Solution - Compound interest (basic)

77778.70

77778.70

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 23, 275$ , $r = 9 %$ , $n = 1$ , $t = 14$ .

Compute period rate and exponent: $\frac{r}{n} = 0.09$ , $n t = 14$ , so the growth factor is $3.3417270272$ .

Multiply principal by growth factor: $23, 275$ × $3.3417270272$ = $77778.70$ .

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