SOLUTION: a population grows exponentially and doubles in size every 10 years. using P=Poe^kt, where Po represents the population at t=0, find the value of k.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: a population grows exponentially and doubles in size every 10 years. using P=Poe^kt, where Po represents the population at t=0, find the value of k.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 491897: a population grows exponentially and doubles in size every 10 years. using P=Poe^kt, where Po represents the population at t=0, find the value of k.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a population grows exponentially and doubles in size every 10 years. using P=Poe^kt, where Po represents the population at t=0, find the value of k
**
P=Poe^kt
P/Po=2=e^kt=e^10k
take ln of both sides
ln2=10klne
log of base=1
k=ln2/10=.0693