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12 February, 13:06

Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year if it is compounded monthly versus no compounding? A) $0.10 B) $15.00 C) $1015.00 D) $1015.10

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  1. 12 February, 16:48
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    Assuming that 1.5% annual interest is converted to monthly basis with the same amount, then the monthly interest should be: 1.5%/12 = 0.125%.

    If you put $1000 for annual interest, the saving account would become: $1000 * (100%+1.5%) = $1015

    If you put $1000 for monthly interest, the saving account would become: ($1000 * (100%+0.125%) = $1000*1.0151035559 = $1015.10

    Then, the money difference should be: $1015.10-$1015 = $0.10
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