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Ivahew [28]
3 years ago
11

Reasoning Practice

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

5

Step-by-step explanation:

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The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug
ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0
3 years ago
Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find
Anastasy [175]
Required area of shaded portion

= Area of square ABCD - 4 × area of one quadrant

= 14 \times 14 - 4 \times \frac{90}{360} \times \frac{22}{7} \times (7) \times (7)

= 196 - 154 = 42 \: cm {}^{2}

3 0
3 years ago
A sketch is drawn that is 6 inches by 9 inches. It is put in a frame of uniform width. If the area of the sketch is
m_a_m_a [10]

Answer:

30 inches squared

Step-by-step explanation:

First, find the area of the entire frame using length times height. 9*6 is 54 inches squared. Then, find the area of the middle space the same way. 6*4 is 24 inches squared. Lastly, subtract the middle from the entire frame's area. 54-24 is 30 inches squared.

4 0
2 years ago
Pllssss help I put B, but I got it wrong the first time. NO LINKS
Mamont248 [21]

Answer:

<em>D.1767.1 in³</em>

Step-by-step explanation:

<em>volume of a sphere=4/3πr³</em>

<em>where r=radius of the sphere</em>

<em>Given diemeter= 15in</em>

<em>so radius=15/2=7.5in</em>

<em>volume=4/3×π×(7.5)³</em>

<em>=4/3×22/7×(7.5)³</em>

<em>=1767.1in³</em>

<em>hope it helps...</em>

<em>have a great day!!</em>

6 0
3 years ago
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
sp2606 [1]

I''m pretty sure it's A

6 0
3 years ago
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