Select the correct answer from the drop-down menu.

A company sells its products to distributors and boxes of 10 units each. it's profits can be modeled by this equation, where p is the profit after selling n boxes.

p = -n² + 300n + 100,000

Use this equation to complete the statement.

The company breaks even, meaning the profits are only $0, when it sells _____ boxes.

Options for Blank:

A: 200 or 500

B: 500

C: 150

D: 200​

Answers

Answer 1

Answer:

B. 500

Step-by-step explanation:

Given the profit made by a company modeled by the function

p = -n² + 300n + 100,000

The company breaks even when p = 0

To get the number of boxes sold when the company breaks even, we will substitute p = 0 into the equation.

0 = -n² + 300n + 100,000

multiply through by -1

0 = n² - 300n - 100,000

n² - 300n - 100,000 = 0

(n² - 500n) + (200n - 100,000) = 0

n(n-500)+200(n-500) = 0

(n+200)(n-500) = 0

n+200 = 0 and n-500 = 0

n = -200 and n = 500

Since n cannot be negative

Hence n = 500

This means that the company breaks even when it sells 500 boxes


Related Questions

1. Using the geometry tools below, construct a copy of the line segment AB below.

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Answer:

1.) use a compass

2.) also use a compass

Step-by-step explanation:

The PDF will show you for number two

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The reciprocal of 3/17 is __?

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Answer:

17/3 or 5 and 2/3

Step-by-step explanation:

All you have to do to find a reciprocal of a fraction is swap the numerator and denominator. If it is a whole number, then that number will be under 1.

A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
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Answers

11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135

HELP PLEASE :(
Which inequalities have the solution set graphed on the number line? Select two options.

Answers

Answer:

2 & 5

Step-by-step explanation:

Answer:

It's 1 and 4

Step-by-step explanation:

Because the arrow is going to the left so that means x is less than -4 and those equations show that

Are the statements true or false?
Select True or False for each statement.

Statement True False

1/ 4 · 3/ 4 = 3 /4 · 1/ 4

3/4÷2/5=2/5÷3/4

Answers

false false false false false

Answer:

no the first on is true and the last one is false

Step-by-step explanation:

Can someone help me with this question

Answers

Answer:

[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x = \frac{1}{3} ( x - 1)\\\\ \\\frac{4}{3}x - \frac{4}{3} - \frac{2}{3} = \frac{4}{3} ( x - 1)\\\\( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3}) = -\frac{1}{3} ( x + 2)\\\\(\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} ) = \frac{1}{3} ( 4x - 1 )[/tex]

Step-by-step explanation:

Simplify each equation by combining like terms, and then factoring

[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x[/tex]

= [tex]\frac{1}{3} x + \frac{1}{3}[/tex]

= [tex]\frac{1}{3}[/tex] ( x + 1)

[tex]\frac{4}{3}x - \frac{4}{3} - \frac{2}{3}[/tex]

= [tex]\frac{4}{3}x - \frac{6}{3}[/tex]

= [tex]\frac{4}{3}[/tex] ( x - 1 )

[tex]\ ( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3})[/tex]

=[tex]-\frac{1}{3}x - \frac{2}{3}[/tex]

=[tex]- \frac{1}{3} x[/tex] ( x + 2)

[tex]\ (\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} )[/tex]

= [tex]\ \frac{4}{3}x - \frac{1}{3}[/tex]

= [tex]\(\frac{1}{3}[/tex] ( 4x - 1)

Answer:

Step-by-step explanation:

[tex]1)\frac{2}{3}x + \frac{1}{3}-\frac{1}{3}x = \frac{2}{3}x-\frac{1}{3}x +\frac{1}{3}\\\\\\=\frac{(2-1)}{3}x+\frac{1}{3}\\\\\\=\frac{1}{3}x+\frac{1}{3}\\\\\\=\frac{1}{3}(x+1)[/tex]

[tex]2) \frac{4}{3}x-\frac{2}{3}-\frac{2}{3}=\frac{4}{3}x + \frac{(-2-2)}{3}\\\\\\[/tex]

                    [tex]=\frac{4}{3}x -\frac{4}{3}\\\\\\=\frac{4}{3}(x-1)[/tex]

[tex]3) (\frac{1}{3}x+\frac{2}{3})+(\frac{-2}{3}x-\frac{4}{3})=\frac{1}{3}x-\frac{2}{3}x+\frac{2}{3}-\frac{4}{3}[/tex]

                                     [tex]= \frac{-1}{3}x-\frac{2}{3}\\\\\\=\frac{-1}{3}(x+2)\\[/tex]

4) [tex](\frac{2}{3}x +\frac{1}{3})+(\frac{2}{3}x-\frac{2}{3})=\frac{2}{3}x+\frac{2}{3}x+\frac{1}{3}-\frac{2}{3}[/tex]

                                    [tex]=\frac{4}{3}x-\frac{1}{3}\\\\\\=\frac{1}{3}(4x-1)[/tex]

                                     

PLEASE HELP ME!

An angle is 1/3 the measure of its complement. What is the measure of the angle, the complement and the supplement?

Answers

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

secx- cosx = sinx tanx

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex] \sec \: x - cos \: x = \sin \: x \tan \: x \\ \\ LHS = \sec \: x - cos \: x \\ \\ = \frac{1}{ \cos x} - cos \: x \\ \\ = \frac{1 - { \cos x}^{2} }{ \cos x} \\ \\ = \frac{ { \sin x}^{2} }{ \cos x} \\ \\ = \frac{ \sin \: x \times \sin x}{ \cos x} \\ \\ = \sin x \: tan x \\ \\ = RHS \\ \\ thus \: proved \\ [/tex]

Identify the quadrant in which each point is located.
A (5,1.75)
B(-5,-8)
C(2,3)
D (2,-3.5)
E (-4.5,3.75)

Answers

A) Quadrant 1

B) Quadrant 3

C) Quadrant 1

D) Quadrant 4

E) Quadrant 2

The price of an item has been reduced by 75%. The original price was $15. What is the price of the item now?

Answers

Answer:

3.75

Step-by-step explanation:

you can search this up going like 75% of 15 and it will give the answer before you hit enter

The answer is 3.75 :)

what are factors of 7​

Answers

Answer:

1 and 7

Step-by-step explanation:

What is the difference between 71.27 and38.86?

Answers

Answer:

32.41

Step-by-step explanation:

72.21 - 38.86 = ?

32.41

Hope this helps! <3

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

7 1 . 2 7

_- 3 8 . 8 6___

3 2 . 4 1

---> 32.41

Hope it helps you,

mark me as the brainliest.....

Follow me.......

What is y+1 = 4(x - 1) in slope-intercept form?

A. y+ 1 = 4x - 4
B. -4x+y=5
C. y = 4x-5
D. 4x- y=-5

Answers

would be y=4x-5

steps are

multiply 4 by everything in parentheses

y + 1 = 4x - 4

subtract 1 from both sides

y = 4x -5

Answer:

C. y = 4x-5

Step-by-step explanation:

Slope-intercept form : y=mx+b

[tex]y+1 = 4(x - 1)[/tex]

Expand :

[tex]4(x-1) =4x -4\\\\y+1 =4x-4[/tex]

Collect like terms and simplify

[tex]y=4x -4-1\\\\y=4x -5[/tex]

All I need is the slope and the equation also the y-intercept to help please!

Answers

Answer:

1) Slope; -10

Y-intercept; (0,60)

Equation; y=−10x+60

2) Slope;-1/2

Y-intercept; (0,0)

Equation; y=−1/2x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer:

1.)

slope: -10

y-intercept: 60

equation: [tex]y=-10x+60[/tex]

2.)

slope: [tex]-\frac{1}{2}[/tex]

y-intercept: 0 (the line passes through the origin)

equation: [tex]y=-\frac{1}{2} x[/tex]

Explanation:

To find your slope you can use the equation [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], plugging in the designated numbers from two ordered pairs you select from the chart.

Your y-intercept is the value found at y whenever x is equal to 0.

For your equation, you simply place your slope in front of x and add on your y-intercept.

What is the percentage of change from 400 to 300?

Answers

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

400*.25=100

400-100=300

Hope this helps!!

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Answers

1 ——> given
2 —-> vertical angles are equal.
3 —> substitution
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Solve. 5(x-3)+11=4(x+2)

Answers

Answer:

12

Step-by-step explanation:

[tex]5(x - 3) + 11 = 4(x + 2) \\or \: 5x - 15 + 11 = 4x + 8 \\ or \: x = 12[/tex]

how do u solve this its pre-algebra 4x – 5y = 20

Answers

Answer:

x = 5 + 5y/4

Step-by-step explanation:

I think its like this: 4x - 5y = 20

Add 5y to both sides: 4x = 20 + 5y

Divide both sides by 4: x = 20/4 + 5y/4

Simplify: x = 5 + 5y/4

I'm pretty sure it is like this

Hope this helps!

Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C , for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts? Record your answer and fill in the bubbles on your answer document.

Answers

Answer:

I might be wrong but I think the answer Is 234!

I hope you do Great!!

Step-by-step explanation:

Oak Grove and Salem are 78 km from
each other. How far apart would the cities
be on a map that has a scale of 1 cm: 13
km?

Answers

Answer:

690 km will take it.for good condition

Step-by-step explanation:

mark me BRAINLIEST

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2

Answers

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.

Answers

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

600 feet per hour. What is his
speed miles
in
per hour?

Answers

Answer:hi

Step-by-step explanation:

Simplify the expression. (x4y2)1/2 A) 2(x4y2) B) x1/8y1/4 C) x2y D) x8y4 Please help!!!

Answers

Answer:

C. [tex]x^2y[/tex]

Step-by-step explanation:

Given the expression [tex](x^4y^2)^{\frac{1}{2} }\\[/tex]

Using the law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](x^4y^2)^{\frac{1}{2} }\\\\= (x^4)^{\frac{1}{2}} (y^2)^{\frac{1}{2} }\\= x^{4*1/2}y^{2*1/2}\\= x^{2}y[/tex]

Hence the correct answer is [tex]x^2y[/tex]

What are Power functions

Answers

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

what is 9 + 10 x2 x 8

Answers

Answer:

169

Step-by-step explanation:

9 + 10 × 2 × 8

9 + ( 10 × 2 × 8)

9 + (20×8)

9 + 160

169

I am even. The sum of my digits is sixteen. Who am I?

Answers

Answer:

2, 4, 6, 8, 10, 12, 14

Step-by-step explanation:

8+8=16

6+10=16

4+12=16

2+14=16

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