Solution - Compound interest (basic)

35467.18

35467.18

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 13, 865$ , $r = 11 %$ , $n = 1$ , $t = 9$ .

Compute period rate and exponent: $\frac{r}{n} = 0.11$ , $n t = 9$ , so the growth factor is $2.5580369244$ .

Multiply principal by growth factor: $13, 865$ × $2.5580369244$ = $35467.18$ .

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