Problema Solution

Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years.

Answer provided by our tutors

P = $2,410 the principal


r = 0.12 or 12% interest


m = 12 compounding period per year (compounded monthly)


i = 0.12/12 = 0.01 interest rate per period


t = 3 years


n = t*m = 3*12 = 36 total number of compounding periods


A = future value


A = P(1 + i)^n


A = 2410(1 + 0.01)^36


by solving we find:


A = $3,448.15


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At the end of 3 years Tom will have $3,448.15 in the bank.