Solution - Compound interest (basic)

46005.03

46005.03

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 14, 164$ , $r = 15 %$ , $n = 4$ , $t = 8$ .

Compute period rate and exponent: $\frac{r}{n} = 0.0375$ , $n t = 32$ , so the growth factor is $3.248025067$ .

Multiply principal by growth factor: $14, 164$ × $3.248025067$ = $46005.03$ .

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