# 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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