SOLUTION: how many years will it take $1,500 to grow up to $2,923 if it is invested at an annual rate of 7.5% continuously?

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: how many years will it take $1,500 to grow up to $2,923 if it is invested at an annual rate of 7.5% continuously?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 436709: how many years will it take $1,500 to grow up to $2,923 if it is invested at an annual rate of 7.5% continuously?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many years will it take $1,500 to grow up to $2,923 if it is invested at an annual rate of 7.5% continuously?
------------------------
A(t)=P*e^(rt)
2923 = 1500*e^(0.075t)
---
e^(0.075t) = 1.9487
Take the natural log of both sides:
0.075t = 0.6671
------------
t = 8.895 years
================
Cheers,
Stan H.
================