Problema Solution

val Hooper deposited $11,600 in the bank on January 1 a few years ago. The bank pays an interest rate of 10% compounded annually, and the deposit is now worth $30,052. For how many years has the deposit been invested?

Answer provided by our tutors

P = $11,600 the principle

i = 10% or 0.10

t = years

A = $30,052 the future value


A = P(1 + i)^t


30052 = 11600(1 + 0.10)^t


1.1^t = 30052/11600


by solving we find


t = 9.99 years


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the deposit was invested for 9.99 years.