Solution - Compound interest (basic)

9818.70

9818.70

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 8, 538$ , $r = 15 %$ , $n = 1$ , $t = 1$ .

Compute period rate and exponent: $\frac{r}{n} = 0.15$ , $n t = 1$ , so the growth factor is $1.15$ .

Multiply principal by growth factor: $8, 538$ × $1.15$ = $9818.70$ .

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