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
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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Please help guys this has to be do in 10:00 please help
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.
74,626,831.08 ROUNDED TO THE TENTH.
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.
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?
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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Which of the following options have the same value as
5% of 352
Choose 2 answers:
What decimal is equivalent to StartFraction 8 over 100 EndFraction
Answer:
8/100 is equivalent to 0.08
Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?
Answer:
13 gallons
Step-by-step explanation:
Area =
44 ft?
(x - 12) ft
(x - 5) ft
length:
width:
ft
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
Hom many TOTAL atoms are presented in H4Mg3Si2O9?
Answer:
I'm pretty sure it would be 18 total atoms.
Step-by-step explanation:
4+3+2+9=18
What is 4/5 divided 1/3
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
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
Can someone please help, ty!! (Will mark brainliest)
Answer:
Its the first one!!
Have A Nice Day!!!!!!
:)
How is the results?
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]
AAAAAAAAAAAAAAAAAAHHHHHHHHHHHH
Answer:
-216
Step-by-step explanation:
I think
brainlist plz
The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
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!
How old am I if 200 reduced by 4 times my age is 56
Answer:
Um, Reduce means divide sooo.... I think you'd be 100?
Step-by-step explanation:
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?
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
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.
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.
f(x) = x2. What is g(x)?
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?
Answer:
ewhyfreu62
Step-by-step explanation:
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
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
Simplify the given expressions.
(7−2)2−(2+1)(2−5)
The answer is 19. ( i think)
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?
Answer:
45
Step-by-step explanation:
equate the two equations
2/5=18/x
Answer:
45grams
Step-by-step explanation:
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!
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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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
[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]
Evaluate each expression if f= -6,9=7, and h=9. 10. g -7 11.-h-(-9) 12. f-g
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?
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%.
Evaluate the expression x+2y when x=2 and y=−2.5.
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
what’s the decimal expansion of 4/11
Answer: 0.36363636
Step-by-step explanation:
y=3x+22
x is equal to 225
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
Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.