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14 January, 08:39

During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?

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  1. 14 January, 08:42
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    Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

    Step-by-step explanation:

    1. Let's review the data given to us for solving the question:

    Investment of Sara during her 1st year of college = US$ 2,000

    Duration of the investment = 4 years

    Annual interest rate = 3%

    2. Let's find the future value of this investment after 4 years, using the following formula:

    FV = PV * (1 + r) ⁿ

    PV = Investment of Sara during her 1st year of college = US$ 2,000

    number of periods (n) = 4

    rate (r) = 3% = 0.03

    Replacing with the real values, we have:

    FV = 2,000 * (1 + 0.03) ⁴

    FV = 2,000 * (1.03) ⁴

    FV = 2,000 * 1.12550881

    FV = 2,251.02

    Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.
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