1. Take away the parentheses. x+2x+40+3x-50=15002
2. Add the X’s together.
x+2x+3x= 6x —> 6x+40-50=15002
3. Subtract 50 from 40.
40-50= -10 —> 6x-10=15002
4. Move -10 to the right hand side to make it positive.
6x=15002+10
5. Add 15002 and 10 together.
6x=15012
6. Divide 15012 by 6. Which makes the answer X=2502
The difference in pay per class is 3, so to even out with he 96, you’d have to take 32 classes, the profit begins at the 33rd
Hope this helps
I'm guessing we have
S1 = 1000
S2 = 1000 + 500
S3 = 1000 + 500 + 250
S4 = 1000 + 500 + 250 + 125
S5 = 1000 + 500 + 250 + 125 + 62.5
Just adding that up, S5 is
Answer: 1937.5
Do they want you to use the geometric series formula? We'll check it that way.
We have first term a=1000 and common ratio r=1/2. In general
![S_n = \dfrac{a(1 - r^n)}{1-r}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cdfrac%7Ba%281%20-%20r%5En%29%7D%7B1-r%7D)
For us that's
S5 = (1000 (1 - (1/2)^5))/(1 - 1/2) = 2000(1 - 1/32)
= 2000(31)/32 = 62000/32 = 1937.5 √
Math works!
You take 3•4 to get 12, then you add a zero to that and get 120. You then multiply by six and get 720.
The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
![\rm y = \dfrac{cos(x)}{x}](https://tex.z-dn.net/?f=%5Crm%20y%20%3D%20%5Cdfrac%7Bcos%28x%29%7D%7Bx%7D)
From the definition of the even and odd function:
If f(-x) = f(x) then it is an even function
If f(-x) = -f(x) then it is an odd function
![\rm y(-1) = \dfrac{cos(-x)}{-x}](https://tex.z-dn.net/?f=%5Crm%20y%28-1%29%20%3D%20%5Cdfrac%7Bcos%28-x%29%7D%7B-x%7D)
![\rm y(-1) = -\dfrac{cos(x)}{x}](https://tex.z-dn.net/?f=%5Crm%20y%28-1%29%20%3D%20-%5Cdfrac%7Bcos%28x%29%7D%7Bx%7D)
cos(-x) = cosx
Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
Learn more about the function here:
brainly.com/question/5245372
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