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
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a. 2008
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Question 1090731: 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) (Show Source):
You can put this solution on YOUR website! p(n)=36.5(1.06)^n
70=36.5(1.06)^n
1.918=(1.06)^n
ln 1.918=ln (1.06)^n=n ln (1.06)
ln 1.918/ln 1.06=n
n=11.177195 years since 2000, or the year 2011
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