Solution - Compound interest (basic)

1138.76

1138.76

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 1, 004$ , $r = 13 %$ , $n = 2$ , $t = 1$ .

Compute period rate and exponent: $\frac{r}{n} = 0.065$ , $n t = 2$ , so the growth factor is $1.134225$ .

Multiply principal by growth factor: $1, 004$ × $1.134225$ = $1138.76$ .

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