SOLUTION: How long will it take $3,000 to grow to $14,000 if it is invested at 5% compounded monthly? How many years?

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Question 1182420: How long will it take $3,000 to grow to $14,000 if it is invested at 5% compounded monthly?
How many years?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

Find number of years
Principal P = 3000
Amount= 14000
years=n
compounded (t) 12
Rate = 5 0.004166667
Amount = P*((n+r)/n)^n

14000 = 3000 *( 1 + 0.004166667 )^ n*t
4.666666667 = *( 1 + 0.004166667 )^ n* 12
log 4.666666667 = 12 n *log 1.004166667
1.540445041 = 12 0.00415801 *n
30.87 = n
30.87 years