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
Algebra.Com
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
☺☺☺☺
RELATED QUESTIONS
The growth in population of a town since 2000 is given, in thousands, by the function... (answered by jorel1380)
The population of a town increased by 2.63% per year from 2000 to 2010. The town's... (answered by Boreal)
The population of a town increased by 2.72% per year from 2000 to 2010. The town's... (answered by josmiceli)
Suppose that the population of a town is given by P = 0.16t^2 + 7.2t +100 where P is the... (answered by htmentor,Solver92311)
A. In 2000, the population of a country was approximately 5.85 million and by 2015 it is... (answered by josgarithmetic)
The population of a certain species of fish has a relative growth rate of 1.2% per year.... (answered by stanbon)
In the formula N = Pekt, N is the number of items in terms of an initial population P at... (answered by jsmallt9)
In 2000, the population of Israel was approximately 6.04 million and by 2050 it is... (answered by stanbon)
The population of a town is modelled by the function P=6t^2+110t+4000
Where P is the... (answered by josgarithmetic,saw)