SOLUTION: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the: (a) Annual growth rate (b) Continuous growth rate Round your answers to 3

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the: (a) Annual growth rate (b) Continuous growth rate Round your answers to 3      Log On

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Question 166764: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the:
(a) Annual growth rate
(b) Continuous growth rate
Round your answers to 3 decimal places.
(a) The annual growth rate is X %.
(b) The continuous growth rate is X%. PLEASE!!!
Answer by josmiceli(6769) About Me  (Show Source):
You can put this solution on YOUR website!
I think I can get you started
The equation would look like
P+=+11a%5Et
where P is the present population in
thousands of years
and t= years since P+=+11thousand
11+=+11a%5E0
15+=+11a%5E5
a%5E5+=+15%2F11
5%2Alog%28a%29+=+log%2815%2F11%29
log%28a%29+=+log%2815%2F11%29+%2F+5
Now find a