Problema Solution

what is the future value of 500$ per year for 10 years compounded annually at 5%.

Answer provided by our tutors

let


P = $500 is the principal


t = 10 years the number of years


m = 1 the number of compounding periods per year


n = m*t = 10*1 = 10 the number of compounding periods


r= 0.05 the annual interest rate as a decimal


A = the future value


A = P(1 + r)^n


A = 500(1 + 0.05)^10


by solving we find:


A = $814.45


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after 10 years the future value will be $814.45.