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For the three-part question that follows, provide your answer to each part in the given workspace. Identify...

For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A: Suppose you invest $1,500 in an account with an interest rate of 9% compounded annually. Calculate the total value of the investment after 1 year.
Part B: Show your work to support your answer to Part A.
Part C: You decide to keep the investment in the account for 5 years. Calculate the total amount of the investment after 5 years. Show your work.

Answer

Part A: The total value of the investment after 1 year is $1,635.

Part B: The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest. P is the principal amount ($1,500), r is the annual interest rate (9% or 0.09), n is the number of times that interest is compounded per year (1 for annually), and t is the time the money is invested for in years (1 year).
A = 1500(1 + 0.09/1)^(1*1) = 1500(1.09) = $1,635.

Part C: The total amount of the investment after 5 years is $2,310.50.

Show your work: Using the same formula, A = P(1 + r/n)^(nt), where P = $1,500, r = 0.09, n = 1, and t = 5.
A = 1500(1 + 0.09/1)^(1*5) = 1500(1.09)^5 = $2,310.50.

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