SOLUTION: Help with this exponential growth problem? The size of a bacterial culture grows in such a way that after t minutes, there are P(t)=A x 2^(0.003)(t) bacteria present, for some c

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Help with this exponential growth problem? The size of a bacterial culture grows in such a way that after t minutes, there are P(t)=A x 2^(0.003)(t) bacteria present, for some c      Log On


   



Question 916354: Help with this exponential growth problem?
The size of a bacterial culture grows in such a way that after t minutes, there are P(t)=A x 2^(0.003)(t) bacteria present, for some constant A. After 10 minutes, there are 30,000 bacteria.
What is A?
Thank you for any help!

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Solve symbolically for A and then substitute the given values.

A=P%28t%29%2F%282%5E%280.003t%29%29

A=30000%2F%282%5E%280.003%2A10%29%29

A=30000%2F%282%5E%280.03%29%29

A=29300