SOLUTION: The size P of a small herbivore population at time t (in years) obeys the function P(t) = 700e^0.24t if they have enough food and the predator population stays constant. After how

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The size P of a small herbivore population at time t (in years) obeys the function P(t) = 700e^0.24t if they have enough food and the predator population stays constant. After how      Log On


   



Question 927487: The size P of a small herbivore population at time t (in years) obeys the function P(t) = 700e^0.24t if they have enough food and the predator population stays constant. After how many years will the population reach 3,500?
P(t) = 700e^0.24

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
P(t) = 700e^0.24t
ln(3500/700) = .24t
ln(5)/.24 = t = 6.706 years