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A. ( 425)/((1+frac (0.09){12))^24}

Question

a. ( 425)/((1+frac (0.09)(12))^24)

Solution

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Answer

The expression represents a present value calculation. It's determining the amount of money needed today to have 425:** The future value (the amount you want to have in two years).* **0.09:** The annual interest rate (9% expressed as a decimal).* **0.09/12:** The monthly interest rate (annual rate divided by 12 months).* **24:** The number of compounding periods (2 years * 12 months/year).* **(1 + 0.09/12)^24:** The future value factor. This calculates how much 425 / 1.196413529 ≈ \boxed{ . This means you would need to invest approximately 425 in two years at a 9% annual interest rate compounded monthly.