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bogdanovich [222]
3 years ago
8

To earn a profit, the revenue must be greater than the cost. The revenue for selling x units of an item is R = 26.05x. The cost

to make x units is C = 1,500 + 16.75x. The owner claims she had a profit today because they made and sold 183 units of the item. Is her claim true?
a. Yes, because R > C when x = 183.

b. Yes, because R < C when x = 183

c. No, because R > C when x = 183.

d.No, because R < C when x = 183.

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0

Answer:

a. Yes. The owner made a profit, because R > C when x = 183.

Step-by-step explanation:

(1) Calculate the revenue

R = 26.05x = 26.05 × 183 = 4767.15

(2) Calculate the cost

C = 1500 + 16.75x = 1500 + 16.75 ×183 = 1500 + 3065.25 = 4565.25

(3) Calculate the profit

P = R – C = 4767.1 – 4565.25 = 201.90

P > 0. The owner made a profit, because R > C when x = 183.

In the graphs below, the red line represents costs and the blue line represents revenues.

We see that C > R until we reach the break-even point at 162 units. After 162 units, R > C, and the business makes a profit. This, making 183 units is profitable for the company.

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Answer:

There are 3 adults in the family.

Step-by-step explanation:

The equations 8x + 4y = 32 and 16x + 12y = 72 represent the cost of lunch and dinner for a family in which x is the number of adults and y is the number of children.

We have to find the number of adults or the value of x by solving these equations.

equations are 8x + 4y = 32 -------(1)

16x + 12y = 72 --------(2)

Now we will multiply equation 1 by 3 and subtract it by equation 2.

(16x + 12y) -3(8x + 4y) = 72 - 96

16x + 12y - 24x - 12y = -24

(16x - 24x) + (12y - 12y) = -24

-8x = - 24

8x = 24

x = 3

Therefore, there are 3 adults in the family.

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Brainliest + points!<br><br> Please explain
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Answer:

C

Step-by-step explanation:

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Sveta_85 [38]

The coordinates of the focus of the parabola are (4 , 0)

Step-by-step explanation:

The standard form of the equation of the parabola is  

(x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p

∵ The equation of the parabola is 12(y + 3) = (x - 4)²

 - The form of the equation is (x - h)² = 4p(y - k), compare

    between them to find h, k and p

∴ h = 4

∵ - k = 3

- Multiply both sides by -1

∴ k = -3

∵ 4p = 12

- Divide both sides by 4

∴ p = 3

∵ The coordinates of the focus are (h , k + p)

∵ h = 4 , k = -3 , p = 3

∴ k + p = -3 + 3

∴ k + p = 0

∴ The focus is (4 , 0)

The coordinates of the focus of the parabola are (4 , 0)

Learn more:

You can learn more about the equation of the parabola in brainly.com/question/9390381

#LearnwithBrainly

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