SOLUTION: steve wants 90,000 in savings by the time his baby is 18. bank offers savings account 6.5% interest compounded weekly. how much money does he need to invest now to reach his goal?

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Question 851521: steve wants 90,000 in savings by the time his baby is 18. bank offers savings account 6.5% interest compounded weekly. how much money does he need to invest now to reach his goal?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The interest rate per week is 6.5%2F52=0.125 %. The specific growth model is highlight_green%2890000=p%2A1.00125%5E%2852t%29%29 and t is time in years. The calculation being done here next assumes that the baby is newborn, less than one week old.

Know that if y is years, then y%2Ayears%2852%2Aweeks%2Fyear%29=numberWeeks;
t/52=y, and t=52y

90000%2F%281.00125%29%5E%2852t%29=p
substituting for t=18,
p=90000%2F%281.00125%29%5E%2852%2A18%29
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Using a calculator instead of any table of logarithms,highlight%28p=27953%29.