SOLUTION: Hey everyone i need help with this question i don't know where to even begin.If you guys can please explain it to me in steps that would be great, thank you The population of a

Algebra ->  Finance -> SOLUTION: Hey everyone i need help with this question i don't know where to even begin.If you guys can please explain it to me in steps that would be great, thank you The population of a       Log On


   



Question 926648: Hey everyone i need help with this question i don't know where to even begin.If you guys can please explain it to me in steps that would be great, thank you
The population of a city is modeled with the function P(x)=45,000(1.035)^x of years since 2010.
Use the rule of 70 to estimate the doubling time for the population of this city.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The population of a city is modeled with the function P(x)=45,000(1.035)^x of years since 2010.
Use the rule of 70 to estimate the doubling time for the population of this city.
------------------------------
2*45000 = 45000(1.035)^x
=========
2 = 1.035^x
----
x*log(1.035) = log(2)
----
x = 20.15 years
------------------
Cheers,
Stan H.
---------------