A company sells widgets. The company’s fixed and variable cost are modeled by the function C(x)=0.92x+85000. It’s revenue is modeled by the function R(x)=5.6x.

How many widgets does the company have to sell to break even? Round your answer to the nearest whole number, if needed.

Answers

Answer 1

Answer:

18162 widgets

Step-by-step explanation:

Given

[tex]C(x)=0.92x+85000[/tex]

[tex]R(x)=5.6x.[/tex]

Required

Determine the price at break even point

At breakeven point, the following relationship exists

[tex]Rx = C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]5.6x = 0.92x +85000[/tex]

Collect Like Terms

[tex]5.6x - 0.92x =85000[/tex]

[tex]4.68x =85000[/tex]

Make x the subject

[tex]x = \frac{85000}{4.68}[/tex]

[tex]x = 18162.3931624[/tex]

[tex]x = 18162[/tex] --- Approximated


Related Questions

A machine fills container at a constant rate of 5/8 of a box every 1/2 minute. What is the number of container per minute?

Answers

5/8 * 2 = 10/8
1 and 1/4 of a container per minute

cable has 2 1/5 yard of rope. he uses 3/4 of the rope to make a dog leash. which expression can be used to represent 3/4 of 21/5​

Answers

Answer:

B

Step-by-step explanation:

Thank me later

rearrange w=5(3a-b) + 2 to make a the subject

Answers

Answer:

w=15a-5b+2

w+5b-2=15a

(w+5b-2)/15=a

Step-by-step explanation:

The value of a in the expression w = 5(3a - b) + 2 is a = (1 + 5b - 2)/15.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given an expression  w = 5(3a - b) + 2.

Now to make 'a' the subject is the same as finding the value of a.

w = 5(3a - b) + 2.

w = 15a - 5b + 2.

w + 5b - 2 = 15a.

a = (1 + 5b - 2)/15.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Find the distance between the points (8,-3) and (2, -3).​

Answers

Because the Y values are the same ( -3) the distance is the difference between the x values:

Distance = 8-2 = 6

The answer is 6

What is the equation of the graphed line written in standard form? x – 4y = 4 x + 4y = 4 y = y equals StartFraction one-fourth EndFraction x minus 1.x – 1 y = –y equals negative StartFraction one-fourth EndFraction x minus 1.x – 1

Answers

Answer:

The answer is A

Step-by-step explanation:

I got it right

Answer:

Answer is A

Step-by-step explanation:

Will give brainliest!

Answers

D tethetjwtjwtjwhwtjwtj

Five numbers have an average of 6.

Four of the numbers are 0, 1, 3, and 7.
What's the fifth number?

Answers

Answer:

1+3+0+7+x/6=6....

11+x=36...

X=36-11=25

g If the quantity of helium in a weather balloon in increased by a factor of 5 at constant temperature and pressure, by how much does the volume of the balloon change? Decrease by 2 times Increase by 5 times Decrease by 5 times Increase by 2 times

Answers

Answer:

Increase by 5 times

Step-by-step explanation:

Given that from the ideal gas law;

PV = nRT

P= pressure

V= volume

n= number of moles

R= gas constant

T = temperature

It the follows that;

V= nRT/P

When the number of moles (quantity of helium) is increased by a factor of 5 while temperature and pressure remain constant, we can write;

PV = 5nRT

V = 5nRT/P

Hence the volume increases by a factor of 5.

.Write the vertex and indicate if the graph opens up or down. y = 2x2 + 8x + 3


A. (2,5) down
B. (-2,5) up
C. (-2,-5) down
D. (-2,-5) up​

Answers

Given:

The equation of the parabola is

[tex]y=2x^2+8x+3[/tex]

To find:

The vertex and check whether it opens up or down.

Solution:

We have,

[tex]y=2x^2+8x+3[/tex]

Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.

The vertex of parabola [tex]f(x)=ax^2+bx+c[/tex] is

[tex]\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

Here, a=2, b=8 and c=3.

[tex]\dfrac{-b}{2a}=\dfrac{-8}{2(2)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-8}{4}[/tex]

[tex]\dfrac{-b}{2a}=-2[/tex]

Putting x=-2 in the given equation.

[tex]y=2(-2)^2+8(-2)+3[/tex]

[tex]y=2(4)+(-16)+3[/tex]

[tex]y=8-16+3[/tex]

[tex]y=-5[/tex]

So, the vertex of the parabola is at (-2,-5) and parabola opens up.

Therefore, the correct option is D.

2. Solve: 7(5x-2) = 6(6x - 1).

Answers

Answer:

-8

Step-by-step explanation:

35x-14=36x-6

35x-36x=-6+14

-x=8

x=-8

answer will be giving brainliest

Answers

Answer:

Daniele sister

Step-by-step explanation:

she right because 1 9/18 is even n have factors to it    9/8 is   1 1/9-   den u can get 1 1/2 cause u simplified

im prob wrong-

Solve the equation and determine the value of t. t + 38 = 420

Answers

Answer:

t=382

Step-by-step explanation:

Answer:

382

Step-by-step explanation:

1. t=420-38

2. t=382

A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin of error for this poll if we want 95% confidence in our estimate of the percentage of new home buyers who hired movers.

Answers

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion [tex]\hat p[/tex] = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

[tex]Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96[/tex] (From the z tables)

The margin of error is calculated by using the formula:

[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}[/tex]

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

which statement is true about the solution of this system of equations?

{x+3y=-4
3x+9y=-12

Answers

Answer:

ssdafdsdsaasd

Step-by-step explanation:

adsdasdasdsadadasds

Answer:

x=-4-3y

Step-by-step explanation:

Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?

Answers

Answer:

1

Step-by-step explanation:

the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry , the dot product of the Cartesian coordinates of two vectors is widely used.

Answer:

C

Step-by-step explanation:

Edge 2021

9. A ranch has 575 cows on 25 acres of land. Which rate best represents the relationship
between the number of cows and the number of acres?

Answers

Answer:

10/10

Step-by-step explanation:

IGIVEEEEEEEEEEEEEEEEEEEEE BRSAINLILSTER

Answers

Answer:

G

Step-by-step explanation:

Houston’s annual salary is $89,616. He falls in the 35% tax bracket. What is his net annual salary?

Answers

Answer:

$31365.60

Step-by-step explanation:

due in an 1hr help!!

Answers

Answer:

I think its D

Step-by-step explanation:

Mark me Brainliest

A. mg- fp sin theta
B. mg-fp cos theta
c. Mg + fp sin theta
d. mg​

Answers

Answer is d mg ...........

HOPE IT HELP....

In the isosceles trapezoid below,
x = = [? ]°

Answers

Answer:

Step-by-step explanation:

yes

if you solve the equation,

5x+15=7x-11

26=2x

x=26/2=13

Can someone please help me?!?! I need this done before 1-5-21

Answers

Answer:

8=w, -8=w  (±8=w)

Step-by-step explanation:

192=[tex]3w^{2}[/tex]

First, divide by 3

64=w²

now take the square roots of 64 and w² ( we're thinking about which numbers/variables will be multiplied to get 64 and w². They are 8 and w. But wait! -8 can also work, since when you square it a negative number, it will turn positive. )

8=w, -8=w

You can also write it as ±8=w

Hope this helps!

Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.

Answers

Step-by-step explanation:

The triangles are congruent due to Hypotenuse-Leg congruence. (HL congruence)

Each of the triangles have a right-angle, a congruent hypotenuse and a congruent side of the triangle.

Therefore Triangles ABC and PRQ are congruent.

Answer:

Yes

Step-by-step explanation:

Given

Right triangles with congruent hypotenuse and one leg.

This is sufficient for HL (Hypotenuse, Leg) congruence theorem

Which point is in the solution set of the given system of inequalities?

Answers

Answer:

(1/5, 9/5)

Step-by-step explanation:

Given the set of inequities

x+y>2..... 1

4x-y≥-1 .... 2

We are to get the solution point (x,y)

Solving simultaneously

From 1:

x>2-y

Substitute into 2

4(2-y)-y≥-1

4(2)-4y-y≥-1

8-5y≥-1

-5u ≥-1-8

-5y ≥-9

y≤9/5

Since x>2-y

x>2 - 9/5

x>1/5

Hence the required point is (x,y) = (1/5, 9/5)

Answer:

C. (0,3)

Step-by-step explanation:

hope this helps :)

Divide.

11.02 ÷ 3.8

Enter your answer, as a decimal, in the box.

Answers

Answer:

2.9

Step-by-step explanation:

11.02÷3.8= 2.9

Answer:

2.9

if im right mark as brainlest thank you!

Imagine Kiri Commented On this question (⊙_⊙)?

Answers

A dream come true tbh, kiri you out there???

Answer:

That would just be magical- like let's imagine how it would turn out. :>

Step-by-step explanation:

Create a problem for the equation 4n + 7 = 55. Show how you know it is correct.

Answers

Answer:

Matt needs to read 55 books for the school book fair. He has already read 7 and reads books at a rate of 4 books per day. How many more books will he need to read?

(can I get brainliest pls)

Dividing the sum of 3 7/8 and 2 11/16 by 5/8 yields which value?
A. 15/32
B. 1 1/5
C. 4 1/4
D. 10 1/2​

Answers

3 7/8 + 2 11/16= 6 9/16

Write an equation for this scenario and solve.

Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score?

Answers

Answer:

lets call andere A and diego D.

so

A-9=D

D times 2 = n

now we divide 10/2 and thats 5

diego scored 5 points so we can sub in

A-9=5

now we add 9. making 14

ANDRE SCORED 14

Answer:

Diego scored 14 points

x = 14

Hope this helps!

please answer asap no trolls!!

Answers

Answer:

1. b = 47

2. c = 18

Step-by-step explanation:

From the question given above, we can see that the two shapes are right angle triangle.

Thus, if ΔUVW ≅ ΔFED, then

1. VW = ED

2. UW = FD

3. UV = EF

1. Determination of the value of b.

UW = 47

FD = b

UW = FD

47 = b

Therefore,

b = 47

2. Determination of the value of c.

VW = c

ED = 18

VW = ED

c = 18

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