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12 June, 00:57

From the yearbook receipts the students council deposited apart of the $1200 in a saving account receiving 9% interest per annum, and the rest in a chequing account receiving 4% per annum. If the total interest received for a year is $88, how much money was deposited in each accounts? 10marks

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  1. 12 June, 01:19
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    There was $800 deposited at 9% interest and $400 deposited at 4% interest.

    The formula for simple interest is I = prt. Using our information we have:

    88 = x (0.09) (1) + (1200-x) (0.04) (1)

    88 = 0.09x + 48 - 0.04x

    88 = 0.05x + 48

    Subtract 48 from both sides:

    88 - 48 = 0.05x + 48 - 48

    40 = 0.05x

    Divide both sides by 0.05:

    40/0.05 = 0.05x/0.05

    x = 800

    1200 - x = 400
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