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Evaluate. (Do Not Round Your Intermediate Calculations.Round Your Answer to 2 Decimal Places.) ( 870)/((1+frac (0.0975){2))^3} Square

Question

Evaluate. (Do not round your intermediate calculations.Round your answer to 2 decimal places.) ( 870)/((1+frac (0.0975)(2))^3) square

Solution

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Brianna Veteran · Tutor for 12 years

Answer

Here's how to evaluate the expression:1. **Calculate the interest rate per compounding period:** The annual interest rate is 0.0975, and it's compounded semi-annually (twice a year). So, the interest rate per period is 0.0975 / 2 = 0.048752. **Calculate the denominator:** The denominator is (1 + 0.04875)^3 = (1.04875)^3 ≈ 1.153393. **Divide to find the final value:** \boxed{754.26}$.