The volume of the smaller room is B. 768 cubic feet.
Step-by-step explanation:
Step 1:
The entire length for both rooms is 20 feet. As the large room has a length of 12 feet, the length of the smaller room is
18 feet long.
The width of the prism is 12 feet and a height of 8 feet.
The volume of a rectangular prism is determined by multiplying its length, its width, and its height.
The small room's length = 8 feet,
The small room's width = 12 feet, and
The small room's height = 8 feet.
Step 2:
The volume of a rectangular prism ![= (l)(w)(h).](https://tex.z-dn.net/?f=%3D%20%28l%29%28w%29%28h%29.)
The volume of the smaller room ![= (8)(12)(8)= 768.](https://tex.z-dn.net/?f=%3D%20%288%29%2812%29%288%29%3D%20768.)
So the volume of the smaller room is 768 cubic feet which is option B.
Answer:
Given Initial investment = $12,000
Cost per unit = $11.50
Selling price per unit = $19
a. For x unit
Total cost = Initial investment + Cost per unit * no of unit
= 12,000 + 11.50(x)
c(x) = 12,000 + 11.50(x)
R(x) = Selling price per unit * no of items
R(x) = 19 * x
R(x) = 19x
b. Break even point = R(x) = C(x)
19x = 12,000 + 11.50x
19x - 11.5x = 12,000
7.5x = 12,000
x = 12,000 / 7.5
x = 1600
So, break even point x = 1,600
c. For Profit = $1,000
P(x) = 1,000
P(x) = R(x) - C(x)
1000 = 19x - (12,000 + 11.5x)
1000 =19x - 11.5x - 12000
7.5x = 12000 + 1000
7.5x = 13000
x = 13000/7.5
x = 1733.33
So x = 1733 units
Hence, 1733 units will yield for $1,000 profit
Answer:
Yes
Step-by-step explanation:
Answer:
4p - 6t
Step-by-step explanation:
7p + 9t - 3p - 15t
= 7p - 3p + 9t - 15t
= 4p + (-6t)
= 4p - 6t
The correct answer is F(-2)=-23