Solution - Compound interest (basic)

6491.04

6491.04

Step-by-step explanation

Use $A = P {(1 + r / n)}^{(n t)}$ with $P = 5, 777$ , $r = 6 %$ , $n = 1$ , $t = 2$ .

Compute period rate and exponent: $\frac{r}{n} = 0.06$ , $n t = 2$ , so the growth factor is $1.1236$ .

Multiply principal by growth factor: $5, 777$ × $1.1236$ = $6491.04$ .

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