i = 2% per semi annual period
Let n be total no. of semiannual period in which amount doubles
Then F= 2*P
2P = P*(1+0.02)^n
1.02^n = 2
Taking log both sides
n = log 2 / log 1.02
n = 35.0027 semiannual periods
No of years = 35.0027 / 2 = 17.50 yrs
Problem 330: A sum of money invested at 2000 per 6 month period will double is...
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