Solution - Compound interest (basic)

7783.18

7783.18

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 3, 868$ , $r = 6 %$ , $n = 1$ , $t = 12$ .

Compute period rate and exponent: $\frac{r}{n} = 0.06$ , $n t = 12$ , so the growth factor is $2.0121964718$ .

Multiply principal by growth factor: $3, 868$ × $2.0121964718$ = $7783.18$ .

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