Answer:
![P(t) = 608(1.5)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20608%281.5%29%5E%7Bt%7D)
Step-by-step explanation:
The number of parrots in t years after 2010 can be modeled by the following function:
![P(t) = P(0)(1+r)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%281%2Br%29%5E%7Bt%7D)
In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.
608 parrots in the forest in 2010.
This means that ![P(0) = 608](https://tex.z-dn.net/?f=P%280%29%20%3D%20608)
Then
![P(t) = 608(1+r)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20608%281%2Br%29%5E%7Bt%7D)
When the scientists went back 5 years later, they found 4617 parrots.
This means that ![P(5) = 4617](https://tex.z-dn.net/?f=P%285%29%20%3D%204617)
We use this to find 1 + r. So
![P(t) = 608(1+r)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20608%281%2Br%29%5E%7Bt%7D)
![4617 = 608(1+r)^{5}](https://tex.z-dn.net/?f=4617%20%3D%20608%281%2Br%29%5E%7B5%7D)
![(1+r)^{5} = \frac{4617}{608}](https://tex.z-dn.net/?f=%281%2Br%29%5E%7B5%7D%20%3D%20%5Cfrac%7B4617%7D%7B608%7D)
![1 + r = \sqrt[5]{\frac{4617}{608}}](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B4617%7D%7B608%7D%7D)
![1 + r = 1.5](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%201.5)
So
![P(t) = 608(1.5)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20608%281.5%29%5E%7Bt%7D)
So the volume of the cylinder = pi r^2 * h
Height = 4 feet tall
Radius = 1 foot
So just do pi * 1^2 * 4
3.14 x 1^2 x 4 = 12.56 cubic feet
Vertex is located over the center of the base of a regular pyramid.
<h3>
What is Vertex Angle?</h3>
Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.
Here, Vertex is the point which is located over the center of the base of a regular pyramid.
Learn more about Vertex angle from:
brainly.com/question/2028172
#SPJ1
I think the answer is r< 18
Answer:
0.1 x 2 = 0.2
Step-by-step explanation:
when you multiply, you move the decimal once because there is one decimal place.