SOLUTION: How long does it take money to quadruple if it is invested at 10% compounded continously?

Question 379322: How long does it take money to quadruple if it is invested at 10% compounded continously?
Found 2 solutions by robertb, mananth:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
, then
.
Taking ln of both sides, ln4 = 0.10t, or t = ln4/0.10 = 13.86 years.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
How long does it take money to quadruple if it is invested at 10% compounded continously?
...
assume the principal p = 100
Amount at end of term = 400
rate = 10%
number of years = n
compound period = continuous
...
n = log(A/P)/(q log[1+(i/q)])
n= log(400/100)/(365*log(1+0.1/365))
n=log 4/(365*log (1+0.1/365))
n= 13.68 years to quadruple

...
m.ananth@hotmail.ca
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