A café has a monthly fixed cost of $4700, and a typical customer order costs the café $2. Therefore, the cost to serve x customers in a month is given by x = 4,700 + 2x. The typical order costs $10. So revenue is y = 10x. Find the number of customers that would need to come in the café for the company to break even. (Intersection point)

Answers

Answer 1

Answer:

The number of customers that would need to come in the café for the company to break even is 470.

Step-by-step explanation:

Given

Revenue = y = 10x ……………….…. (1)

Cost = x = 4,700 + 2x ……………… (2)

Since the company will break even when Revenue is equal to Cost, we therefore equate equations (1) and (2) and then solve for x as follows:

10x = 4,700 + 2x

10x - 2x = 4,700

x = 4,700 / 10

x = 470

Therefore, the number of customers that would need to come in the café for the company to break even is 470.


Related Questions

Grade low in math help if you can :) Geometry

Lauren wants to build a model airplane using a scale where 2 inches represents 15 feet. If the airplane is 75 feet long, how long should the model be?
A.
5 inches
B.
7.5 inches
C.
10 inches
D.
15 inches

Answers

Answer:

C) 10 inches

Step-by-step explanation:

I think the simplest way to do this is as follows:

divide 75 by 15 to get how many times you need to multiply 2in by

75/15=5

since 15(5)=75 or the actual size of the airplane,

2(5)=10 which is the size of the model airplane

When you exercise, your target heart rate r at 70% can be determined by the formula r = 0.7(220 − a) where a represents your age in years. Solve the formula for a.


PLEASE HELP

Answers


don’t use those links they’re scams

on Sundays,Crystal has breakfast at 8:30 a.m. her tennis lesson starts an hour and last for an hour. what time is her tennis lesson over?​

Answers

Answer:

it ends at 10:30 am

Step-by-step explanation:

if you add 2 hours to 8:30 am it equals 10:30 am

Can u find the value of the x.

Answers

Answer:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is​

Answers

I don’t know the answer to this bc I can’t remember

a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?

Answers

2,688 muffins
192 (trays) x 14 (muffins in each tray) = 2688 (total muffins)

Sara invested a total of $1,014 by purchasing shares of two types of stock, stock A and stock B. she purchased 52 shares of stock A and 65 shares of stock B. if the combined cost for one share of stock A and one share of stock B is $17.18 find the cost per share of stock B

Answers

Answer: I think the answer might be 9.28.

Step-by-step explanation:

I was also confused with this question so I might be wrong.

Using the information provided above I was able to conclude that two possible equations you can form is A+B=17.18, where there is only 1 stock from company A and 1 stock from company B. The other equation is 52A+65B=1,014 since this is the total amount she spend on the stocks.

You can use Desmos to graph both of the equations or solve it by hand. If solving it by hand chose which method you wanna use wether it is elimination or substitution. (I would explain the process, but I am lazy)

ANYWAYS HOPED THIS HELPED :)

PLZZ HELP!!!! ASAP PLZ!!!!
XTRA POINTS!!!

Answers

Answer:

38.1 cm²

Step-by-step explanation:

area of full circle = π6² = 113.04 cm²

area of 150° segment = (150/360)(113.04) = 47.1 cm²

triangle base = sin 75° x 6 x 2 = 11.59

triangle height = cos 75° x 6 = 1.553

area of triangle = 1/2(11.59)(1.553) = 9 cm²

150° segment - triangle = 47.1 - 9 = 38.1 cm²

What is the value of the expression?

−5/12+7/34

Answers

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

I forgotususjaajjajajaa

Can someone please help me asap extra brainly points !!!

Answers

56.52 yards should be the circumference

Answer:

56.52

Step-by-step explanation:

Circumeference Equation=2πr

Find the value of x.
log8x=3

A. 512
B. 24
C.6561
D.1/512

Answers

A. 512 is the answer.

Events A and B are mutually exclusive. Suppose event A occurs with probability 0.36 and event B occurs with probability 0.31. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that A does not occur or B does not occur (or both). 0. x 5 ? (b) Compute the probability that either A occurs without B occurring or A and B both occur. 0.36​

Answers

Answer:

Events A and B are dependent

Step-by-step explanation:

If A and B are two events such as A and B are dependent then

P(A∩B)  P(A) P(B)

An event A will occur with probability 0.4 that is  

An event B will occur with probability 0.6 that is  

The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20

Therefore,

P(A∩B)  P(A) P(B)

So,

events A and B are dependent

It is a and b hope I help

What is the diameter of a circle go through

Answers

Answer:

The diameter of a circle passes through the center of the circle and has its endpoints on the circle itself. The diameter of any circle is two times the length of that circle's radius.

Step-by-step explanation:

To find the diameter of a circle, you need to know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.

If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.

Answers

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

To learn more about the simplest radical form, visit:

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8. A truck is carrying peach juice, pear juice,
and grape juice bottles in a ratio of 4:3:5. If
there are 76 peach juice bottles, then how many
pear juice bottles are there?

Answers

Answer:

57 pear juices

Step-by-step explanation:

because we know we have 76 peach juices and the ratio is 4, so we get 19.  This means that 19=x.  And then we multiply 19 by 3 and we get 57.  

HELPPPP FASTTTTTT no links or bad answers.

Answers

Answer:

The first answer is Surface Area and the second answer is Volume.

Step-by-step explanation:

Remember that Surface Area is the sum of ALL surfaces on a 3D shape. Volume is the amount of space of a three dimensional figure, which is measured in cubic units.

My Explanation:

The first one is surface area because the cube is a 3D shape and it is measured by 5in. The second one is volume because it has three dimensions: 15 inches by 12 inches by 3 inches and it is measured in cubic units.

I hope this answers your question! :)

Answer: Surface area, Volume

Step-by-step explanation:

Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation x2/4 - y2/9=1, where distances are measured in astronomical units. Name the vertices of the hyperbola and then graph the hyperbola.

Answers

Answer:

the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers

1.A

2.B

3.D

4.A

5.B

6.D

7.A

hopes this helps everyone

The hyperbola has two vertices at (-2,0) and (2,0)

We have given that the equation

[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]

What is the equation of the hyperbola?

[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]

Compare the above equation of the hyperbola with given equation

therefore a=2

vertices are (-a,0) and (a,0)

Therefore the vertices are (-2,0) and (2,0)

See the graph of the hyperbola in link given below.

The hyperbola has two vertices at (-2,0) and (2,0)

To learn more about hyperbola visit:

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find the arc length of the bolder arc
A) 283.5 mi
C) 733.0 mi
B) 10.2 mi
D) 73.3 mi

Answers

Answer:

d its d :)

Step-by-step explanation:

i already did that

Which expression represents the difference of (6x - 5) - (-x - 4)?

Answers

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

The 819 runners in a race are divided into 6 different groups as equally as possible. How many extra runners are in the last group

Answers

Answer:

3 runners will be in the last group

Step-by-step explanation:

So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.

I hope this helps you!!!

6. Samuel runs 100 yards in 16 seconds. Jake runs 150 yards in 30 seconds. Who had the greater
speed while running? Justify your answer.

Answers

Answer:

samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake

Step-by-step explanation:

f(x) = x? What is g(x)?
g(x);
5-
(1,3)
(x
A. g(x) = (3x)2
B. g(x) = 9x2
C. g(x) = 3x2
D. g(x)= x2

Answers

Answer:

C.   g(x) = 3[tex]x^{2}[/tex]

Step-by-step explanation:

f(1) = 1    and    g(1) = 3    

g(1) is 3 times more than f(1)

So, g(x) = 3[tex]x^{2}[/tex]

Question 3 of 10
What is the formula for finding the break-even point?
A. Break even point =
(0.125)(# of points)
monthly savings
B. Break even point =
(0.01)(# of points) (P)
monthly savings
C. Break even point =
(0.125)(# of points) (P)
monthly savings
D. Break even point =
(0.01) (# of points)
monthly savings
SUB

Answers

Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings

Step-by-step explanation: took the quiz.

The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).

What is break-even point?

The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.

The formula for finding the break-even point is:

Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)

Where:

Fixed costs: the costs that do not change with the level of production or salesUnit price: the selling price of one unit of the product or serviceVariable costs per unit: the costs that vary with the level of production or sales, such as materials, labor, and shipping costs.

Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.

For more details regarding break-even point, visit:

https://brainly.com/question/29063970

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A cone has a height of 10 meters and a diameter of 20 meters. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answers

Answer: 235.5 cm³

Step-by-step explanation: Volume of a cylinder is the area of the circular base times the height of the cylinder:

V = π r² h

Given r = 5 cm and h = 3 cm:

V = (3.14) (5 cm)² (3 cm)

V = 235.5 cm³

see atattchment please answer asap

Answers

Answer:

C

Step-by-step explanation:

You save $1400 from a summer job. You decide to put it into an account that earns simple annual interest. After 9 months, your balance is $1421. Find the annual interest rate.

Answers

Answer:

2%

Step-by-step explanation:

Calculate annual interest amount first:

                annual interest x 9/12=21

                Annual interest =21x12/9

                 annual interest amount=$28

calculate annual interest rate

                1400 x interest rate = annual interest

               $1400 x interest rate = $28

                interest rate =$28/1400

                interest rate=.02 or 2%

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

Area= height x width = (x + 6) (x+ 2) = x^2 + 2x + 6x + 12= x^2 + 8x + 12

What is one pair of vertical angles?

Answers

Answer:

A pair of socks is two socks, therefore a pair of verticle lines would be two vertical lines. A verticle line is the y intercept on the graph, or a stright line going from the floor to the roof. Your legs for example is a pair of verticle lines.

1. Find the area of the figure above in square inches


2. Find the perimeter of the figure above in inches

Answers

The area is: 1,375 inches and the perimeter is: 197 inches

Mr. Cole has $ 200. He keeps 3_4 of the money and divides the remainder equally between his two children. How much money does each child receive?

Answers

Answer: [tex]\$25[/tex]

Step-by-step explanation:

Given

Mr. Cole has $200

He keeps three-fourth of money i.e.

[tex]\Rightarrow 200\times \dfrac{3}{4}=\$150[/tex]

Remaining money is [tex]=200-150=\$50[/tex]

If $50 dollar is distributed among two-child, then each child will get

[tex]\Rightarrow \dfrac{50}{2}=\$25[/tex]

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