Answer:
Your answer would be c
Step-by-step explanation:
anytime you do percentages you devide that number by 100
Answer: c) 19,807
<u>Step-by-step explanation:</u>
![A=A_o\cdot e^{kt}\\\\\bullet A_o\text{ is the initial population}\\\bullet \text{k is the rate of decrease}\\\bullet \text{t is the number of years after 2010}\\\\A=22,000\cdot e{(-0.021)(5)}\\.\ =22,000\cdot e^{-0.105}\\.\ =19,807](https://tex.z-dn.net/?f=A%3DA_o%5Ccdot%20e%5E%7Bkt%7D%5C%5C%5C%5C%5Cbullet%20A_o%5Ctext%7B%20is%20the%20initial%20population%7D%5C%5C%5Cbullet%20%5Ctext%7Bk%20is%20the%20rate%20of%20decrease%7D%5C%5C%5Cbullet%20%5Ctext%7Bt%20is%20the%20number%20of%20years%20after%202010%7D%5C%5C%5C%5CA%3D22%2C000%5Ccdot%20e%7B%28-0.021%29%285%29%7D%5C%5C.%5C%20%3D22%2C000%5Ccdot%20e%5E%7B-0.105%7D%5C%5C.%5C%20%3D19%2C807)
We want to solve
![\frac{x}{2x+1} - \frac{1}{4} = \frac{2}{2x+1}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2x%2B1%7D%20-%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B2%7D%7B2x%2B1%7D%20)
Subtract 2/(2x+1) from each side.
![\frac{x}{2x+1} - \frac{2}{2x+1y} - \frac{1}{4} = 0](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2x%2B1%7D%20-%20%5Cfrac%7B2%7D%7B2x%2B1y%7D%20-%20%5Cfrac%7B1%7D%7B4%7D%20%3D%200)
Add 1/4 to each side, and simplify the left side.
![\frac{x-2}{2x+1} = \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx-2%7D%7B2x%2B1%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20)
Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1
Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2 or x = 4 1/2.
Answer: