Answer:
This will happen in 39 years.
Explanation:
The population of the birds varies as A = A.e^kt
The population of birds fell from 1400 from 1000
Time it will take for the population to fall below 100 = x years.
when t = 0, population = 1400
t= 3; Population = 1000
Therefore:
1400 = 1000e^5k
e^5k= 1400/1000
k= (In 1.4)/5
we need to find x, such that
1400/1000= (e^xk)
14=(e^xk)
In(14) =kx
x= 5In(14)/In(1.4)
x= 39 years
