Question

Dan deposited
$4000
into an account with
4.8%
interest, compounded monthly. Assuming that no withdrawals are made, how much will he have in the account after
9
years?

I was just wondering of the formula for this problem, because I am not able to find it in my book.

Answer 1

4000(1 + .048/12)^(12*9)

I'm sure your book has the formula

A(1+r)^t

you have to adjust it if the rate is compounded more than once per year. If monthly, then n=12 times per year. Thus, the monthly interest is 1/12 the annual rate, and there are 12 times as many compounding periods:

A(1 + r/n)^(n*t)