Problema Solution

Jason’s savings account has a balance of $734. After 5 years, what will the amount of interest be at 10% compounded semiannually?

Answer provided by our tutors

The amount A after t years with a principal P and a per annum interest rate r, compounded n times per year is:


A = P (1 + (r/n))^ (n*t)


In our case we have


P = $734

t = 5 years

r = 10% = 0.1

n = 12/6 = 2 times per year (since amount of interest is compounded semiannually)


A = 734 * (1 + (0.1/2))^(2*5)


A = $ 1,195.61 approximately