A kitchen table is being sold at a furniture store. These are the cost and revenue functions associated with the tables, where x
represents the selling price of a single table:
R(X) = -0.68x2 + 310x
C(x) = 43.6x + 36,176
Which two points represent breakeven for table sales?
(0, 36,176)
(140, 30,072)
(227, 35,330)
(260, 9,792)
(380, 19,608)

A Kitchen Table Is Being Sold At A Furniture Store. These Are The Cost And Revenue Functions Associated

Answers

Answer 1

Answer:

(140, 30,072) and (380, 19608).

Step-by-step explanation:

We are given that the revenue function for selling the kitchen table given its price is:

[tex]R(x)=-0.68x^2+310x[/tex]

And the cost function is:

[tex]C(x)=-43.6x+36176[/tex]

At the breakeven point, the revenue equals the cost. Therefore:

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

Substitute:

[tex]-0.68x^2+310x=-43.6x+36176[/tex]

We can solve for x.

Adding 0.68 to both sides and subtracting 310x from both sides yields:

[tex]0.68x^2-353.6x+36176=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:

[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]

So, our two solutions are:

[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]

Use a calculator:

[tex]x\approx 380\text{ or } x\approx 140[/tex]

Our answers are:

(140, 30,072) and (380, 19608).

Answer 2

Answer:

(140, 30,072) and (380, 19608)

Step-by-step explanation:

i got it right


Related Questions

A sweater costs $25. The store marks up the price by 85%. What is the selling price of the sweater?

Answers

21.25 because $25x85%=21.25

A cylinder soup has a radius of 1,6 in and is 5/7 in. tall what is the volume

Answers

Answer:

[tex]V=0.0623\ inch^3[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1/6 inch

The height of the cylinder, h = 5/7 inch

We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

[tex]V=\pi r^2 h\\\\=3.14\times (\dfrac{1}{6})^2\times \dfrac{5}{7}\\\\V=0.0623\ inch^3[/tex]

So, the volume of the cylinder is equal to [tex]0.0623\ inch^3[/tex].

Please help! I will give brain list also if you mind(you don’t have to) but may you explain?
Also I report people who add links :)

Answers

Answer:

2. 8/10 is bigger

3. 7/8 is bigger

4. 1/2 is bigger

5. 8.12 is bigger

6. 4/6 is bigger

7. 7/12 is bigger

Step-by-step explanation:

name a radius circle qrtps

Answers

The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle. The chord of a circle which passes through the centre of the circle is called the diameter of the circle.

A square has an area of 64 square ft. What would be the measureme of its side? * ​

Answers

8ft

hope this helps, have an amazing day <3

Answer:8

Step-by-step explanation:

8x8=64

Pls answer its khan academy I really need it

Answers

Answer:

Step-by-step explanation:

Note the f(0) = 9

and f(1) = 15

Since, f(x) = abˣ substituting for x, we get:

9 = f(0) = a . b⁰ = a

⇒ a = 9

Now, f(1) = 15

⇒ 15 = a . b¹

⇒ 15 = 9 . b

⇒ b = 15/19

Therefore,

f (r) = 9. (5/3)

Hence, the answer.

Help please thank you !!

Answers

Answer:

AC and AE

Step-by-step explanation:

Those are the only secants in the image shown.

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot

100 points i just need helpp

Answers

Answer:

5sqrt(5) = q

-5sqrt(5) = q

Step-by-step explanation:

f(q) = q^2 -125

To find the roots set the equation equal to zero

0 = q^2 -125

Add 125 to each side

125 = q^2 -125+125

125 = q^2

Take the square root of each side

±sqrt(125) = sqrt(q^2)

±sqrt( 5*25) = q

±sqrt( 25)* sqrt(5) = q

±5* sqrt(5) = q

±5sqrt(5) = q

Answer:

Guy above deserves brainliest

Step-by-step explanation:

rewrite
3/20
and
2/15
so that they have a common denominator.

Answers

Answer:

9/60 and 8/60

Step-by-step explanation:

They both have the number 60 in common

Suppose y varies directly with x. Write an equation relating x and y.
y = -22.5 when x = 15
a.
b.
y = -0.75x
2
y=-3
c. y=-1.5x
d. y = 1.5x

Answers

It’s 10 by 2 but the integers should be 12 and the ans should be 11.

1. What is the difference in the ranges?
A 5 points
C 20 points
B 10 points
D 35 points
2. Which test has a greater median?
A Test 1
B Test 2
C They have the same median.
D You cannot tell from the dot plots.

Answers

Test 2 they have 80 and 70

y = x2 – 3x + 2
use the discriminant to determine the number of solutions​

Answers

Answer:

2 real solutions

Step-by-step explanation:

The formula for determining the discriminant is b² - 4ac.

So, let's identify our variables.

a = 1

b = 3

c = 2

Now, we can plug in our values.

3² - 4(1)(2)

9 - 8

1

1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.

Mj3mar gave the answer thanks to him I wouldn’t have got my question right

Given polynomial A and polynomial B below, which binomial factor do they have in common?

Answers

F. (n-4)
Polynomial A factors to (2n+9)(n-4)
Polynomial B factors to (n-6)(n-4)

86.4 is what percent of 144?

Answers

Answer:

60%

Step-by-step explanation:

86.4 divided by 144 is 0.60 which is 60%

Answer:

60%

Step-by-step explanation:

divide 86.4 by 144 which will give you 0.60

Use the theorem in Sec. 28 to show that if f (z) is analytic and not constant throughout a domain D, then it cannot be constant throughout any neighborhood lying in D. Suggestion: Suppose that f(z) does have a constant value ωo throughout some neighborhood in D.

Answers

Answer:

The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.

Step-by-step explanation:

Given

For any given function f(z), it is analytic and not constant throughout a domain D

To Prove

The function f(z) is non-constant constant in the neighbourhood lying in D.

Proof

1-Assume that the value of f(z)  is analytic and has a constant throughout some neighbourhood in D which is ω₀

2-Now consider another function F₁(z) where

F₁(z)=f(z)-ω₀

3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.

4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.

5-Replacing value of F₁(z) in the above gives:

F₁(z)≡0 in domain D

f(z)-ω₀≡0 in domain D

f(z)≡0+ω₀ in domain D

f(z)≡ω₀ in domain D

So this indicates that the value of f(z) for all values in domain D is a constant  ω₀.

This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.

What shape are the faces, other than the base,
of a pyramid?

Answers

Answer:

A triangle

Step-by-step explanation:

Verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C.

Answers

Answer:

hello your question is incomplete below is the complete question

verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??

answer :  attached below

Step-by-step explanation:

Attached below is the required verification of the conclusion of Green's Theorem

In the attached solution I have  proven that Green's theorem ( ∫∫c F.Dr ) .

i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2

               

two fair number cubes are rolled at the same time. what is the probability that both number cubes have the number four facing up? thanksss <3333

Answers

Answer:

The probability that both number cubes have the number 4 facing up is 1/36.

Step-by-step explanation:

For a cube, we have the number:

1,2,3,4,5 and 6

The number 4 only occurs once in the six.

So, the probability of having the number 4 in a single roll is 1/6.

Now, for two rolls, we have two probabilities which we will have to multiply.

Thus, we have the probability as:

[tex] \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} [/tex]

1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5

Answers

key ans lang yan sana makatulong HAHAHA

Jenelle draws one card from a standard deck of 52 cards.
Determine the probability of drawing either a jack or a queen?
Write your answer as a reduced fraction.
Answer =
Determine the probability of drawing either a jack or a spade?
Write ydur answer as a reduced fraction.
Answer =

Answers

Answer:

First Answer = 2/13

Second Answer = 4/13

Step-by-step explanation:

1. There are 52 cards in a standard deck. There is also a total of 4 jacks and 4 queens of these 52 cards. So, the probability of drawing either a jack or a queen after one pick would be 8/52 = 2/13.

2. There are 4 jacks, and 13 spades. However, one of those jacks is a jack of spades. So, instead of 17 possible picks, one overlaps, resulting in 16 possible picks. This is represented by 16/52 = 4/13.

The probability of drawing either a jack or a queen is 2/13 or 15.38%. In turn, the probability of drawing either a jack or a spade is 15/52 or 28.84%

Since Jenelle draws one card from a standard deck of 52 cards, to determine the probability of drawing either a jack or a queen, and to determine the probability of drawing either a jack or a spade, the following calculations must be performed:

Jack + Queen = 4 + 48/52 = X2/13 = X0.1538 = X

Jack + Spade = 4 + 1115/52 = X0.2884 = X

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How would you find the surface area of the figure represented by the given net? (Note: The area of each circular base is the same.) Add 1,105.28 + 200.96 + 22. Multiply (22)(200.96). Add 1,105.28 + 200.96 + 200.96. Multiply (1,105.28)(200.96).

Answers

Answer:

Option 3: "Add 1,105.28 + 200.96 + 200.96"

Step-by-step explanation:

Just follow the rule: add each area of the net. Ignore the 22 mm because that does not represent the area. Got this question right in an assignment.

Mark Brainliest pls!

You can find the surface area by Adding 1,105.28 + 200.96 + 200.96.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The surface area will be calculated as:-

SA = 1,105.28 + 200.96 + 200.96.

SA = 1507.2

Therefore the surface area by Adding 1,105.28 + 200.96 + 200.96.

To know more about a surface area follow

https://brainly.com/question/25292087

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The drawing shows the measurements eduardo made along a river what is the distance D across the river

Answers

Answer:

7m eeiienensmzsowehbxhrbdie


3. The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?
O A the input when the output is zero
O B. the output when the input is zero
O C. the input when the output is 1
O D. the output when the input is 1
4. The equation for this graph is Output = 2 .

Answers

Answer:

Area: ½ × base × height

Perimeter: sum of side lengths of the triangle

of vertices: 3

Number of edges: 3

Internal angle: 60° (for equilateral)

Sum of interior angles: 180°

Step-by-step explanation:

Can someone help me with this problem please. ( I need it as fast as possible).

Answers

Answer:

D-B-A-C

Step-by-step explanation:

What is BD? please help

Answers

We’re looking for the angles right?
i think you would set BC and CD equal to 180 bc BD is a straight line (180°). so x+5+x. you'd have 2x+5=180. once you get the x value, you'd plug it into the x+5 to get that length. i am not 100% about this though bc it does seem weird to have a decimal length..

Mia's birthday party will cost $12 if she invites 4 guests. What is the maximum number of guests there can be if Mia can afford to spend a total of $15 on her birthday party?

Answers

You find how much each person costs so 12/4 = 3. So every person costs 3 dollars. Then you divide 15/3 and you get 5 so she can invite a max of 5 people

Find the volume of a rectangular prism with a base that has an area of 22 square cm and a height of 8 cm. formula V=LxWxH ​

Answers

Answer:

176 cu. cm

Step-by-step explanation:

Vol. of prism = Bh where B is the area of the base and h is the height

V = 22(8) = 176 cu. cm

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal? Do not write probability in terms of percentage. Round your answer to two decimal places.

Answers

Answer:

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F.

This means that [tex]\mu = 57, \sigma = 10[/tex]

Sample of 25:

This means that [tex]n = 25, s = \frac{10}{\sqrt{25}} = 2[/tex]

of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal?

This is 1 subtracted by the pvalue of Z when X = 59. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{59 - 57}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.84

1 - 0.84 = 0.16

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

write the properties of absolute value:​

Answers

Answer:

hope this help you. look it once.

15 is 60% of what number?

Answers

60% of 25 is 15. 100% of 25 is 25, therefore 60 percent of 25 equals 15.

15 is 60% of the number 25

To find the number of which 15 is 60%, we can set up the following equation:

0.60 * x = 15

Here, x represents the unknown number.

To solve for x, we divide both sides of the equation by 0.60:

x = 15 / 0.60

Evaluating the division:

x = 25

Therefore, 15 is 60% of 25.

Learn more about percentages here:

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