SOLUTION: The size P of a certain insect population at time...t...(in days) obeys the function P (t)=400e^0.08t A. Determine number of insects at t=0 days B what is growth rate of insect p

Algebra ->  Functions -> SOLUTION: The size P of a certain insect population at time...t...(in days) obeys the function P (t)=400e^0.08t A. Determine number of insects at t=0 days B what is growth rate of insect p      Log On


   

Question 984991: The size P of a certain insect population at time...t...(in days) obeys the function P (t)=400e^0.08t
A. Determine number of insects at t=0 days
B what is growth rate of insect population. _%
C what is population after 10 days
D when will insect population reach 480
E when will insect population double
Thank you. I appreciate you help.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
p=400%2Ae%5E%280%29 for initial population, time 0 days.
p=400


10 days,
p=400%2Ae%5E%280.08%2A10%29
p=400e%5E%280.8%29
p=400%2A2.2255
p=890


Growth Rate looks like 0.08 percent, according to the equation model.


When reach 480 and when reach double of 400?
ln%28p%29=ln%28400%2Ae%5E%280.08t%29%29
ln%28p%29=ln%28400%29%2B0.08t%2Aln%28e%29
ln%28p%29-ln%28400%29=0.08t
highlight%28t=%281%2F0.08%29%28ln%28p%2F400%29%29%29------Use this.