

b. Eight years at an interest rate of 7% per year.

F = 1,000 (1 + 0.07)^{8\\\\

F = 1,718

c. Four years at an interest rate of 14% per year.

F = 1,000 (1 + 0.14)^{4} \\F = 1,688

d. Why is the amount of interest earned in part (a) less than half the amount of interest earned in part (b)?

The correct answer is A.

Because compound interest capitalizes. This means, that the interest earned in the first year becomes part of the principal, and from that increased principal amount, the new interest rate for the second year is calculated.

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Discuss why South Africa as a country has a scarcity of skilled workers, and how this can be changed more especially in terms of
FromTheMoon [43]

South Africa, as a country still experiences a scarcity of skilled workers.  This should not be, given the country's population size.

<h3>What is the scarcity of skilled workers?</h3>

The scarcity of skilled workers means that South African companies cannot attract the manpower they need to power the South African industry and economy.

However, this scarcity can become a thing of the past if many more South African companies can start investing in the education sector by giving out scholarships, grants, and endowing academic chairs in the universities.

This was how the economy of the United States was enabled to flourish until today.  South African companies can emulate their footsteps.

Thus, South Africa, given its enormous population, has no business experiencing a scarcity of skilled workers.

Learn more about the scarcity of skilled workers at brainly.com/question/1787954

5 0
2 years ago
According to Robert House, the style a leader should use with an individual depends on _____________.
notsponge [240]

Answer:

I don't know you figure it out JK

6 0
2 years ago
Juanita is training for a triathlon, a timed race that combines swimming, biking, and running.
VikaD [51]

Answer:

Juanita's trainning dilema:

B:People face trade-offs

Icestorm:

A:Markets allocate goods effectively.

Explanation:

Any hour on swimming trainning is one less for bike or running.

Also an hour runnings is one less for swimming or running

an bike hours negate the change for swimming or running.

This is the concept of opportunity cost. chose something is also chose not to do anything else.

When there is need of a certain good, batteries in this case, the market (which is the sum of all people willing to do business) will allocate resource when needed. As the demand for batteries and flashlights increased, the stores chose to purchase these instead of other to replenish the stock and make a stand to the increased demand.

8 0
4 years ago
If marginal cost is greater than average total cost, then
Ber [7]

Answer:

d. the average total cost is increasing.

Explanation:

The average total cost if the average cost of producing one unit, where as the marginal cost if the additional cost of producing an additional unit, so when the marginal cost is greater than the average total cost, it means that producing new units will drive the average total cost up because the cost to produce one more unit is more than the average total cost. This means that the new unit being produced costs more than the previous units produced if we take an average. We can also prove this mathematically.

If a factory produces 100 units, at a total cost of 10,000.

The average total cost if 10,000/100=100

If the marginal cost is greater than the average cost for example it is 150 then the total cost is 10,000+150=10,150

Also the average total cost will be 10,150/101=100.49

This shows that when the marginal cost is greater than average total cost the average total cost is increasing.

5 0
3 years ago
.Academic studies suggest that the amount people tip at restaurants is only slightly related to the quality of service, and that
AlexFokin [52]

There are various forms of market failure, though it is commonly defined in economics as a situation where the distribution of goods and service are conducted in an inefficient manner.

In the case illustrated in the question, the form of market failure that is taking place occurs in the nature of the exchange, which is due to bounded rationality. It is defined as condition commonly occurring in individuals where decision-making is based on making a satisfactory solution instead of an optimal one – this leads to irrational behaviors. A good example is the tipping behavior provided in the question.

Thus, the answer to the question is (D) Yes this could be considered a form of market failure. If consumers and markets were rational tips would be based on the quality of service.

3 0
4 years ago
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