SOLUTION: The population growth of a certain city with a current population of 27345 is modeled by the equation P=27345e^005t where P is the population of the city after t years and .005 is

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The population growth of a certain city with a current population of 27345 is modeled by the equation P=27345e^005t where P is the population of the city after t years and .005 is       Log On


   

Question 59745: The population growth of a certain city with a current population of 27345 is modeled by the equation P=27345e^005t where P is the population of the city after t years and .005 is the rate of growth. Write each of the following questions in complete sentences.
a. According to the equation, what will the population of the city be 10 years from now?
b. According to the equation, when will the city's population reach 32000?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
+P=27345%2Ae%5E%28.005t%29
P+=+27345%2Ae%5E%28.05%29
my calculator says e%5E%28.05%29+=+1.05127
P+=+27345%2A1.05127
P+=+28747 answer
(b)
+P=27345e%5E%28.005t%29
32000+=+27345%2Ae%5E%28.005t%29
32000+%2F+27345+=+e%5E%28.005t%29
ln%281.17023%29+=+ln%28e%5E%28.005t%29%29
.15721+=+.005t
t+=+.15721+%2F+.005
t+=+31.44
It will take 31.44 years for population to reach 32000