Answer:
C(x) = 0.1x+23000
Step-by-step explanation:
Given that a company sells doughnuts. They incur a fixed cost of $23000 for rent, insurance, and other expenses. It costs $0.1 to produce each doughnut. The company sells each doughnut for $0.2.
Let X be the no of units produced
Then we have variable cost = 0.1x
Fixed cost = 23000 (irrespective of value of x)
Total cost
![C(x) = 0.1x+23000](https://tex.z-dn.net/?f=C%28x%29%20%3D%200.1x%2B23000)
where C represents the total cost and x no of units produced.
Revenue function would be
assuming all doughnuts are sold.
Profit function would be
![P(X) = 0.1x-23000](https://tex.z-dn.net/?f=P%28X%29%20%3D%200.1x-23000)
Answer:
The volume of a cylinder is
.
Step-by-step explanation:
We have,
Height of cylinder, h = 7 cm
Diameter of cylinder, d = 18 cm
Radius, r = 9 cm
It is required to find volume of cylinder. The formula of the volume of cylinder is given by :
![V=\pi r^2h\\\\V=\dfrac{22}{7}\times (9)^2\times 7\\\\V=1782\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h%5C%5C%5C%5CV%3D%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%20%289%29%5E2%5Ctimes%207%5C%5C%5C%5CV%3D1782%5C%20cm%5E3)
So, the volume of a cylinder is
.
Answer: What question?
Step-by-step explanation:
To determine the counter clockwise rotation of 180 degree about the origin
When rotating a point 180 degrees counterclockwise about the origin our point H(x,y) becomes H'(-x,-y).
![\text{Initial coordinate of H = (-4 , 2)}](https://tex.z-dn.net/?f=%5Ctext%7BInitial%20coordinate%20of%20H%20%3D%20%28-4%20%2C%202%29%7D)
From the rotation formula about the origin counterclockwise 180 degree is
![\begin{gathered} \text{ Final coordinate of H}^{^{\prime}}\text{ = (-(-4) , -2)} \\ H^{\prime}\text{ = (4 , -2)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7B%20Final%20coordinate%20of%20%20H%7D%5E%7B%5E%7B%5Cprime%7D%7D%5Ctext%7B%20%20%3D%20%28-%28-4%29%20%2C%20-2%29%7D%20%5C%5C%20H%5E%7B%5Cprime%7D%5Ctext%7B%20%3D%20%284%20%2C%20-2%29%7D%20%5Cend%7Bgathered%7D)
Therefore the correct answer is Option A
Answer:
220
Step-by-step explanation:
formula for area of a triangle is 1/2 base times height in this case thats 1/2(10X6) which is 30 sense there are 4 multiply 30 by 4 to get 120 then add that to the area of a square which is 10X10 or a hundred to get 220