Solution - Compound interest (basic)

65955.05

65955.05

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 15, 878$ , $r = 9 %$ , $n = 4$ , $t = 16$ .

Compute period rate and exponent: $\frac{r}{n} = 0.0225$ , $n t = 64$ , so the growth factor is $4.1538639437$ .

Multiply principal by growth factor: $15, 878$ × $4.1538639437$ = $65955.05$ .

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Compound interest appears in savings, loans, and investments. Understanding it builds strong financial literacy.