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OLga [1]
3 years ago
7

The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000 where x is the number of rides.

Mathematics
1 answer:
MissTica3 years ago
6 0

Answer: 100 rides are needed to break even.


Step-by-step explanation:

We have given the cost function

C(x)=15x+2000 where x is the number of rides.

And rides cost 35$

⇒ revenue function would be 35 times x

i.e.R(x)=35 x , where x is the number of rides.

Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.

i.e. at break even point

total revenue=total cost

⇒35x=15x+2000

⇒35-15x=2000[subtract 15x from both sides]

⇒20x=2000 [simplify]

⇒x=2000/20[dividing both sides with 20]

⇒x=100

∴ 100  rides are needed to break even.

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What’s the answer for this question
Masteriza [31]

Answer:

x=28

Step-by-step explanation:

degrees of a triangle is always 180

2x+3x=5x

5x - 10 + 50

5x + 40

180 - 40 = 140

5x = 140

140/5 = 28

5 0
3 years ago
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Hartz Rental Car Company charges $19. 95 per day plus $0. 10 per mile to rent a compact car. Lee rented a car for two days and t
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Answer:

698 Miles

Step-by-step explanation:

89.75-19.95=69.8

69.8/0.10=698

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3 years ago
What is the equation of a circle that has a diameter of 10 units if its center is at (3,8)?
astraxan [27]

Answer:

Step-by-step explanation:

(x-3)^2+(y-8)^2 = 25

6 0
3 years ago
Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast
kirza4 [7]

Answer:

They are represented by downward parabola

They have the same equations of line of symmetry

Their vertices have same x-coordinates but different y-coordinates

They have the same domains

They have different ranges

They have different maximum values at same x values

The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up

Step-by-step explanation:

y = -2x² is a quadratic equation which represents by a parabola

From the red graph:

The graph of y = -2x² is represented by downward parabola

It has a maximum vertex (0 , 0)

The line of symmetry at x = 0

Its maximum value = 0 at x = 0

Its domain is {x: x ∈ R}

Its range is {y: y ≤ 0}

From the blue graph:

The graph of y = -2x² + 4 is represented by down ward parabola

It has a maximum vertex (0 , 4)

The line of symmetry at x = 0

Its maximum value = 4 at x = 0

Its domain is {x: x ∈ R}

Its range is {y: y ≤ 4}

From the two graphs

They are represented by downward parabola

They have the same equations of line of symmetry

Their vertices have same x-coordinates but different y-coordinates

They have same domains

They have different ranges

They have different maximum values at same x values

The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up

8 0
4 years ago
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