Question

If $2000 is invested at 6% compound interest per annum, find the value of the investment after four years

Answer 1

Using the formula for the compound interest, we have:

$\begin{gathered} A=P(1+i)^n\text{ (A: amount, P:principal, i:interest, n:years}) \\ A=2000(1+0.06)^4\text{ (Replacing the values)} \\ A=2000(1.06)^4\text{ (Adding)} \\ A=2000\text{ (1.26) (Raising 1.06 to the power of 4)} \\ A=2524.95\text{ (Multiplying)} \\ \text{The answer is \ 2524.95} \end{gathered}$