The formula can be used to find the number of years t required to multiply an investment

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The formula


imagecan be used to find the number of years t required to multiply an investment m times when r is the per annum interest rate compounded n times a year.(a) How many years will it take to double the value of an IRA that compounds annually at the rate of 6%?(b) How many years will it take to triple the value of a savings account that compounds quarterly at an annual rate of 5%?(c) Give a derivation of this formula.

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