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9 January, 08:48

Mary Seitz invested a certain amount of money in a savings account paying 5% simple interest per year. When she withdrew her money at the end of 3 years, she received $300 in interest. How much money did Mary place in the savings account?

Mary Seitz invested $ blank in the savings account.

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  1. 9 January, 08:59
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    Mary Seitz invested $ 2,000 in the savings account.

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Interest rate = 5% simple = 0.05

    Time of the investment = 3 years

    Amount of interest = $ 300

    2. How much money did Mary place in the savings account?

    Let's recall the formula of the simple interest:

    A = P * (1 + rt), where:

    A = Final value of the investment

    P = Initial investment

    r = Interest rate

    t = Time

    Replacing with the values we know:

    A = P * (1 + 0.05 * 3)

    A = P * (1 + 0.15)

    P + 300 = 1.15P (A = P + 300)

    P - 1.15P = - 300

    -0.15P = - 300

    P = - 300/-0.15

    P = 2,000

    Mary Seitz invested $ 2,000 in the savings account.
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