SOLUTION: The population p of a small town in t years from now is predicted to be p(t)=35000 + 10000/(t+2)^3. In your own method estimate the population of the town in the long run.

Algebra ->  Sequences-and-series -> SOLUTION: The population p of a small town in t years from now is predicted to be p(t)=35000 + 10000/(t+2)^3. In your own method estimate the population of the town in the long run.       Log On


   

Question 1163020: The population p of a small town in t years from now is predicted to be p(t)=35000 + 10000/(t+2)^3. In your own method estimate the population of the town in the long run.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


"In the long run" means as the number of years from now, t, becomes very large.

As t becomes very large, the value of the expression 10000%2F%28t%2B2%29%5E3 goes to zero.

So in the long run the population of the town will be 35,000+0 = 35,000.