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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BriannaVeteran · Tutor for 12 years
Answer
Here's how to evaluate the expression:<br /><br />1. **Calculate the interest rate per compounding period:**<br /> 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 = 0.04875<br /><br />2. **Calculate the denominator:**<br /> The denominator is (1 + 0.04875)^3 = (1.04875)^3 ≈ 1.15339<br /><br />3. **Divide to find the final value:**<br /> $870 / 1.15339 ≈ 754.26<br /><br />Therefore, the answer is $\boxed{754.26}$.<br />
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