Solution - Compound interest (basic)

77762.25

77762.25

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 15, 841$ , $r = 15 %$ , $n = 2$ , $t = 11$ .

Compute period rate and exponent: $\frac{r}{n} = 0.075$ , $n t = 22$ , so the growth factor is $4.9089229277$ .

Multiply principal by growth factor: $15, 841$ × $4.9089229277$ = $77762.25$ .

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