Problema Solution

Rigoberto invests $8,000, at 6% interest, compounded semiannually for 1 year. Use the compound interest formula to calculate the compound interest for his investment

Answer provided by our tutors

P = $8,000 is the principal value;

r = 0.06 or 6% interest rate;

m = 2 is the number of compounding periods per year;

t = 1 year;

i = r/m = 0.06/2 = 0.03 is the interest rate per period;

n = mt = 2*1 = 2 is the number of compounding periods;

A = is the future value;


A = P(1 + i)^n


A = 8000(1 + 0.03)^2


A = $8487.2


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the interest is 8487.2 - 8000 = $487.2.