SOLUTION: The population P of a certain city t years from now is given by P=20,000e^0.05t How many years from now will the population be 50,000?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The population P of a certain city t years from now is given by P=20,000e^0.05t How many years from now will the population be 50,000?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 602229: The population P of a certain city t years from now is given by
P=20,000e^0.05t
How many years from now will the population be 50,000?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The population P of a certain city t years from now is given by
P=20,000e^0.05t
How many years from now will the population be 50,000?
.
simply substitute 50000 for p and solve for t:
P=20,000e^0.05t
50000=20000e^0.05t
50000/20000=e^0.05t
5/2=e^0.05t
2.5=e^0.05t
ln(2.5)=0.05t
ln(2.5)/0.05=t
18.33 years = t