The domain ...the answer is B
Maya will receive a change of $23.54
Step-by-step explanation:
Given,
Cost of shoes = $42
Sale = 40%
Amount of sale = ![\frac{40}{100}*42](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%2A42)
Amount of sale = ![\frac{1680}{100}=\$16.80](https://tex.z-dn.net/?f=%5Cfrac%7B1680%7D%7B100%7D%3D%5C%2416.80)
Price after sale = Cost of shoes - Amount of sale
Price after sale = 42 - 16.80 = $25.20
Sales tax = 5%
Amount of sales tax = 5% of price after sale
Amount of sales tax = ![\frac{5}{100}*25.20=\frac{126}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B100%7D%2A25.20%3D%5Cfrac%7B126%7D%7B100%7D)
Amount of sales tax = $1.26
Final price = 25.20+1.26 = $26.46
Amount paid = $50
Change received = Amount paid - final bill
Change received = 50 - 26.46 = $23.54
Maya will receive a change of $23.54
Keywords: percentage, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
![\dfrac{-8}{\pi}](https://tex.z-dn.net/?f=%5Cdfrac%7B-8%7D%7B%5Cpi%7D)
Step-by-step explanation:
The rate of change of the function f(x) from point
to point
can be calculated using formula
![\dfrac{f(x_2)-f(x_1)}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D)
Given
![x_1=\pi\\ \\x_2=2\pi](https://tex.z-dn.net/?f=x_1%3D%5Cpi%5C%5C%20%5C%5Cx_2%3D2%5Cpi)
From the graph of the function
![f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4](https://tex.z-dn.net/?f=f%28x_1%29%3Df%28%5Cpi%29%3D4%5C%5C%20%5C%5Cf%28x_2%29%3Df%282%5Cpi%29%3D-4)
So, the rate of change is
![\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B-4-4%7D%7B2%5Cpi%20-%5Cpi%7D%3D%5Cdfrac%7B-8%7D%7B%5Cpi%7D)