^{nt}

r = annual rate of interest (as a decimal)

t = number of years the amount is deposited or borrowed for.

A = amount of money accumulated after n years, including interest.

n = number of times the interest is compounded per year

^{nt}= [($32,000)(1 + (0.09)/(1)]

^{(1)(5)}= [($32,000)(1 + 0.09)]

^{5}=

**$49,235.97**

^{nt}= [($32,000)(1 + (0.09)/(2)]

^{(2)(5)}= [($32,000)(1 + 0.045)]

^{10}=

**$49,695.02**

^{nt}= [($32,000)(1 + (0.09)/(12)]

^{(12)(5)}=

**$50,101.79**

^{nt}= [($32,000)(1 + (0.09)/(365)]

^{(365)(5)}= [($32,000)(1 + 2.466 x 10

^{-4})]

^{1825}

**A = $50,183.21**

^{rt }= ($32,000)e

^{(0.09)(5)}= ($32,000)e

^{0.45}=

**$50,185.99**