Answer:
Answer: f[c(p)] = 0.9265p
Step-by-step explanation:
Given: Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is , where p is the original price of the car.
He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is , where c is the sale price of the car.
Now, the composite function that can be used to calculate the final price of Jonah's car is given by :-
Check the picture below. You can pretty much just count the units off the grid.
Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have

Let A represents area, and area is the product of length and width .
So we get

Substituting the value of y, we will get

Second part
The area is maximum at the vertex, and vertex is

And

And that's the required dimensions .
27
- 3.204
10.8
----------
12.996 ?
Given:
Volume of a cube = 27,000 in^3
(Note: A cube has equal sides)
The volume of a cube = a^3
So,
![\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2027000%3Da%5E3%20%5C%5C%20%5Csqrt%5B3%5D%7B27000%7D%5Ctext%7B%20%3D%20a%7D%20%5C%5C%20a%5Ctext%7B%20%3D%2030%20in.%7D%20%5Cend%7Bgathered%7D)
Therefore, the lenght of one side is 30 inches.