Solution - Compound interest (basic)

46500.13

46500.13

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 12, 156$ , $r = 5 %$ , $n = 4$ , $t = 27$ .

Compute period rate and exponent: $\frac{r}{n} = 0.0125$ , $n t = 108$ , so the growth factor is $3.8252818844$ .

Multiply principal by growth factor: $12, 156$ × $3.8252818844$ = $46500.13$ .

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