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

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Related Questions

Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)

Answers

Answer:

y=-8

Step-by-step explanation:

First find the slope which is rise over run which equals (y2-y1)/(x2-x1)

(-8-(-8))/(9-(-2))

(-8+8)/(9+2)

0/11

slope = 0

Now you have the slope of 0. You can plug in one of the given point (x,y) to find b

-8=0(9)+b

-8=b

Combine everything

y=0x-8

y=-8

Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?

Answers

Answer:

ewhyfreu62

Step-by-step explanation:

In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5. What is the weight of silver in the alloy if there are 18g of gold?

Answers

Answer:

45

Step-by-step explanation:

equate the two equations

2/5=18/x

Answer:

45grams

Step-by-step explanation:

Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?

Answers

Answer:

13 gallons

Step-by-step explanation:

13 gallons that e answer

y=3x+22
x is equal to 225

Answers

9514 1404 393

Answer:

  y = 697

Step-by-step explanation:

Put the value of x into the equation and do the arithmetic.

  y = 3·225 +22 = 675 +22

  y = 697

Can someone please help, ty!! (Will mark brainliest)

Answers

The first one is the answer

Answer:

Its the first one!!

Have A Nice Day!!!!!!

:)

The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?

Answers

Answer:

20

Step-by-step explanation:

Answer:

-10, 0, 10, 20, 30, etc.

Step-by-step explanation:

There are multiple elevations greater than -20

If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!

Evaluate the expression x+2y when x=2 and y=−2.5.

Answers

Answer: -3

Step-by-step explanation:

If you plug in the numbers, the equation would look like: 2+2(-2.5)

Multiply 2 by -2.5 and you'll get -5 as your product. Add 2 and -5 together to get the sum of -3.

Answer:

‒3

Step-by-step explanation:

x+2y=2+2(‒2.5)

=2+(‒5)

=2‒5

=‒3

i hope it helps you

A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?

Answers

Answer:

I think that days is the most reasonable, sorry if I'm wrong

Step-by-step explanation:

So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.

4000 minutes = 240000 seconds

4000 minutes = 2.77777... days

4000 minutes = 0.007610350684932... years

Hom many TOTAL atoms are presented in H4Mg3Si2O9?

Answers

Answer:

I'm pretty sure it would be 18 total atoms.

Step-by-step explanation:

4+3+2+9=18

Silvi has a coupon for $5 off any one item at her favorite store. She must pay 6% sales tax on the discounted price. Which of the following functions represents Silvi's final cost, c, for an item with an original price of x dollars?

Answers

Answer:

vz

Step-by-step explanation:

The requried function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let's break down the problem into steps to determine the function that represents Silvi's final cost:

Apply the $5 discount to the original price x:

New price = x - 5

Calculate the amount of sales tax on the discounted price:

Sales tax = 0.06 * (x - 5)

Add the sales tax to the discounted price to get the final cost:

Final cost = (x - 5) + 0.06 * (x - 5)

Simplifying this expression, we get:

Final cost = 1.06x - 5.3

Therefore, the function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.

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Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.

Answers

r<-1 or r>(or equal to)10. So it would be the bottom left one

74,626,831.08 ROUNDED TO THE TENTH.

Answers

Answer:

74,626,831.1

Step-by-step explanation:

You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.

How is the results?

Answers

Answer:

[tex]26^9[/tex]

Step-by-step explanation:

When you multiply powers with the same bases, you just add up the powers. In this case, it would be:

[tex]26\cdot28^8\\=26^1\cdot28^8\\=26^9[/tex]

What is 4/5 divided 1/3

Answers

The answer would be 2.4, or in fraction form 12/5. Please mark brainliest <3

AAAAAAAAAAAAAAAAAAHHHHHHHHHHHH

Answers

Answer:

-216

Step-by-step explanation:

I think

brainlist plz

what’s the decimal expansion of 4/11

Answers

Answer: 0.36363636

Step-by-step explanation:

Please help guys this has to be do in 10:00 please help

Answers

she drank 14 ounces of her water, she has 28 ounces left, just divide 42 by 3

Answer:

1)14oz

2)28oz

Step-by-step explanation:

1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)

42*1/3=14

So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.

So that means she has 28 oz of water left when she gets there.

PLZ HELP ill make brainleist to the correct awnser −2 1/2÷6


−2 1/6

−5 1/2

5 1/2

2 1/6

Answers

Answer: -7/4

Step-by-step explanation: u juss simplify -21/2/6 and get -7/4

Answer:A

Step-by-step explanation: The answer above me is wrong, it’s not even an answer choice, but I got my answer by using a calculator

Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.

Answers

Step-by-step explanation:

Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.

Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2​

Answers

[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]

[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]

[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]

[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]

What decimal is equivalent to StartFraction 8 over 100 EndFraction

Answers

Answer:

8/100 is equivalent to 0.08

It is 0.08 I agree with the person answer above just show evidence

Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!

Answers

Answer:

124.35 X 6.75

Step-by-step explanation:

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.

The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

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How old am I if 200 reduced by 4 times my age is 56

Answers

Answer:

Um, Reduce means divide sooo.... I think you'd be 100?

Step-by-step explanation:

f(x) = x2. What is g(x)?

Answers

i believe the answer is (1/2x)^2 (answer choice D hope this helps!

Which of the following options have the same value as
5% of 352
Choose 2 answers:

Answers

Where are the options ? But I know 5% of 352 = 17,6

Evaluate each expression if f= -6,9=7, and h=9. 10. g -7 11.-h-(-9) 12. f-g​

Answers

Answer: 10

Step-by-step explanation:

if u take -6 and add it to 9 and 7 u get 10

The sixth-graders at Scott's school got to choose between a field trip to a museum and a field trip to a factory. 57 sixth-graders picked the museum. If there are 100 sixth-graders in all at Scott's school, what percentage of the sixth-graders picked the museum?

Answers

Answer:

57%

Step-by-step explanation:

because percentages go up to a hundred so 57 would be 57%.

Answer:

57%

Step-by-step explanation:

The answer is 57%. The reason is because when we are talking about percentage, it always out of 100. 57 out of 100, you would make that into a fraction so it would be 57/100. You would then divide 57/100 to get 0.57. Move the decimal two places to the right to get 57%.

Area =
44 ft?
(x - 12) ft
(x - 5) ft
length:
width:
ft

Answers

Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

 

inverse operations

x^(2) - 17x + 60 = 44

                - 60     - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

Simplify the given expressions.

(7−2)2−(2+1)(2−5)

Answers

Answers 19 hope it helps you :)!

The answer is 19. ( i think)

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