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17 April, 05:27

Justin Beiber wants to save enough money to make a down payment on a new home. He decided to put $10,000 into a savings account at the end of each of the next ten years. If he earns 4% compound interest, how much money will he have at the end of the ten years

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  1. 17 April, 07:19
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    Justin Beiber would have in the savings account $14,802.44 at the end of the ten years

    Explanation:

    The amount that Justin Beiber would have at end of ten years with interest rate of 4% can be determined using the future value provided below:

    FV=PV * (1+r) ^n

    PV is the amount deposited into the savings account today i. e $10,000

    r is the rate on the deposit at 4%

    n is the number of years the savings would last which is 10 years

    FV=$10,000 * (1+4%) ^10

    FV=$10,000 * (1+0.04) ^10

    FV=$10,000 * (1.04) ^10

    FV=$10,000*1.480244285

    FV=$14,802.44

    The dollar interest = $14,802.44-$10,000.00=$4,802.44
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