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sattari [20]
2 years ago
5

A company is planning to set up a new manufacturing plant for giant inflatable beach balls and believe the costs follow a linear

model. The cost analysts estimate the cost of producing 10,000 beach balls to be $587,500 and the cost of producing 50,000 beach balls to be $717,500
Mathematics
1 answer:
Jet001 [13]2 years ago
8 0

The cost(y) of producing x number of balls is given by the linear model y = 3.25x + 685000

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Let y represent the cost of producing x number of beach balls.

Using the point (10000, 587500) and (50000, 717500):

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-717500=\frac{717500-587500}{50000-10000} (x-10000)\\\\y=3.25x+685000

The cost(y) of producing x number of balls is given by the linear model y = 3.25x + 685000

Find out more on Linear equation at: brainly.com/question/14323743

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Answer:

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Step-by-step explanation:

Combine like terms:

2x + 6x - 10

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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
Luda [366]

Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

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3.- Determine a

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                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

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5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

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3 years ago
Janet deposited $9,600 into an account that pays 4.4 interest, compounded daily. At the end of nine months, how much interest ha
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bearing in mind that 9 months is not even a year, but since there are 12 months in a year, then 9 months is really 9/12 years.


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Answer:

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6 - ( - 2)

Distribute the negative in.

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6 + 2

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3 years ago
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