Solution - Compound interest (basic)

9991.51

9991.51

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 7, 635$ , $r = 9 %$ , $n = 12$ , $t = 3$ .

Compute period rate and exponent: $\frac{r}{n} = 0.0075$ , $n t = 36$ , so the growth factor is $1.3086453709$ .

Multiply principal by growth factor: $7, 635$ × $1.3086453709$ = $9991.51$ .

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