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
You know how decimals are really long to write, like 0.00000000089? Well, with scientific notation, you can shorten them. Take the decimal I wrote for instance. Using scientific notation, I can change it to 8.9 * 10^-10. The decimal is shortened, and according to the exponent, 10^-10, we move the decimal place for 8.9 to the left ten places, leaving us with 0.00000000089.
Answer:
the answer would have to be -7
Step-by-step explanation:
second terms:
ar=3/2
forth term
ar^3=3/8
combine two equation:
r^2=1/4
r= +1/2 or -1/2
a=3 or -3
Answer: Not sure if this is 100% correct, but it should be.
Step-by-step explanation:
