Deposits of P are placed into a fund at the end of each year for 10 years. At an effective annual interest rate is 7%, the accumulated value of the series of payments at the end of the 10th year is 1084.31. Find P. a. 73.35 b. 78.48 c. 93.88 d. 88.61 e. 88.75

Answers

Answer 1

The answer is (b) 78.48.

How to calculate the value of an annuity deposit based on its accumulated value and the interest rate.?

We can use the formula for the future value of an annuity to solve this problem:

FV =[tex]P * (\frac{(1 + r)^{n - 1}} { r})[/tex]

where:

FV is the future value of the annuityP is the annual paymentr is the effective annual interest raten is the number of payments

In this case, we know that:

FV = 1084.31

r = 7% = 0.07

n = 10

Substituting these values into the formula, we get:

1084.31 = P * [tex](\frac{(1 + 0.07)^{10 - 1)} }{ 0.07})[/tex]

Solving for P, we get:

P = 1084.31 * [tex](\frac{0.07 } {((1 + 0.07)^{10 - 1}})[/tex] ≈ 78.48

Therefore, the answer is (b) 78.48.

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Related Questions

___________ occurs when a supervisor earns less than his or her subordinates
a) Role conflict
b) Role ambiguity
c) status incongruence
d) informal status

Answers

The "status incongruence" occurs when a supervisor earns less than his or her subordinates. The correct option is C.

Status incongruence is a term used to describe a situation where an individual's position or rank within a social hierarchy is incongruent or inconsistent with their income, power or prestige.

In the workplace, the supervisor earns less than subordinates, that can lead to low job satisfaction, low morale, and decreased productivity. There are several supervisor role like counselor, director, and sponsor.

Therefore, the correct option is C, which is status incongruence.

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the future value of an ordinary annuity table is used when calculating multiple choice question. the present value of a series of payments. the present value of a single amount. the future value of a series of payments.

Answers

The future value of an ordinary annuity table is a tool used to calculate the future value of a series of payments made at the end of each period over a certain number of periods.

This table helps individuals determine the amount they will have in the future based on their current investment or savings plan. By using the table, investors can estimate the value of their investment at the end of the investment period, assuming they make regular, equal payments.

The table is also useful in calculating the present value of a series of payments. By taking the future value of these payments and discounting it back to the present, individuals can determine the amount they would need to invest today to achieve their desired future value. This is known as the present value of an ordinary annuity.

The present value of a single amount is also important to consider when investing. This refers to the value of a lump sum payment today that will grow over time, assuming a certain rate of return. By understanding the present value of a single amount, investors can better determine how much they need to invest to reach their financial goals.

In summary, the future value of an ordinary annuity table is a valuable tool for investors to determine the future value of their investments and savings plans. It can also be used to calculate the present value of a series of payments and a single lump sum payment.

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