Solution - Compound interest (basic)

270740.25

270740.25

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 20, 406$ , $r = 9 %$ , $n = 1$ , $t = 30$ .

Compute period rate and exponent: $\frac{r}{n} = 0.09$ , $n t = 30$ , so the growth factor is $13.2676784691$ .

Multiply principal by growth factor: $20, 406$ × $13.2676784691$ = $270740.25$ .

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