algebra

A parent raises a child's allowance by 12% each year. If the allowance is $3.50 now, when will it reach $18?

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  1. 18 = 3.5(1.12)^n
    5.142857 = 1.12^n
    take log of both sides and use log rules....

    n = log 5.142857/log 1.12 = 14.45

    so after 14 years the allowance will be below $18
    but after 15 years it will be over $18

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