Problema Solution

Find the accumulated amount A if the principal P = $11,000 is invested at the interest rate of r = 5% per year for t = 5.5 years, compounded quarterly.

Answer provided by our tutors

P = $11,000 the principal


t = 5.5 years


r = 0.05 or 5% annual rate


m = 4 compounding periods per year


i = 0.05/4 interest rate per period


n = 5.5*4 = 22 total number of compounding periods


A = future value


A = P(1 + i)^n


A = 11000(1 + 0.05/4)^22


A = $14,457.17


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after 5.5 years the accumulated amount will be $14,457.17.