Answer:
C(x) = 7.5k + 2400 is the expense equation.
Step-by-step explanation:
The fixed cost per month = $2,400
Cost of producing each shoe = $7.5
Here, let k be the number of shoes produced per month .
So, the monthly expense
= Fixed Cost + (Number of shoes produced per month x Cost per shoe)
or, C(x) = $2,400 + ( k x $7.5)
or, C(x) = 7.5k + 2400 is the expense equation.
We have the function:

A turning point happens when the function reaches a maximum or a minimum.
In that points the value of the first derivative of the function is equal to 0.
So we can find the turning points by finding the first derivative and equal to zero:
Answer:
The percent increase of her collection is 60%
Step-by-step explanation:
Divide 24 by 15 to get your answer which is 1.6. Since the decimal is .6 and it is one digit behind the decimal, you can safely assume it is 60%
Are you trying to take the integral of cot 2x?
Answer:
2 * 5⁴
Step-by-step explanation:
Given :
Number of cubes = 10
Side length, a of each cube = 5
The volume of a cube = (side length)³
Hence, the volume of each of Han's cube = 5³
Therefore, the total volume will be :
Volume or cube * number of cubes
5³ * 10
10 = 2 * 5 = 2 * 5¹
5³ * 2 * 5¹
2 * 5^(3 +1)
2 * 5⁴