SOLUTION: How long will it take ​$4,000 to grow to ​$23,000 if it is invested at ​7% compounded​ monthly? Homework question from Hans Beauvoir

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Question 1177041: How long will it take ​$4,000 to grow to ​$23,000 if it is invested at ​7% compounded​ monthly?


Homework question from Hans Beauvoir

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
How long will it take ​$4,000 to grow to ​$23,000 if it is invested at ​7% compounded​ monthly?
:
The compound interest formula: , where
A = resulting amt after t time (23000)
P = initial amt (4000)
r = annual interest rate in decimal form (.07)
n = no. of compounding period per yr (12)
t = no. yrs
:



using logs
12t*log(1.005833) = log(5.76)
12t =
12t = 301
t =
t ~ 25 yrs 1 month

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