Answer:
36.6 years
Step-by-step explanation:
Here, we are to find the number of years it will take for the population of deers to reach 3,000
What to do here is simply substitute the value of 3,000 for P and use it to find t
3000 = 578e^0.045t
Divide through by 578
5.1903 = e^0.045t
Take the ln (natural logarithm of both sides)
Recall ln e = 1
ln 5.1903 = ln e^0.045t
ln 5.1903 = 0.045t
0.045t = 1.6468
t = 1.6468/0.045
t = 36.595 years which is 36.6 years
