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At 5.5 percent interest, how long does it take to quadruple it?

 Jan 29, 2017
 #1
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25.89 years.

 

Solution

(Capital sum)    X   (1.055)^x          =  4 X (Capital sum)

(1.055)^x                                          =  4

take logs of both sides

x ln(1.055)                                          =ln4

x                                                         = ln(4)   /   ln (1.055)      

                                                            = 25.89

 Jan 29, 2017
 #2
avatar+37093 
+5

At a simple interest rate of 5.5%

4 = (1.055)^n

 

n=25.89 years

 Jan 29, 2017

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