A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458

Answers

Answer 1

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit y made by the company from selling each widget at x price is modeled by the equation:

[tex]y=-x^2+72x-458[/tex]

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:

[tex]\displaystyle x=-\frac{b}{2a}[/tex]

In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:

[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.


Related Questions

Please help me with this

Answers

Answer: V= (π/6)

V= (4/3) π (0.5)^3
V= (π/6)

Explanation: The formula for finding the volume of a sphere is, (4/3) πr^3. Plug in your radius and solve with your answer left in terms of π.

Which of these are a trinomial

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) [tex]c^2+c+6[/tex]

»»————- ★ ————-««  

Here’s why:  

A trinomial is a expression that consists of three terms. A term can be a number, variable, or both numbers and variables that are multiplied together. Answer choice 'D' has three terms, c², 'c', and '6'. Therefore, it is a trinomial.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the median for the following list of values:
1, 2, 4, 7

Answers

Answer:

3

Step-by-step explanation:

Since there are an even number of data points (there are 4 points), and since the data has already been written in ascending order, the median is the average of the middle two terms:  (2 + 4)/2 = 3

Answer:

Median: 3

Step-by-step explanation:

Median: the number in the middle

1, 2, 4, 7

Median is between 2, 4

Therefore, the median is 3

help pleaseee

find the equation of the line passing through (-5, -4) and (13, 5)

Answers

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-4) / 13 - (-5)

9 / 18

1/2

y = 1/2x + b

-4 = 1/2(-5) + b

-4 = -5/2 + b

-3/2 = b

Which of the following expressions represents the distance between-1/4 and 3/4

Answers

Answer:

|-1/4 - 3/4|

Step-by-step explanation:

To get the distance, take the absolute value of the second point minus the first point

| 3/4 - - 1/4|

|3/4 +  1/4|

We can also  take the absolute value of the first point minus the second point

|-1/4 - 3/4|

number 1 and 2 pls help me

Answers

1) C.75

Explanation: 180-105=75

2) A.110

Explanation: 38+32+x=180, x=110
1. C. 75

2. A. 110
hope this helps

151°

116°

135°

139°

101°

136° 164°

What is the value of x? PLEASE HELP

Answers

the value of x is 130

Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test. Write an inequality that models the situation.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{83+97+80+g}{4} \geq 85[/tex]

»»————- ★ ————-««  

Here’s why:  

The average is found by dividing the sum of the values by the number of values.

⸻⸻⸻⸻

[tex]\frac{83+97+80+g}{4} \geq 85[/tex]

⸻⸻⸻⸻

The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.

"At least" indicates a greater than or equal to inequality.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Use the Distributive Property to find 1/3×6 1/2.

ILL MARK YOU SOMETHING LIKE BRAINY GENIUS

Answers

Answer:

2 1/6 or 13/6

Step-by-step explanation:

Equation: [tex]\frac{1}{3}[/tex] × 6[tex]\frac{1}{2}[/tex]

Distribute: (1/3) ( 6 + 1/2)

(1/3)(6) + (1/3)(1/2)

2 + 1/6

2 1/6 or 13/6

the cost price of a dress is $640. At a sale 20% discount is given. What is the selling price of the dress.
A. $128,
B.$512
C. $660,
D. $768​

Answers

Answer:

512$

Step-by-step explanation:

640$-640$.20/100=512$

A line is parallel to 5x+2y-8-0 and has the same y-intercept as x+4y-12-0.
Find the equation for the line in slope y-intercept form

Answers

Answer:

y=(-5/2)x+3

Step-by-step explanation:

5x+2y-8=0

2y=-5x+8 Divide with 2

y=(-5/2)x+4

Slope is dy/dx

dy/dx=-5/2

x+4y-12=0 for x=0

4y-12=0

4y=12 Divide with 4

y=3 y-intercept

Line equation:

y = mx + b

This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept.

m-5/2 b=3

Euation for the your line:

y=(-5/2)x+3

Round 0.006772 to 1 significant figures.

Answers

Answer:0.007

Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.

0 is insignificant

If θ is an angle in standard position and its terminal side passes through the point (6,1), find the exact value of
sec

θ
secθ in simplest radical form.

Answers

Given:

θ is an angle in standard position.

Its terminal side passes through the point (6,1).

To find:

The exact value of secθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]

It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]

Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

isn't that the same as before? :D

Solve the equation. 9a = 81 what does a equal

Answers

Answer:

a=9

divide 81 by 9 on both sides and you get 9.

Step-by-step explanation:

Answer:

a = 9

Step-by-step explanation:

To solve this equation for a, divide both sides by 9.  

The result is a = 81/9, or a = 9.

Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?

A. 2x+ 1
B. 3x-5
C. 4x-1
D. 4x+6

Answers

Hi! I’m not positive, but I believe it would be D., 6 is the only one that is evenly divided by 3. Once again I’m not positive, I’m only a middle schooler so.... yeah.

Divide using long division! Show your work. As soon as possible!

Answers

Answer:

Step-by-step explanation:

if you've any doubt just ask :)

what is the distributive property of 6(14+7)

Answers

Answer:

126

Step-by-step explanation:

6 (14 + 7)

6 (21)

126

Can someone help me please TwT

Answers

The answer is A TwT ;)

It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.

Answers

Answer:

It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.

Step-by-step explanation:

Find A^c U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}

Answers

Answer:

Step-by-step explanation:

S={1,2,...,20}

A={1,2,3,4,5,6,7,8,9,10}

A^c={11,12,13,...,20}

B={2,4,6,8,7,10,12,16,18}

A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}

Plz help I'll give u brainlyest

Answers

Volume = l x h x w

Where length = 6 units
Height = 3 units
Width = 4 units

That means the volume is 6x3x4
Which is 72 cubic units

Someone help me with this one

Answers

Answer:

p' (4,-2)

Step-by-step explanation:

P is at ( -1,5)

We are moving it 5 units to the right so add 5 to the x

We are moving it 7 units down so subtract 7 from the y

p'( -1+5, 5-7)

p' (4,-2)

An architect drew plans for an office building.
The building will have the dimensions shown.

Building is made up of 2 cuboids. First cuboid has length as 10 ft, height as 12 ft and width as 10ft. Second cuboid has length as 10 ft, height as 30 ft and width as 10 ft.

Part A
Which is an expression for the total volume of the building?
A. (20 × 10 × 30) + (12 × 10 × 10)
B. (10 × 10 × 30) + (10 × 10 × 12)
C. (30 × 10 × 10) + (10 × 10 × 20)
D. (10 × 20 × 30) + (10 × 12 × 20)
Part B
What is the volume of the building? Enter your answer in the box.

ft3

Answers

Answer:

b

Step-by-step explanation:

Solve for x and show your work.
• GIVING BRAINLIEST!

Answers

tan 34 = 12/x and then uhm, put 12/tan34 into ur calculator

Find the measure of angle D

Answers

Answer:

Step-by-step explanation:

You can't see the picture really well

f(n) = 4n +7
Is it geometric or arthmetric

Answers

Answer:

geomatric

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

The difference between terms is constant

Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
Hoverboard - $125

Answers

What is the question here?
Your answer should be 668.75! I hope this helps

The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.

Write and solve an equation to find the number n of pages in the geometry book.

Answers

Answer: An equation is *629 = n - 99. The geometry book has 728 pages*

Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.

Hope this helps! :)

I need help thank you

Answers

Answer:

9 is the answer

Step-by-step explanation:

You will multiply 3x3 and 9x1 it will have the least common denominator

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