SOLUTION: The growth in population of a town since 2000 is given, in thousands, by the function p(n)=36.5(1.06)^n . In which year will the population expect to reach 70 000? a. 2008 c. 201

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The growth in population of a town since 2000 is given, in thousands, by the function p(n)=36.5(1.06)^n . In which year will the population expect to reach 70 000? a. 2008 c. 201      Log On


   



Question 1090681: The growth in population of a town since 2000 is given, in thousands, by the function p(n)=36.5(1.06)^n . In which year will the population expect to reach 70 000?
a. 2008 c. 2010
b. 2011 d. 2013

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
70=36.5(1.06)^n
1.9178=1.06^n
ln 1.9178=ln 1.06^n=n ln 1.06
n=11.175
2000+11.175=2011 as the year in which the population can be expected to reach 70000
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