The revenue​ (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x

Answers

Answer 1

Answer:

[tex]Rate = 15[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 56 - 0.020x^2[/tex]

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]

In this case:

[tex]a = 1000[/tex]

[tex]b = 1050[/tex]

Now, we have:

[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

Calculating R(1050)

[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]

[tex]R(1050) = 58800-22050[/tex]

[tex]R(1050) = 36750[/tex]

Calculating R(1000)

[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]

[tex]R(1000) = 56000- 20000[/tex]

[tex]R(1000) = 36000[/tex]

So:

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

[tex]Rate = \frac{750} {50}[/tex]

[tex]Rate = 15[/tex]

The average rate of change is 12


Related Questions


Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
The district's nutrition manager is interested in determining if the program is effective. He takes two independent
random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
the mean amount of money, in dollars spent for the program. Which of the following statements concerning the
variability of the sampling distribution of the sample mean is correct?

Answers

Answer:

A

Step-by-step explanation:

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

What is the Nutrition?

Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.

How to determine?

Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

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what is .064 as a fraction?

Answers

.064 as a fraction would be 8/125

Answer:

8/125

Step-by-step explanation:

Eight over one hundred twenty five

1/10 (x + 11) = -2 (8 - x)

Answers

Answer: (5/8)x

Step-by-step explanation:

¹/₁₀(x+11) = -2(8-x)
multiply both side by 10

x + 11 = -20 (8-x)

x + 11 = -160 + 20x

11 + 160 = 20x-x

171 = 19x

x =9

12 is 150% of what number?

Answers

Answer:

8

Step-by-step explanation:

Answer: the answer is 8

Jenny bought a bag of cookies for a snack.She gave 2/5 of them to Tim.Time got 14 cookies out of the deal how many cookies came in a bag ?How many cookies did jenny have left to eat for herself ​

Answers

Answer:

There were 35 cookies in the bag, she kept 21 for herself and gave 14 to Tim.

Step-by-step explanation:

2/5 = 40%

14 ÷ 40% = 35

14 is 40% of 35.

35 - 14 = 21

I want cookiessss but 21??

Mike bakes 24 cookies for some friends. He gives the same number of cookies to 2 friends. How many cookies c does each friend receive? Write an equation to represent the number of cookies each friend receives.​

Answers

Answer:

12 cookies for both friends (assuming you don't get any)

Step-by-step explanation:

24/2=12

since you seem like a kid, that slash means divided by

A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight

Answers

Answer:

The answer is blah blah blah blah

4 unit squares each have of their area shaded. 7 What is the total area that is shaded? square units​

Answers

Answer:

hgb hfgb,rnvjdfjvfnvjfvjfjgv

Step-by-step explanation:

Find the measure of each missing angle. ​Subject: Geometry
Unit 5: Relationships in Triangles
Homework 1: Triangle Midsegments

Answers

Answer:

Q10

∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°

Q11

∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°

Measure of angles for figure 1:

∠1=36∠2=56∠3=124∠4=88∠5=36

Measure of angles for figure 2:

∠1=35∠2=145∠3=55∠4=125∠5=55

The angle is formed by two rays at a common point of the two rays.

For given figure 1:

∠1+144=180 (Sum of angles on same side of transversal is 180°)

∠1=180-144

∠1=36

∠5+144=180(Sum of angles on a line is 180°)

∠5=180-144

∠5=36

Similarly, ∠3=180-56

∠3=124

∠4+36+56=180(Sum of all angles of a triangle is 180°)

∠4=180-36-56

∠4=88

∠2+36+88=180

∠2=56

Thus, measure of angles for figure 1 are ∠1=36, ∠2=56, ∠3=124, ∠4=88, ∠5=36.

For given, figure 2:

∠1=35(Alternate angle on same side of transversal are equal)

∠2=180-35

∠5=180-35-90(Sum of all angles of a triangle is 180°)

∠5=55

∠4+55=180(Sum of angles on a line is 180°)

∠4=180-55

∠4=125

Similarly, ∠2=180-35(Sum of angles on a line is 180°)

∠2=145

∠3=180-35-90(Sum of all angles of a triangle is 180°)

∠3=55

Thus, measure of angles for figure 2 are ∠1=35, ∠2=145, ∠3=55, ∠4=125, ∠5=55

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What are acute and obtuse angles

Answers

Answer:

Acute angles are less than 90 degrees and obtuse angles are great than 90 degree angles.

Answer: an acute a is anything lower than 90 degrees. And obtuse is anything higher than 90 degree.

Step-by-step explanation:

Plz help will make brainliest

Answers

Answer: A or B is the correct answer i need brainlist so

Step-by-step explanation:

algebra pls help me:)

Answers

Answer:

900

Step-by-step explanation:

its easy

You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?

Answers

Answer:

(1000,   18000) is the answer

Step-by-step explanation:

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Answers

Answer:

the asnwer is c

Step-by-step explanation:

7)
2 1
Please help giving Brainly

Answers

Answer:

You should use MathPapa.

Step-by-step explanation:

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Answers

Answer:

pls add the table so i can answer

Step-by-step explanation:

Which statement describes this pair of congruent triangles?

Answers

H and N are congruent because they are both 58 degrees,

J and L are congruent because they are both 62 degrees,

and K and M are congruent because they are both 60 degrees.

Therefore triangle HJK is congruent to triangle NLM.

Answer:

The answer is C

Step-by-step explanation:

Kause i said so

LuANN is playing a math game. She chooses 3 cards. The value of her cards is hownn below
First card: -12
Second card: 3
Third card: -5
What was the sum of the value of LuANNS three cards?

Answers

I believe it is -14 :)

HELP
Write an equation in slope-intercept form for a line with a slope of -2 and a 8 points
y-intercept of 7. *

Answers

Answer:

y=-2x+7

Step-by-step explanation:

slope intercept form is equal to y=mx+c

where y is the y value

x is the x value

m is the gradient

and c is the y intercept

so the equation for this set of values is equal to

y=-2x+7

slope will be the m

and b is the y intercept

y=mx+b

y=-2x+7

Probability is the chance that some event will occur or a guarantee.

Answers

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

What is 38% of 12?
Please

Answers

answer: 4.56 :) (now i’m typing to make is 20 letters long)

Answer: 4.56

Step-by-step explanation:

When you come across questions that says [a of b] this means [ab]

If you are still confused, I can provide some examples:

10% of 10=10%×10=12/3 of 6=2/3 × 6=4

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

Given

38% of 12

Solve

38% × 12= 4.56

Hope this helps!! :)

Please let me know if you have any questions

Nine boys share 2 pizzas equally.

How many pizzas does each boy get?

Answers

Answer:

if the two pizzas has 8 slices each and there's 9 boys everyone has one pizza and some leftover

Step-by-step explanation:

Answer:

4/9th??? i think im wrong

Identify the rule for the transformation shown in the
figure that translates triangle ABC into triangle A'B'C'.

Answers

Answer:

(x,y) → (x +4, y + 2)

Step-by-step explanation:

9y-8x=63 How do I convert this into slope-intercept form?​

Answers

Answer:

turn it into y=mx+b

Step-by-step explanation:

get y alone

add 8x to both sides

9y=63+8x

divide both sides by 9

63/9=7 8x/9= [tex]\frac{8x}{9}[/tex]

simplify

y=[tex]\frac{8}{9}[/tex]x+7

Answer:

y = 0.8x + 7      or

y = [tex]\frac{4}{5}[/tex]x + 7

Step-by-step explanation:

The slope intercept formula is: y = mx + b

9y - 8x = 63

    +8x    +8x

=  9y = 63 + 8x

    9y/9 = 63/9 + 8x/9    ←                                                                                  

We're getting rid of the 9 beside the y, so we have to divde every number by 9.

=     y = 0.8x + 7     if you want the 0.8 as a fraction, it'll be [tex]\frac{4}{5}[/tex]

the graph of a quadratic function f passes through the origin and the maximum value of f is 5 when x=4 find f

Answers

Answer:(-5/16)x^2 +(5/2)x

Step-by-step explanation:

Find the slope of a line parallel to the line given

m=-7/8

A. 8/7
B. 7/8
C. -7/8
D. -8/7

Answers

the answer is C hope this helped

Which value of b will make the
Which value of b will make the inequality true?
b +2 < 20
A b< 18
B b < 22
C b > 18
D b > 22

Answers

Answer:

A

Step-by-step explanation:17+2<20

17 is the highest number b can be

X/4-5>-4 what is this please help

Answers

Answer:

4

Step-by-step explanation:

44 yeah yeah what about the other

please help me please i really need help please

Answers

It is the last choice. 4 teams with a total of 24 players

Answer:

There are a total of 24 players and 4 teams.

Please let me have brainliest :)


Tropical islands have many rainstorms during the afternoon heat. One particular tropical island has a 79% chance of a
rainstorm on any given afternoon. Abraham is planning a weeklong stay on this tropical island. Let X represent the
number of days there is an afternoon tropical storm that week. What are the mean and standard deviation of X?
O v. = 1.47,0, = 1.16
Own=3.5, 0x = 1.16
Oy.=5.53.0. = 1.08
O x =7,0, = 3.5

Answers

Answer:

C

Step-by-step explanation:

I got it right on Edge.

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