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3 June, 13:25

Assume that the amount of money deposited in a bank is proportional to the square of the interest rate the bank pays on this money. Furthermore, the bank can reinvest this money at 12%. Find the interest rate the bank should pay to maximize profit. (Use the simple interest formula.)

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  1. 3 June, 16:54
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    8% interest.

    Explanation:

    P = 0.12m - im

    m = kr²

    P = 0.12kr² - rkr²

    kr² = 0.08kr

    r = 0.08
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