43.7%
<span>
Difference = 115 - 87 = $0.38
Use 87 as the base because that's the price to start
38/87 = 0.43678</span>
The answer is 400 not 435 only the 4 is 400
We have been given an equation of circle
. We are asked to find the center and radius of the circle.
First of all, we will write equation of circle is standard form
, where center of circle is at point (h,k) and radius is r.
Let us complete the square for both x and y.
![x^2+2x+y^2-2y-14+14=0+14](https://tex.z-dn.net/?f=x%5E2%2B2x%2By%5E2-2y-14%2B14%3D0%2B14)
![x^2+2x+y^2-2y=14](https://tex.z-dn.net/?f=x%5E2%2B2x%2By%5E2-2y%3D14)
Adding half the square of coefficient of x and y term, we will get:
![(\frac{2}{2})^2=1^2=1](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B2%7D%29%5E2%3D1%5E2%3D1)
![(\frac{-2}{2})^2=(-1)^2=1](https://tex.z-dn.net/?f=%28%5Cfrac%7B-2%7D%7B2%7D%29%5E2%3D%28-1%29%5E2%3D1)
![x^2+2x+1+y^2-2y+1=14+1+1](https://tex.z-dn.net/?f=x%5E2%2B2x%2B1%2By%5E2-2y%2B1%3D14%2B1%2B1)
![(x+1)^2+(y-1)^2=16](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%2B%28y-1%29%5E2%3D16)
![(x-(-1))^2+(y-1)^2=4^2](https://tex.z-dn.net/?f=%28x-%28-1%29%29%5E2%2B%28y-1%29%5E2%3D4%5E2)
Therefore, the center of the circle is
and radius is 4 units.
Answer:
Step-by-step explanation:
The exponential growth equation that represents the rabbit population y) after x years is y = 500(1.25)ˣ
Exponential growth is given by:
y = abˣ
where a is the initial value of y, b is the multiplier and b>1, y, x are variables.
Let y represent the total rabbit population after x years.
Since there were 500, introduced hence a = 500. Also the population increases 25% each year, hence:
b = 100% + 25% = 1 + 0.25 = 1.25
y = 500(1.25)ˣ
The exponential growth equation becomes y = 500(1.25)ˣ