royalred just started production of a new synthetic motor oil they have overhead costs of $21,804.00 a month plus manufacturing costs of $4.99 per quart of oil the oil sells for $7.36 per quart and the company's profit per month can be determined by the function p(x)=2.37x-21,804, where x is the number of quarts of oil sold over which of the following intervals will the company be making a profit
a: 2,962, 10,580
b: 9,201, 18,860
c: 2,932, infinite
d: 9,200, infinite

Answers

Answer 1

Considering the given profit function, it is found that the interval of values of x for which the company makes a profit is:

d: 9,200, infinite.

What is the profit function?

Considering x as he number of quarts of oil sold, the monthly profit function is given by:

p(x) = 2.37x + 21,804.

The company makes a profit if p(x) > 0, hence:

p(x) > 0

2.37x + 21,804 > 0

x > 21,804/2.37

x > 9,200.

Which means that option D is correct.

More can be learned about functions at https://brainly.com/question/25537936


Related Questions

Assessment started: undefined. Item 1 What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box

Answers

The mean of the data set, 6, 11, 5, 2, 7, is: 6.2.

What is the Mean of a Data Set?

The mean of a data set is the average of the data points or the sum of all the data points divided by the total number of data points in the data set.

Given the data set, 6, 11, 5, 2, 7:

Mean = (6 + 11 + 5 + 2 + 7)/5

Mean = 31/5

Mean = 6.2

Therefore, the mean of the data set, 6, 11, 5, 2, 7, is: 6.2.

Learn more about the mean on:

https://brainly.com/question/19243813

Answer:

6.2

Step-by-step explanation:

which of the following fractions is NOT equivalent to the others?

A. 24/36
B. 8/12
C. 12/16
D. 4/6

Answers

Answer:

C

Step-by-step explanation:

Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.

A. 24/36 =  2/3 (LCF of 12)

B. 8/12 = 2/3 (LCF of 4)

C.  12/16 = 3/4 (LCF of 4)

D. 4/6 = 2/3 (LCF of 2)

Answer:

C

Step-by-step explanation:

if you convert all of the fractions into decimal form the only answer that is not .6667 is c

If the measure of angle 4 is 70 degrees, what is the measure of angle 1?

Answers

Answer:

angle 1= 110 degrees

Step-by-step explanation:

A line = 180 degrees

Since angle 1 and 4 make a line then both of them have to equal 180 degrees.

So, you would just subtract 180-70(angle 4)= 110 which gives you angle 1.

You could do the same with angle 4 and 3, angle 3 and 2, and angle 2 and 1 since they all form a line.

what is thecentre and diameter of the circle with equation
[tex]x {2} + {y2} - 2y + 1 = 16[/tex]

Answers

Answer:

The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38

Step-by-step explanation:

Let us consider θ = 22.5 º

Therefore, sin2θ =  [(1− cos 2θ) / 2] -------(1)

If θ = 22.5° then 2θ is 45°.

On substituting the value of θ in equation (1), we get

sin2 22.5° =  [(1− cos (2 × 22.5°)) / 2]

sin2 22.5° =  [(1− cos 45°) / 2]

sin2 22.5°=  [ [1 - (1 / √2)] / 2 ]

sin2 22.5°=  (2 - √2) / 4 [ on simplifying the above RHS value ]

sin 22.5° = [√(2 - √2) / 2]

After substituting the value of √2 as 1.414 in the above equation, we get

sin 22.5°= 0.38

») b. The area of the parallelogram is 65 ft2. What is its height? mm th 13 ft 13​

Answers

Answer:

Five feet

Step-by-step explanation:

H = A ÷ L

H = 65 ÷ 13

H = 5 ft

malamud and mohammed bought the same eight CD's but mohammed bought used CD's so each was half the price malamud paid. if the mean price malamud paid in $16 and the median is $16.50 , what are the mean and median prices for mohammed's CD's?

Answers

Answer: $8 , $8.25

Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )

What the answer rate you 5 star

Answers

Answer:

This is a net

Step-by-step explanation:

Good Luck!!

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Answers

Answer:

34? Idek

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

You pay 3. 5% annual simple interest for 12 years on a loan and you pay $1512 in interest. How much is the principal

Answers

Answer:

P = $1,064.79

Step-by-step explanation:

the equation we will use is P = A / (1 + rt), where P=principle, A=amount payed, r=rate(interest), and t=time. first convert the rate into a decimal (0.035) and then plug in the numbers into the equation P = 1512 / ( 1 + (0.035 × 12)) = 1064.79

40% of 400- how to solve please (thanks

Answers

Step-by-step explanation:

What is 40% of 400?

Convert the problem to an equation using the percentage formula: P% * X = YP is 40%, X is 400, so the equation is 40% * 400 = YConvert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = YDo the math: 0.4 * 400 = 160Y = 160So 10% of 150 is 160Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160
I hope this helps you to answer your question

12% of what number is 96? Enter your answer in the box.

Answers

Answer:

800

Step-by-step explanation:

96/12=8

8 x 100= 800

Answer:

Your answer is 800

Step-by-step explanation:

Solve the equation k^2-6k=11 by completing the square

Answers

Answer:

k = ±2√5 + 3

Step-by-step explanation:

k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3
Answer:

[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]

Step-by-step explanation:

[tex]k^2-6k=11[/tex]

_______________________________________________

Add one term in order to complete the square

[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]

________________________________________________

Calculate

[tex]k^2-6k+3^2=11+3^2[/tex]

_________________________________________________

Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex]

[tex](k-3)^2=11+3^2[/tex]

__________________________________________________

Calculate the power

[tex](k-3)^2=11+9[/tex]

___________________________________________________

Calculate the sum or difference

[tex](k-3)^2=20[/tex]

______________________________________________________

Split into two equations

[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]

________________________________________________________

Move variables to the left side of the equation:

                                 [tex](k-3=\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]

____________________________________________________

Move variables to the left side of the equation:

                               [tex](k-3=-\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

So far:

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

Find the union of the solutions

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

I hope this helps you

:)

On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the center of dilation. What is the length of the resulting segment ?

A-80

B-100

C-112

D-125

Answers

The length of the dilated line segment is 80 units.

What is dilation?

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]

The length of the dilated line segment is 80 units.

Find out more on dilation at: https://brainly.com/question/10253650

If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.

Answers

The cost of 1kg of coal mined from the ore is $0.0397

Data;

1 ton = $35.991kg = ?

The Cost of 1kg of Coal

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

[tex]1ton = 907kg\\[/tex]

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

[tex]907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397[/tex]

The cost of 1kg of coal is $0.0397

Learn more on proportions here;

https://brainly.com/question/870035

PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.

What is the volume of the snowball?

How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?

Answers

Answer:

Volume: 37.7cm3

It will melt in 21 minutes.

Step-by-step explanation:

Volume of a sphere: 4/3 x pi x r^2

4/3 X pi x 3^2 = 37.7cm3

37.7/1.8=20.943 minutes

In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.

Answers

Answer: sqrt(182)

Step-by-step explanation:

Use the definition of continuity and the properties of limits to show that the function k(x)= √8−x2 2x2−5 is continuous at x = -2

Answers

Voy a buscar el número y le digo el resultado

The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?

Answers

Answer:

22 feet

Step-by-step explanation:

The area of a circle is π · r².

So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.

Divide both sides by π to get r² = 121

Then, you take the square root of both sides to leave r = 11.

The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.

The diameter is 22 feet long.

Triangle ABC is graphed. (image included)
1) Transform triangle ABC using the rule (x,y) → (-x,y)
2) Describe the transformation precisely.

Answers

Answer:

see attachedthe figure is reflected in the y-axis

Step-by-step explanation:

1.

The given transformation moves each point horizontally to the same distance on the other side of the y-axis. This is shown in the attachment.

__

2.

The given rule ...

  (x, y) → (-x, y)

is the most precise description of the transformation. In English, it can be described as a reflection in the y-axis.

Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team.

Which statements are correct?

Select each correct answer.


The heights of the Warriors’ players vary more than do the Panthers’ heights.

The heights of the Buffaloes’ players and those of the Panthers vary about the same amount.

The heights of the Panthers’ players and those of the Warriors vary about the same amount.

The heights of the Buffaloes’ players vary more than do the Warriors’ heights.
Team Mean height (cm) MAD (cm)
Buffaloes 163 7.9
Panthers 179 8.1
Warriors 178 5.8

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

The heights of the buffaloes’ players vary more than do the warriors’ heights.

The heights of the buffaloes’ players and those of the panthers vary about the same.

Step-by-step explanation:
credit to km1329 in a comment

A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches×10 inches. What is the area of the figure?
Group of answer choices

132.5 in²

133.5

131.5

130.5

Answers

[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]

[tex]\sf are a \ of \ rectangle : Length * Width[/tex]

total area :

[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]

[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]

[tex]\rightarrow \sf 132.5 \ in^2[/tex]

solve pls brainliest

Answers

Answer:

2n+22

Step-by-step explanation:

22 more than twice a number

n represents the number.

twice a number --> 2n

22 more than --> +22

2n+22

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <

• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.


ANYWAYS, LETS ANSWER the QUESTION

“22 more than 2 twice a number”


• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!

“22 MORE THAN twice a NUMBER”


This could be simply written as:

“22 > 2n” or even “2n + 22”


But we will just say that’s [2n + 22] would mostly fit this scenario


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

HELP PLEASE
30 POINTS + BRAINLYEST!!!!!
(no links please)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use pi = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone

Can someone help with me

Answers

Answer:

yes your answer is 45 degree

Answer:

105°

Step-by-step explanation:

There 360° in a circle, so...

360°-150°-105°=105°

check: 150°+105°+105°= 360°

[Answer] 105°

someone explain how to do this please
A: square root of 96
B: square root of 48
C:square root of 16
D:8

Answers

You start by using the bottom side and dividing it by 2 as it is separated by a bisector making both sides equal. This isolates one triangle making the sides 4, 8, and x. You then use Pythagorean theorem and solve for x.

8 squared - 4 squared = 48
The next step is getting the square root of the result. Thus revealing B as the answer.

Answer:

B. Square root of 48

Step-by-step explanation:

Using Pythagorean theorem. A^2 = B^2 + C^2

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = square root of 48

(3.1×10^7)(5.8×10^−4) in scientific notation

Answers

Answer:

[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]

Solve the equation:
4x-x=600

Answers

Answer:

x=200

Step-by-step explanation:

4x-x=600

3x=600

divide by 3

x=200

to check your work:

4(200)-200=600

800-200=600

64, –48, 36, –27, ... which formula can be used to describe the sequence? f(x 1) = three-fourthsf(x) f(x 1) = negative three-fourthsf(x) f(x) = three-fourthsf(x 1) f(x) = negative three-fourthsf(x 1)

Answers

The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

The relation formula can be used to describe such sequence are,

[tex]f(x+1)=r\times f(x)[/tex]

Here, r is the common ratio.

The given sequence is,

[tex]64, -48, 36, -27, ...[/tex]

In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,

[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]

The common ratio of the sequence is -3/4. Put this value in the above formula as,

[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]

Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

Answer:

B

Step-by-step explanation:

edge

Which is the algebraic representative for a rotation 180 degrees clockwise?

Answers

Answer:

algebraic expression for 180 degree clockwise rotation about the origin (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin equals a 270 degree counterclockwise rotation 90 degree clockwise rotation equals a 90 degree counterclockwise rotation

Step-by-step explanation:

hope this helps

have an awesome day -TJ

HELPPPPPPP URGENT :L

Answers

Answer:

17.5

Step-by-step explanation:

The area for a triangle is (base*height)/2 this means

(5*7)/2 = 17.5 units^2

Answer:

Step-by-step explanation:

base = b = 5 units

height = h = 7 units

[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]

                           [tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]

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