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15000(1+(0.0325)/(12))^(12*20)

$15000\left(1+\frac{0.0325}{12}\right)^{12 \cdot 20}$

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Decimal numbers review

Full solution

Q.

15000\left(1+\frac{0.0325}{12}\right)^{12 \cdot 20}

Identify Formula: Identify the formula for compound interest which is $A = P(1 + r/n)^{(nt)}$ , where $P$ is the principal amount, $r$ is the annual interest rate, $n$ is the number of times interest is compounded per year, and $t$ is the time in years.
Plug Values: Plug in the values: $P = 15000$ , $r = 0.0325$ , $n = 12$ , and $t = 20$ into the formula.
Calculate Rate per Period: Calculate the rate per period by dividing the annual rate by the number of periods per year: $(0.0325)/(12)$ .
Calculate Base of Exponent: Calculate $(1 + (0.0325)/(12))$ to find the base of the exponent.
Raise to Power: Raise the base to the power of the total number of compounding periods: $12\times 20$ .
Multiply Principal: Multiply the principal amount by the result from the previous step to find the final value.
Perform Calculations: Perform the calculations: $15000\left(1+\frac{0.0325}{12}\right)^{12\times 20}.$

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