maths

a sum of money doubles in 20 years on simple interest. it will triple at the same rate in ?

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asked by arshi
  1. 2=1(1+i)^20
    take the log of each side
    log2=20(log(1+i)
    log(1+i)=log2/20=.01505
    now take the antilog
    1+i=10^(.01505)=1.03526
    so i=3.526 percent

    triple?
    3=(1.03526)^t
    take the log of each side
    log3=t*log(1.03526)
    t= log3/log(1.03526)= .4771 /.01505
    almost 32 years

    check that

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    posted by zafar

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