SOLUTION: how long will it take for ​$4300 to grow to ​$28600 at an interest rate of 3% if the interest is compounded​ continuously? Round the number of years to the neares

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: how long will it take for ​$4300 to grow to ​$28600 at an interest rate of 3% if the interest is compounded​ continuously? Round the number of years to the neares      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1043135: how long will it take for ​$4300 to grow to ​$28600 at an interest rate of 3% if the interest is compounded​ continuously? Round the number of years to the nearest hundredth. thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how long will it take for ​$4300 to grow to ​$28600 at an interest rate of 3% if the interest is compounded​ continuously? Round the number of years to the nearest hundredth.
A(t) = P*e^(r*t)
--------
28600 = 4300*e^(0.03*t)
-------
e^(0.03t) = 6.6512
0.03t = ln(6.6512)
t = 1.8948/0.03
t = 63.16 years
----------------
Cheers,
Stan H.
--------------