7. Time to Double or Triple an investment The formula sbni od bilar In m t = Goianol of T n In 1 + | can 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 sigge rate of 5%? (c) Give a derivation of this formula.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 56SE: The annual percentage yield (APY) of an investmentaccount is a representation ofthe actual interest...
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7. Time to Double or Triple an investment The formula
hod bail
In m
n In( 1 + 2)
can 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.
Transcribed Image Text:brim 7. Time to Double or Triple an investment The formula hod bail In m n In( 1 + 2) can 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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