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15 April, 09:58

Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that time. What will the balance be when she is finally able to withdraw her money?

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  1. 15 April, 12:58
    0
    Answer: The balance after 6 years will be $10638.90

    Step-by-step explanation:

    in year 0, she had $7,500, and the interest is 6% (or 0.06 in decimal form) per year.

    Then the amount of money in the bank can be described by the equation

    M (y) = $7500 * (1 + 0.06) ^y

    Where y is the number of years that passed. This equation says that the total amount of money increases by a factor of 1.06 each year.

    We know that she can withdraw after 6 years, so we have y = 6

    M (6) = $7500 * (0.06) ^6 = $10638.90

    The balance after 6 years will be $10638.90
  2. 15 April, 13:44
    0
    10,200 Dollars

    Step-by-step explanation:

    First, converting R percent to r a decimal

    r = R/100 = 6%/100 = 0.06 per year.

    Solving our equation:

    A = 7500 (1 + (0.06 * 6)) = 10200

    A = $10,200.00
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