3.9k views
5 votes
a person invest $1,700 in an account that earns 3.97% annual interest. find when the value of the investment reaches $3,200

User Dgel
by
8.5k points

1 Answer

2 votes

Answer:

16 1/4 years

Explanation:

Assuming interest is compounded annually, the account balance (A) after t years will be ...

A = P(1 +r)^t

3200 = 1700·1.0397^t

log(3200) = log(1700) +t·log(1.0397)

t = (log(3200) -log(1700))/log(1.0397) ≈ 16.247

The account will reach a balance of $3200 after about 16 1/4 years.

___

You may be asked to round your answer to the nearest integer or tenth. We leave that exercise to the student.

User Sherree
by
8.3k points

No related questions found