A company determined that for each $1 increase in the price of their product, the

number of items sold will decrease by 2. Their predicted weekly profit with a

price increase of x dollars is represented by the function

f(x)= – 2x2+20x +150.


By how many dollars

should they increase the price of their product to

maximize their weekly profits?


15


200


150


5

Answers

Answer 1

Answer:

To have maximum profit, the price must be increased by 5,

Step-by-step explanation:

Given that the price increase function is:

f(x) = -2x² + 20x + 150,

For maximum profit, then f(x) = 0.

Putting f(x) = 0, we have

-2x² + 20x + 150 = 0

Or

x² - 10x - 75 = 0

(x + 5)(x - 15) = 0

x = -5

Or

x = 15

Again, differentiating f(x) and equating to zero, we have

-4x + 20 = 0

4x = 20

x = 20/4

= 5

To have maximum profit, the price must be increased by 5,

Answer 2
They would have to increase it by 5$ so that they can maximize their weekly profit!

Related Questions

Jill paid $36 for calendars marked down $5 apiece from the original price, she could have gotten 5 fewer calendars. How many cards did she buy

Answers

Answer:

she bought 7 cards

Step-by-step explanation

7x5=35 and im sure there is tax

She bought 7 cards .. I say that bc if you divide 36 and 5 you’d get 7 and 5x7 is 35


Calculate the surface area of a cube when the length of a side a = 15cm.
Surface area = 6a^2​

Answers

Answer:

[tex]\boxed{ \sf 1350 \ cm^2}[/tex]

Step-by-step explanation:

Surface area of a cube = 6a²

a = side length

The side length is given 15 cm.

[tex]6(15)^2[/tex]

[tex]6(225)[/tex]

[tex]1350[/tex]

The surface area of the cube is 1350 cm².

The surface area of the cube is 1350cm^2

5. Given that x=-2 is a zero of P(x)=2x3 + x² - 1 1x –10, factor
P(x) as a product of its linear factors. Then find the other zeros.

Answers

Step-by-step explanation:

x = -2 is a zero, so x + 2 is a factor of P(x).

Use grouping to factor.

P(x) = 2x³ + x² − 11x − 10

P(x) = 2x³ + 4x² − 3x² − 11x − 10

P(x) = 2x² (x + 2) − (3x² + 11x + 10)

P(x) = 2x² (x + 2) − (x + 2) (3x + 5)

P(x) = (x + 2) (2x² − (3x + 5))

P(x) = (x + 2) (2x² − 3x − 5)

P(x) = (x + 2) (x + 1) (2x − 5)

The other zeros are x = -1 and x = 5/2.

Pls answer I need help please give me an answer and a explanation

Answers

Answer:y=4x

Step-by-step explanation:

Answer:

4x = y

Step-by-step explanation:

Since we see that "X" multiplied by 4 is "Y" in every pattern,

we get the equation that 4 times of x (4x) is equal to the corresponding y.

and Thus we have the final answer of 4x = y.

Hope this helps!

A state highway department uses a salt storage enclosure that is in the shape of a cone, as shown above. If the volume of the storage enclosure is 48π m3, then what is the diameter of the base of the cone, in meters?

Answers

Answer:

Diameter of the base of the cone = 8 meters

Step-by-step explanation:

State highway department uses a salt storage enclosure which is in the shape of a cone.

Height of the storage in conical shape = 9 meters

Volume of the storage = 48π m³

Let the radius of this conical storage = r meters

Formula to get the volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here 'r' is the radius of the base of the cone and 'h' is the height of the cone.

Therefore, Volume = [tex]\frac{1}{3}(\pi ) r^{2}(9)[/tex]

[tex]48\pi=3\pi r^{2}[/tex]

r² = [tex]\frac{48\pi }{3\pi }[/tex]

r = [tex]\sqrt{16}[/tex]

r = 4 meters

Since, diameter = 2r

                          = 2(4)

                          = 8 meters

Therefore, diameter of the base of the cone = 8 metres

Answer:

Explanation: it’s just right

f(x)2x/x+3,x≠-3 can somebody please explain.

Answers

Answer:

x cannot equal -3 because if -3 is plugged in for x, there will be a zero in the denominator and you cannot divide by 0

it cancels out. the equal sign have a slash through there


The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

Answer:

  25%

Step-by-step explanation:

The ratio of rise to run is ...

  rise/run = 6 ft/24 ft = 1/4

Expressed as a percentage, this is ...

  1/4 × 100% = 25%

_____

Comment on this grade

Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.

um the person above me answered it

Find the slope of this graph

Answers

The answer is 3/2 you use rise over run , rise up 3 run 3, remember to pick 2 even points no points that look like they could be fractions . Whole numbers.
Option A. 3/2 is the slope of the graph

Which linear inequality is represented by the graph?
y


Answers

Answer:

the third one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is -8.64 -0.024?
360
- 36
-360
36​

Answers

Answer:

(-8.64) / (-0.024) = 360

Step-by-step explanation:

You have to type like this in your question;

(-8.64) / (-0.024)

or [tex]\frac{-0.024}{-8.64}[/tex].

Bye!

Your answer will be 360

Sam can paint the house in 7 days by himself, while Betty can paint the same house in 42 days. How long would it take Sam and Betty to paint the same house together?

Answers

Answer:

It would take 6 days for Sam and Betty to paint the same house together.

Step-by-step explanation:

Let x represent the time it takes ( in days ) to complete painting the house working together. Our approach here is to add the rates of the two people, equal to the total rate, or 1 / 7.

Sam's rate = 1 / 7 ( 7 days to paint 1 house ),

Betty's rate = 1 / 42 ( 42 days to paint 1 house )

1 / 7 + 1 / 42 = 1 / x - now let us solve for x, our solution

1 / 7 + 1 / 42 = 1 / x ( multiply either side by 42x )

7x = 42,

x = 42 / 7 = 6 days

I believe you would divide 42 by 7 and you would get 6

What is the value of (-3 + 3) + (-2 + 3)?
0-5 - 61
D-5 + Bi
5 + 61
5-61

Answers

the answer is 1 hope this helps :)

Answer:

1

Step-by-step explanation:

(-3 + 3) + (-2 + 3) =

= 0 + 1

= 1

If you're good at bearings please help meeeeee with full working out tyyyyyy

Answers

Letter B. Have a nice day
Bno. Is the correct answer

To make a large poster of the bill of rights to hang on the classroom wall, a poster that is 22 inches by 46 inches is copied. In the classroom version is to be 3 1/2 times scale, what are the dimensions of the new document? PLEASE ANSWER QUICKLY WILL GIVE BRAINLIEST WHOEVER ANSWERS FIRST!! MUST BE CORRECT!!!!

Answers

Answer:

77 inches by 161 inches

Step-by-step explanation:

This is because you need to multiply 22 by 3.5(3 1/2) and the answer you get is 77 then you multiply 46 by 3 1/2 and the answer you get is 161.

So the dimensions of the new document is 77 inches by 161 inches.

Please help me with this question. I need to submit today. Question number 4. Lhakpa is a name of the person.

Answers

Answer:

Known:

width: 1/3

length: 3/5

Ask:

the area of floor?

Solution:

We need to multiply the width and length first!

width × length

= 1/3 × 3/5

= 3/15

= 1/5

Next subtract the number of floor witch has full fraction 1/1, so

= 1/1 - 1/5

= 5/5 - 1/5

= 4/5

So, the area of the floor is 4/5

hope it helps ^°^

The Area of the Floor is 4/5

this is just a personal question if i have 47 assignments to do and i have to finish by the 20th of august how many do i need to do a day

Answers

Answer:

Hey there!

Today is August 7th, 2020.

Thus, August 20th is in 13 days.

If you have 47 assignments, you would have to do 3-4 a day to finish on time.

Hope this helps :) And good luck with your assignments.

Answer:

You have to do about 3 and a half assements a day.

Step-by-step explanation:

Just do 47 divides by 20 but since it is the 7th do 47 divides by 13

Have a nice day!

The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2008? A. 9%; $440.36 million B. 19%; $479.99 million C. 9%; $404.00 million D. 19%; $240.89 million

Answers

Answer:

A. 9%; $440.36 million

Step-by-step explanation:

Using A(1+r)t, we can subtract 1-1.09=.09*100=9%.

That means the projected annual growth is 9%

Now we can calculate the worth of the company by replacing t=8, 2008-2000=8

[tex]w=221(1.09)^8\\=440.356=440.36 million[/tex]

Answer is C 9%, $404.00

Please help me with this geometry question:((

Answers

Answer:

x = 13

RQ = 160°

Step-by-step explanation:

Inscribed angles are half the intercepted arc angle.

5x + 15 = ½ (RQ)

RQ = 10x + 30

Arc angles add up to 360°.

10x + 30 + 9x + 17 + 6x − 12 = 360

25x + 35 = 360

25x = 325

x = 13

Therefore, RQ = 160°.

X=13 that the answer to your question

The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units

Answers

Answer:

8.3

Step-by-step explanation:

To do this use the distance formula

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

First find the coordinates Jane (-5, -2) Friend (3, -4)

Now solve for d (8.246)

Answer:

10 units or approx. 8.25 units

Step-by-step explanation:

Jane's house is at coordinate (-5,-2) and her friend's house is at coordinate (3,-4).

You can find the answer in 2 ways.

1) Hypotenuse (the diagonal side or side across from the right angle) - approx. 8.25 units

2) Down and Side (go down 2 units and go side 8 units) - 10 units

Hope that helps and maybe earns a brainliest!

Have great day ahead! :)

Write the equation for the following table:
X. Y.
0 3
1 7
2 11
3 15

Answers

Answer:

[tex] y = 4x + 3 [/tex]

Step-by-step explanation:

The equation of the table of values given can be written as [tex] y = 4x + 3 [/tex] .

When x = 0,

[tex] y = 4(0) + 3 [/tex]

[tex] y = 0 + 3 = 3[/tex] this corresponds with what we have in the table above.

Let's try another.

When x = 2,

[tex] y = 4(2) + 3 [/tex]

[tex] y = 8 + 3 [/tex]

[tex] y = 11 [/tex]

This also corresponds with what we have in the table.

Therefore, the equation of the table given is [tex] y = 4x + 3 [/tex] .

y=4x+12 thats the equation

The large rectangle below represents one whole. What percent is represented by the shaded area? (URGENT)

Answers

Answer:

40%

Step-by-step explanation:

The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.

Set up a fraction:

[tex]\frac{\text{Shaded}}{\text{Whole}}=\frac{2}{5}[/tex]

Convert into a decimal:

[tex]\frac{2}{5}= 0.4[/tex]

Multiply the decimal by 100 to get the percent:

[tex]0.4*100=40[/tex]

So, forty percent of the rectangle is shaded.

Hope this helps.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percentage of the shaded rectangular boxes in the large rectangle is 40%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of rectangular boxes in the large rectangle = 5

Number of shaded rectangular boxes in the large rectangle = 2

The percentage of shaded rectangular boxes.

= 2/5 x 100

= 2 x 20

= 40%

Thus,

The percentage of the shaded rectangular boxes in the large rectangle is 40%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

wat is (12+6-5*3)*(2*2+1-7+2)=

Answers

Answer:

[tex]\huge\boxed{0}[/tex]

Step-by-step explanation:

First we have to do the operation of multiplication

=> (12+6-15)*(4+1-7+2)

Now, Solving the terms inside the brackets

=> (18-15)*(5-7+2)

=> (3)*(-2+2)

=> (3)*(0)

=> 0

Answer:

[tex]\Huge \boxed{{0}}[/tex]

Step-by-step explanation:

[tex](12+6-5*3)*(2*2+1-7+2)[/tex]

Solve brackets.

[tex](12+6-15)*(4+1-7+2)[/tex]

[tex](3)*(0)[/tex]

Multiply both numbers.

[tex]3 \times 0 = 0[/tex]

Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving. Graph the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes).

Answers

Answer:

Graph these two points: (0, 360), (30, 0)

Step-by-step explanation:

Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).

The straight line joining the points (0, 360) and (30, 0) will be the graph.

What is the equation of a straight line? What do you mean by domain and range of a linear function?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                              {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)     {Two point - slope form}

x/a + y/b = 1                                       {intercept form}

x cos(β) + y sin(β) = L                         {Normal form}

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.

We can write the equation of graph as -

y = - 12t + 360

At t = 0 -

y = 0 + 360

y = 360

and

at t = 30 minutes -

y = - 12 x 30 + 360

y = - 360 + 360

y = 0

The straight line joining the points (0, 360) and (30, 0) will be the graph.

Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Type the expressions as radicals
y3/5

Answers

Answer:

[tex]\sqrt[5]{y^3}[/tex]

Step-by-step explanation:

[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]

Simplify, what he said above!


Sasha deposited $1,400 in an account that pays 1.5% simple interest. She created a graph of her
account balance equation (A = Prt + P) with a slope of 21.

true or false?

Answers

Answer:

The answer is False.

I would agree. It would be false

What is the value of f(1)?

Answers

Answer:

A function normally tells you what y is if you know what x is.

Inverses. A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y. A function f -1 is the inverse of f if. for every x in the domain of f, f -1[f(x)] = x, and.

Whats 7 over 10m plus 9 plus 3 over 1 I need help

Answers

Answer:

12.7

Step-by-step explanation:

(7/10)+((9+3)/1)

(0.7)+(12)

12.7

12.7





Just took a test with this!!!

Someone pls help . Thank you sm ! i forgot how to do this lol .

Answers

Answer:

x = - 20, h = 34

Step-by-step explanation:

i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20

-32 = 2-h

+32 .  +32

0=34-h

+h .   +h

34=h

flip

h=34

X= -20 and H= 34 the first one you just carry the negative sign to the 20

-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]

We can disregard the units temporarily to create a ratio for 4.5 to 4:

4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:

2 · (4.5 : 4) = 9 : 8

Express as a fraction:

[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]

The answer is 9cm over 8cm

hey im sry if im asking to many questions i really want help

Answers

Answer:

V= 6,000 cm^3

Step-by-step explanation:

(15*20*10) + (10*20*15)

3000 + 3000

6000 cm^3

Answer:

6000 cm³

Step-by-step explanation:

20 * 10 * 15 + (20 * 10 * 15) = 6000 cm³

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