Answer:
Step-by-step explanation:
<u>Key skills: Exponents + Fractions</u>
Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y
3^-4 is the same as
3^4 is 81, so your answer would be 1/81.
Hope you have a nice day and understood this!
Solution:
Given :
.............(1)
where, B = aP = birth rate
D = = death rate
Now initial population at t = 0, we have
= 220 ,
= 9 ,
= 15
Now equation (1) can be written as :
.................(2)
Now this equation is similar to the logistic differential equation which is ,
where M = limiting population / carrying capacity
This gives us M = a/b
Now we can find the value of a and b at t=0 and substitute for M
and
So,
=
= 132
Now from equation (2), we get the constants
k = b =
=
The population P(t) from logistic equation is calculated by :
As per question, P(t) = 110% of M
Now taking natural logs on both the sides we get
t = 36.216
Number of months = 36.216