Answer: what kinda math is this if i may ask?
Step-by-step explanation:
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
Answer:
The expression that gives the volume of the cylinder in cubic inches is
.
Step-by-step explanation:
The base of a cylinder is a circle, the area of that circle is given by the formula:
area = 
Multiplying by the height
we get that the volume of a cylinder is

where:
π = Pi
<em>r</em> = the radius of the circular end of the cylinder
<em>h = </em>height of the cylinder
We know that the cylinder has a height of <em>h</em> inches and a diameter of 3 inches.
The radius of a circle is half the diameter and the volume is:

I believe there is a picture of the situation missing, but we still have all the info necessary to solve.
We take the height, 5, and divide by the slope, 1/12, getting 60. This is the length of the ramp.
60 feet<span />