A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn a profit?

Answers

Answer 1

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

Answer 2

Profit is the difference between the revenue and cost functions

A production greater than 19 will turn a profit

From the question, we have:

[tex]\mathbf{R(x) = 6x}[/tex]

[tex]\mathbf{C(x) = 12x + 114}[/tex]

So, the profit function is:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

Substitute known values

[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]

[tex]\mathbf{P(x) = - 6x - 114}[/tex]

Equate to 0

[tex]\mathbf{- 6x - 114 = 0}[/tex]

Collect like terms

[tex]\mathbf{- 6x= 114}[/tex]

Divide both sides by -6

[tex]\mathbf{x= -19}[/tex]

The above equation means that: A production greater than 19 will turn a profit

Read more about profit functions at:

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Step-by-step explanation:

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Answer:

Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? If 55 were girls then there were 123-55 = 68 boys. Thus the ratio would be 55 girls to 68 boys, or 55/68.

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60

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what questions need to be done? We need to know the problems before we answer them. :/

Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.

Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.

Answers

Answer:

Decision rule

Fail to reject the null  hypothesis

Conclusion

The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  214

   The sample proportion is p = 0.78

   The level of significance is [tex]\alpha = 0.05[/tex]

Generally the population proportion is mathematically represented as

      [tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement  ''three out of four'' in the question)

The null hypothesis is [tex]H_o : p = 0.75[/tex]

The alternative hypothesis [tex]H_a : p > 0.75[/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]

=>    [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]

=>  [tex]z = 1.01[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  = P(Z > z )[/tex]

=> [tex]p-value  = P(Z > 1.01 )[/tex]

From the z-table  

    [tex]P(Z > 1.01 ) = 0.15625[/tex]

So

    [tex]p-value  = 0.15625 [/tex]

From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis

 Therefore we can conclude that the sample evidence is  not  sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!

Answers

Answer: I think the answer is B.) 570

the answer is C.) 760

Jillian is at her favorite clothing store and has found a pair of pants that are on sale for 20% off the regular price. They
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$4,60
$8.00
$6.00
$5.60

Answers

$5.60 is correct. Multiply $28 by .20

Answer:

5.60 it answer D hope it helps ~••~

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Answer:

100=9s+10

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Colin invests £1200 into his bank account.
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Give your answer to the nearest penny where appropriate.

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Gshhebehbebe hebebeb bebebeb benenne hwbebeb hebebvecehalonw wine wow. Nennen

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Answer:

True, depending on where f(x) is located

Step-by-step explanation:

g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.

Answers

Answer:

Main difference between circle & ellipse

Step-by-step explanation:

Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel

Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets

Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question

Explanation:

Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord  and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not  have major and minor axis length both are different.

Thus we conclude that cricle is totally different from ellipse

To know more about cricle and ellipse

https://brainly.com/question/9689499

Wendy and Mini earn $38 per week for delivering magazines. Wendy worked for x weeks and earned an additional total bonus of $15 Mini worked for y weeks. Which expression shows the total money, in dollars, that Wendy and Mini earned for delivering magazines

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Answers

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Answers

Answer:

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Step-by-step explanation:

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If a, b and c are positive integers for which (a,b,c) is the only
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a+b+c?

Answers

If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

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Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.​

Answers

Answer:

y = 2

Step-by-step explanation:

....................

(6-x3)5=45 Please help

Answers

the answer is x equals -1

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Drag each tile to the correct box.
Match each savings plan to its description.

401(k)
Roth IRA
403(b)
529 plan
health FSA

a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions

a tax-advantaged college savings plan

an employer-offered retirement account that accepts contributions from
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Answer:

403(b)

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Step-by-step explanation:

I looked it up. Good luck :)

Answer:

401(b)

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401(k)

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Step-by-step explanation:


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Answers

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DATE:
a. Aling Luz bought 3 yards of linen cloth
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oo to cashier How much change will she tecive.​

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but let me help out. I saw a similar question.

Example 1: Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1000.00 to the cashier.How much change will she get?

Since we are informed that Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard, the amount she'll pay will be:

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Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5

Answers

The answer would be A because 5 goes to two y-values, instead of just one.
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Hi hi I hope you know that I was wondering if you wanna was a way you can get me to

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Because: i looked it up

Answer: y=x10

Step-by-step explanation:

Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)

Answers

Answer: the answer is the second one

Step-by-step explanation:

9514 1404 393

Answer:

3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of addition

Step-by-step explanation:

The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.

Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.

For multiplication, the associative property can be written:

  (ab)c = a(bc)

This form matches the first of the choices shown:

  3(ab) = (3a)b

__

For addition, the associative property can be written:

  (a+b)+c = a+(b+c)

This form matches the second of the choices shown:

  (3 + a) + b = 3 + (a + b)

__

If you must select one answer, you need to know which associative property you're talking about.

polynomial time............

Answers

Answer:

I'm pretty sure its b

Step-by-step explanation:

I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.

hope this helped a little :))

Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?

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