Problema Solution

The formula A=p(1+t)^2, is used to find the amount of money, A, in an account after P dollars have been invested in the account paying an annual interest rate, r, for 2 years. Find the rate if 500 grows to 1125 in 2 years.

Answer provided by our tutors

r = the annual rate as a decimal


P = $500


A = $1,125


t = 2 years


A = P(1 + r)^t


1125 = 500(1 + r)^2


500(1 + r)^2 = 1125


by solving we find:


r = 0.5 or 50%


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the annual rate is 50%.