Solution - Compound interest (basic)

14378.71

14378.71

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 8, 732$ , $r = 2 %$ , $n = 4$ , $t = 25$ .

Compute period rate and exponent: $\frac{r}{n} = 0.005$ , $n t = 100$ , so the growth factor is $1.6466684921$ .

Multiply principal by growth factor: $8, 732$ × $1.6466684921$ = $14378.71$ .

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