8% or 8 cents per dollar.
To find the answer, just divide the extra 32 cents charged by the 4 dollars spent to find the amount per dollar, and you should get 8, or 8% tax.
Using a table and graph to find slope:
Take two sets of points, and use the formula
![y_2-y_1/x_2-x_1](https://tex.z-dn.net/?f=y_2-y_1%2Fx_2-x_1)
, where
y1= the y-coordinate of the first point
y2 = the y-coordinate of the second point
and
x1= the x-coordinate of the first points
x2= the x-coordinate of the second point.
If you want a walkthrough of how to use this formula, PM me and I'd be glad to help you as soon as I can :)
1. Distribute on both sides
22 - 2c - 4 = 3c + 12 + c
2. Simplify
18 - 2c = 4c + 12
3. Add like terms
18 = 6c + 12
6 = 6c
4. Solve for c by dividing
1 = c
A. 30
It is derived from 180
Answer:
![x = n\pi + ( { - 1)}^{n} \times \frac{3\pi}{2}](https://tex.z-dn.net/?f=x%20%3D%20n%5Cpi%20%2B%20%28%20%7B%20-%201%29%7D%5E%7Bn%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20)
Step-by-step explanation:
We want to find the x-intercepts of
![y = \sin(x) + 1](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csin%28x%29%20%20%2B%201)
At x-intercept, y=0.
![0 = \sin(x) + 1](https://tex.z-dn.net/?f=0%20%3D%20%20%5Csin%28x%29%20%20%2B%201)
![\sin(x) = - 1](https://tex.z-dn.net/?f=%20%5Csin%28x%29%20%20%3D%20%20-%201)
Take sine inverse of both sides to get:
![x = { \sin }^{ - 1} ( - 1)](https://tex.z-dn.net/?f=x%20%3D%20%20%7B%20%5Csin%20%7D%5E%7B%20-%201%7D%20%28%20-%201%29)
![x = n\pi + ( { - 1)}^{n} { \sin }^{ - 1} ( 1)](https://tex.z-dn.net/?f=x%20%3D%20n%5Cpi%20%2B%20%28%20%7B%20-%201%29%7D%5E%7Bn%7D%20%20%7B%20%5Csin%20%7D%5E%7B%20-%201%7D%20%28%20%201%29)
The x-intercepts are:
![x = n\pi + ( { - 1)}^{n} \times \frac{3\pi}{2}](https://tex.z-dn.net/?f=x%20%3D%20n%5Cpi%20%2B%20%28%20%7B%20-%201%29%7D%5E%7Bn%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20)
for n being an integer