SOLUTION: The formula A= P e^rt describes the accumulation value A, of a sum of money P, the principal, after t years at annual percentage rate r (in decimal form) compounded continuously.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The formula A= P e^rt describes the accumulation value A, of a sum of money P, the principal, after t years at annual percentage rate r (in decimal form) compounded continuously.       Log On


   



Question 1104531: The formula A= P e^rt describes the accumulation value A, of a sum of money P, the principal, after t years at annual percentage rate r (in decimal form) compounded continuously.
Amount invested= $8500
Annual interest rate= 13%
Accumulated amount= Double the amount invested
What is the Time (t) in years?
(Round to one decimal place)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+P%2Ae%5E%28+r%2At+%29+
+P+=+8500+
+r+=+.13+
+A+=+2%2A8500+
-----------------------
+17000+=+8500%2Ae%5E%28+.13t+%29+
+2+=+e%5E%28+.13t+%29+
Take the natural log of both sides
+ln%282%29+=+.13t+
+.6931+=+.13t+
+t+=+5.332+
The time is 5.332 years