Trent is 25 years old and works for a company that matches his 401 (k) contribution up to 5%. the interest rate for his 401 (k) is 7.3%. if he puts away 10% of his $32,000 salary every year, how much would he have saved in 10 years? round your answer to the nearest cent.

a. $67,266.16

b. $72,176.59

c. $33,250.60

d. $35,677.89

Question

Mathematics

Eleanor Mclaughlin

25 August, 02:37

Trent is 25 years old and works for a company that matches his 401 (k) contribution up to 5%. the interest rate for his 401 (k) is 7.3%. if he puts away 10% of his $32,000 salary every year, how much would he have saved in 10 years? round your answer to the nearest cent.

a. $67,266.16

b. $72,176.59

c. $33,250.60

d. $35,677.89

+5

Answers (1)

Know the Answer?

Kyan Townsend · Answer 1

How much would he have saved in 10 years?-By answering the question, you are trying to find out the future value. (Fv)

Trent puts away 10% of his $32,000 (each year) while the company will provide the half which costs $1,600 = providing an amount of $4800 each year.

Fv = Future Value

Pmt = repeated payments

R = interest rate

N = number of payment periods (total)

--

Formula:

Fv = Pmt (1 + r/n) ^ (nt) - 1 / (r/n)

Solution:

Fv = 4800 (1 + 0.073/1) ^ (1x10) - 1 (0.073/1)

Fv = $67,266.16

Answer: Letter A