Arrange tho following in ascending order: 2/9, 1/3, 5/12, 1/6
2 answers:
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Correct answer is 33.1 m.
Use The definition of trigonometric functions. The sine of an angle is the quotient of the opposite side and hypotenuse.
Use The definition of trigonometric functions. The sine of an angle is the quotient of the opposite side and hypotenuse.
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