P(q) = -0.01(q - 250)(- 80)
The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q
cupcakes are produced. What is the best interpretation of the number 80 in this context?
80 is a number of cupcakes for which the profit is equal to $0.
B
80 is the number of cupcakes that corresponds to the maximum profit.
80 is the number of cupcakes that corresponds to the minimum profit.
880 is the maximum profit, in dollars.

Answers

Answer 1

Answer: 80 is the number of cupcakes for which the profit is equal to 0

Step-by-step explanation:

Answer 2

The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

What is Profit?

Profit is the amount which we earned after selling something at a price more than its cost price.

We have,

P(q) = -0.01 (q - 250) (q- 80)

Where,

P(q) = profit earned by a cupcake bakery  in dollars

q = cupcakes produced

So,

Now,

We have to find out the context of 80 in given equation,

So,

Lets substitute q = 80, in the given equation,

i.e.

P(q) = -0.01 (q - 250) (q- 80)

P(80) = -0.01 (80 - 250) (80- 80)

We get,

P(80) =  -0.01 (- 170) (0)

i.e.

P(80) = 0

So, 80 is a number of cupcakes for which the profit is equal to $0.

Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

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Related Questions

Answer in a flash!!!

Answers

Answer:

C

Step-by-step explanation:

As x moves towards infinity, the y value is constant, it never changes.

Answer:

The answer is C, it doesn't show a change

The length of a rectangle is 3 times the width. If
the length is decreased by 4m and the width is
increased by 1m, the perimeter will be 66m.
Determine the dimensions of the original rectangle.

Answers

Answer:

Length = 27 metresWidth = 9 meters

Step-by-step explanation:

I’m not sure but yes

State whether the indicated angle pairs are adjacent or not. An explanation would be nice, but you don't have to.

Answers

1. Yes, angles a and b have a common vertex (starting point) and a common side (the line between angle a and b). They do not overlap.

2. No, angles a and b share a common vertex but not a common side.

3. No. Same as above.

4. Yes, anlges a and b share a common vertex and side.

What is the slope of the line that contains these points? x=9,13,17,21 and y =-24,-21,-18,-15

Answers

Slope: 3/4
...................

6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden​

Answers

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

Please help me
If you move 5 meters south and then move 2 meters north what is the distance and displacement

Answers

Answer:

10

Step-by-step explanation:

HELP PLS :(

At a closed landfill, trash is decaying at a rate of 50% every 15 years.

Which type of function best models the amount of
trash that is remaining after x years?

linear
exponential
quadratic
cubic

Answers

Answer:

I believe it's linear

Step-by-step explanation:

don't quote me on that tho

Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?

Answers

Marcus mowed 5 lawns

Explanation: 75 divided by 15 = 5

The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.

Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590

Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.

Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.

Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.

Answers

Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The slope for account A is calculated as,

m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)

54 ≠ 60

Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).

The slope for account B is calculated as,

m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)

20 = 20

Account A is linear. The amount after 3 years will be $610 ($590 + $20).

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Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it

Answers

Answer:

Here a = 20,, b= 8

Step-by-step explanation:

Using Pythagoras theorem,

a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100

Answer:

a = 20, b = 8

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

(1)

a² + 15² = 25²

a² + 225 = 625 ( subtract 225 from both sides )

a² = 400 ( take the square root of both sides )

a = [tex]\sqrt{400}[/tex] = 20

(2)

b² + 6² = 10²

b² + 36 = 100 ( subtract 36 from both sides )

b² = 64 ( take the square root of both sides )

b = [tex]\sqrt{64}[/tex] = 8

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?


The area of the shade is
ft2.
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?


The area of the shade is
ft2.

Answers

Answer:

24ft.

Step-by-step explanation:

Formula: (LxW)/2

6x8=48

48/2=24

answer; 24

NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

The third one

Step-by-step explanation:

4 x 14.4^3 x pi

---------------------

         3

anyone help with this?

Answers

its answer choice a

Which expressions are equivalent to 7x - 14? Check all that apply.
A: 14 - 7x
B: x - 2
C: -(14 - 7x)
D: 7(x - 2)
E: 3x - 14 + 4x
F: 2x - 10 + 5x + 4

Answers

Answer:

c

d

e

Step-by-step explanation:

Calculate the distance the train will travel in 3/4 hour.

Answers

Answer:

what is the speed of the train? if that is miles per hour just figure out what 75% is of that number

Step-by-step explanation:

Find the surface area of the triangular prism shown below.

Answers

Answer:

the surface area is 544 square units

Step-by-step explanation:

the tringles first

12 x 8 = 96

base

12 x 14 = 168

sides

10 x 14 x 2 = 280

96 + 168 + 280

im going to break it down

000 + 100 + 200 = 300

90 + 60 + 80 = 230

6 + 8 + 0 = 14

300 + 230 = 530

530 + 14 = 544

The surface area of the triangular prism is equivalent to 330 units square.

What is a triangular prism?

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

Given is a triangular prism as shown in the image.

We can calculate the surface area of the triangular prism as follows -

A{P} = {2 x A(T)} + {2 x A(R)} + A{B}

A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}

A{P} = 12 x 8 + 2 x 140 + 14 x 12

A[P} = 4{3 x 2} + 2(7 + 6) + 280

A[P} = 24 + 26 + 280

A{P} = 330 units square

Therefore, the surface area of the triangular prism is equivalent to 330 units square.

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A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month?

Answers

Answer:

3 pounds per month

Step-by-step explanation:

22-4 = 18

18/6=3

HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE:)!!

Answers

Answer: C

The denominator is just the number on the bottom. In this case its [tex]2\sqrt{2}[/tex]

One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line.
a. (0, 3)
b. (-8, -3)
c. (0, -3)
d. (-8, -1)
e. (12, 12)

Answers

The answer is d. I believe it was for mine

please help!! will mark brainliest

What is the area of a circle whose radius is 54 feet?

The area is ___ ∏ ft²

Answers

Answer:

2916 pi ft

Step-by-step explanation:

Area of a circle: pi r ^2

54^2 = 2916

Hope this helps!

A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. If the lab contains 450 bacteria after 2 weeks, how many bacteria did the scientist initially create?

A,30
b.40
c.50
d.60

Answers

The answer A because 2 weeks equal 14 days and so you divide 14 by 450 and get 30

(18x 5 + 6x 4 - 12x 3) ÷ 6x 2

Answers

your answer would be 26.
if u want reasoning just ask!
If I am reading this correctly but I might not because those could be x’s not times. If you follow PEMDAS(please excuse my dear aunt sally helps you remember) you start with parentheses then move to exponents then do you multiplication and Divison and addition and subtraction. So (18 x 5 + 6 x 4 - 12 x 3) you start there 18 x 5 is 90, 6 x 4 is 24, 12 x 3 is 36 so then add 90 +24 which is 114 and then minus 36 from 114. Which is 78. After all that go to 6 x 2 which is 12 from there you would have 78 divided by 12 which equals 6.5. Hopefully that helps but since I could tell if the they were x’s or times.

(2+h)^4 is equal to what​

Answers

Answer:

16+32h+24h²+8h³+[tex]h^{4}[/tex]

Step-by-step explanation:

Determine the value of x (Different math problem)

Answers

Answer:

X=11

Step-by-step explanation:

5x+9+4x+5+7x-10=180°

5x+4x+7x+9+5-10=180°

16x+4=180°

16x=180°-4°

16x=176

X=11

soylindo del 1 al 10​

Answers

Answer:

6.5

Step-by-step explanation:

4(3x+2y) distributive property pls help

Answers

Answer:

[tex]12x+8y[/tex]

Step-by-step explanation:

1) Expand by distributing terms.

[tex]4*3x+4*2y[/tex]

2) Simplify 4*3x to 12x.

[tex]12x+4*2y[/tex]

3) Simplify  4*2y to 8y.

[tex]12x+8y[/tex]

Therefor, the answer is 12x + 8y.

The radius of the base of a right circular cone is 6 yards, and its slant height is 12 yards. If the radius and the slant height are each multiplied by 4, by what factor is the surface area multiplied?
A. 4
B. 8
C. 16
D. 24

Answers

The answer in this problem that you just have us is C

Answer:

the correct answer is C

Step-by-step explanation:

i took the test

Can some one help me answer this.

Answers

Answer: y= 0.0025

Step-by-step explanation:

Answer:

y= 0.0025

Step-by-step explanation:

every number in the y place is mutipled by four so to find y you need to divide 0.01 by 4

7,469.25 to the nearest cent

Answers

It already is to the nearest cent. 25 cents.

Answer:

0

Step-by-step explanation:


Find the value of x.

Answers

Answer:

x = 33

Step-by-step explanation:

x - 12 and 2x + 3 form a right angle , then

x - 12 + 2x + 3 = 90

3x - 9 = 90 ( add 9 to both sides )

3x = 99 ( divide both sides by 3 )

x = 33

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