Question 1124736
f = p * (1 + r) ^ n


f = 32 thousand
p = 25 thousand
n = 3 years
r is what you want to find.


equation becomes 32 = 25 * (1 + r) ^ 3


divide both sides of this equation by 25 to get 32 / 25 = (1 + r) ^ 3


take the cube root of both sides of this equation to get (32 / 25) ^ (1/3) = 1 + r


suvbtract 1 from both sides of this equation to get (32 / 25) ^ (1/3) - 1 = r


solve for r to get r = .085767045.


the annual interest rate is 8.5767045%.