Mathematics College

An online shopping club has 11,200 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function R
to represent the monthly revenue received by the club when x represents the price increase.
Hint: Monthly revenue = # members. monthly fee.

Answers

Answer 1

Answer:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)

Step-by-step explanation:

Monthly revenue = Number of members * Monthly fee ......... (1)

Where;

Number of members = 11,200

Monthly fee = $7

For each $1 monthly increase in membership fee, we have

For 1 month, one dollar the decrease = 400 * 1 = 400

For 2 months, 2 dollar increase will lead to decrease of 400* 2 = 800 members

Therefore, for x months

Innrease in membeship fee or price increase = 7 + x

Decrease in the numbers of members = 400x

Substitute the values into equation (1), we have:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)

Related Questions

What is the slope of the line below?

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2/3 that is the slope

Starting from the number you walked to in Part c, walk to the opposite of that number. Which number did you end up on? How many steps did you take?

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Answer:

The opposite number would probably be -3, and it'd take 6 steps. Sorry if this is wrong. If it is, I'll correct it! :)

Step-by-step explanation:

Jordan drives for three hours at an average of 60 miles per hour what is the distance in miles he drives during that time

Answers

Answer:

d = 180 miles

Step-by-step explanation:

Given that,

The average speed of Jordan, v = 60 mph

Time, t = 3 hours

We need to find the distance he drives during that time. Average speed is equal to the distance divided by time taken.

v = d/t

[tex]d=v\times t\\\\d=60\times 3\\\\d=180\ \text{miles}[/tex]

So, the distance driven during that time is 180 miles.

You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?

Answers

Answer:

you will need exactly 2.7 gallons of paint but if rounded you'll need 3 gallons

Step-by-step explanation:

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Answers

Answer:

10 students

Step-by-step explanation:

Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 4 from this group

Answers

Answer:

[tex]P_4= 0.2[/tex]

Step-by-step explanation:

From the question we are told that

Consider all seven-digit numbers

Created from the digits 0-9

Generally number of digits that starts with 6 is mathematically given as

The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10

The total amount of even digits within 0-9 (0,2,4,6,8) = 5

The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250

The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50

Probability the number starts with 4

[tex]P_4 = \frac{50}{250}[/tex]

[tex]P_4= 0.2[/tex]

Some states pay $0.05 for each can that is recycled. Which graph represents the amount of money earned, y, by recycling x cans in these states?

Answers

Answer:

The first picture/20 cans = 1 dollar

Step-by-step explanation:

Answer:

Step-by-step explanation:

Divide 6,580 ÷ 31
A.212 r 2
B.212 r8
C.214 r2
D.214 r 8

Answers

Your answer to the question is C.214 R2 hope you get it right

x² - 2x >0 solve this question

Answers

Answer:

x2 = x times x which is 2x and 2x means the same thing so x2 - 2x = 0 this is equation A , going to equation b on the other side ( 0 ) zero is zero no equation is needed therefore 0=0

Step -by-step explanation:

2 2/3 x 1 1/8
Multiply mixed fractions

Answers

Answer:

Step-by-step explanation:

Complete the calculations so that each shows the correct sum. (WILL MARK THE BRAINLIEST!!!)

Answers

Answer: a. 2.964 b. .262

Answer:

2.964

Step-by-step explanation:

Hope this helps!

827774 x 86567 x 87893087 x 878904 x 8907389 x 0 x 7890 x 7893 see if you can answer that nice job if u did

Answers

Answer:

Step-by-step explanation:

I need help ASAP!!!,

Which of the following would be a possible solution to the system of inequalities given below?

Answers

Answer:

Step-by-step explanation:

i just took the quiz plz mark brainliest

Find the slope of the line

Answers

Answer:

The slope of the line is 0, or undefined

Step-by-step explanation:

There is no action of rising or declning, therefore, it must be 0 or undefined.

The slope and the line is zero

How were salt and sugar represented differently in the simulation?

Answers

Answer:

Each state of matter behaves differently and the particles in each state behave ... Take a good look at the picture of the particles in a solid (table salt) above. You will ... What did you observe in the container immediately after the liquids were mixed?

Step-by-step explanation:

Is that what you were looking for?

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did u find out or no

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Answers

Correct me if I am wrong

Solve the Equation
-x+8+3x=x-6

x=-18
x=-14
x=2
x=4

Answers

Answer:

x= -14

Step-by-step explanation:

-x+8+3x=x-6

2x+8=x-6

2x-x=-6-8

x= -14

The value of x in the equation is -14

How to solve the equation?

We have:

-x+8+3x=x-6

Collect like terms

3x - x - x = -6 - 8

Evaluate the like terms

x = -14

Hence, the value of x in the equation is -14

Answers

Answer:

5 to 6 or 30 to 36

Step-by-step explanation:

15/3=5, 18/3=6, 15*2=30,18*2=36

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

The answer is decreasing and linear.Therefore B.Please mark me brainliest im 100% sure it’s the right answer.

Im so close please help

Answers

You were correct on your guess, C. Circumcenter

May I have brainliest please? :)

What will be the return value of =SUM({10;15;20;25;30})?

Answers

Answer:

The return value is 100

Step-by-step explanation:

Given

[tex]=SUM({10;15;20;25;30})[/tex]

Required

Determine the return value

In Microsoft Office Excel, the sum of values is represented as:

[tex]=SUM({a_1;a_2;a_3;.....;a_n})[/tex]

This is interpreted as:

[tex]SUM= a_1;a_2+a_3+.....+a_n[/tex]

So, in the case of:

[tex]=SUM({10;15;20;25;30})[/tex]

The return value is:

[tex]Value= 10 + 15+ 20 + 25 + 30[/tex]

[tex]Value= 100[/tex]

Hence, the return value is 100

Ten less than three times a number is 2.

Answers

Answer:

the number is 4

Step-by-step explanation:

4 times 3=12

12-10=2

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Answer:

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Step-by-step explanation:

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(0,10) (5,10) (-5,-10)

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Step-by-step explanation:

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Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

1. Isolate x in the first equation:

2. Substitute the value for x into the second equation:

3. Solve for y:

4. Substitute y into either original equation:

5. Write the solution as an ordered pair:

x = 7 – 3y

2(7 – 3y) + 4y = 8

14 – 6y + 4y = 8

14 – 2y = 8

–2y = –6

y = 3

x + 3(3) = 7

(, )

Answers

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

Answer:

-2,3

Step-by-step explanation:

Isolate x in the first equation:

Substitute the value for x into the second equation:

Solve for y

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Answers

Answer:

t=62

w=37

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Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor of all three terms. 24c + 36d + 18 =

Answers

Answer:

[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]

Step-by-step explanation:

Given

[tex]24c + 36d + 18[/tex]

Required

Factorize

[tex]24c + 36d + 18[/tex]

Expand each term

[tex]6*4c + 6 *6d+6 *3[/tex]

Factor 6 out of the expression

[tex]6(4c + 6d+3)[/tex]

Hence:

[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]

Answer:

6(4c+6d+3)

Step-by-step explanation:

A store pays $13 for a bicycle helmet and marks up the price by 40% what is the amount of the mark-up?

Answers

Answer:

Step-by-step explanation:

the amount of mark up is

13*(40/100)=5.20

I need help with This one

Answers

Answer:

1 and 2

Step-by-step explanation:

If y was 1: -2 x 1 + 18 = -2 + 18

= 16 This works

If y was 2: -2 x 2 + 18 = -4 + 18

= 14 This works

If y was 3: -2 x 3 + 18 = -6 + 18

= 12 This does not work since -2y + 18 has to be greater than 12.

Your answer would be 1&2 I hope this helps!!!!!!!!!

It is Moesha's birthday. Her mom gives her $10, and her dad gives her $15. Moesha uses her gifts to buy a doll for $20.
Both expressions below represent how much money she has left.
Expression 1: $10+ $15 - $20
Expression 2: ($10+ $15) - $20
Why is expression 2 better than expression 1 in representing Moesha's situation?
A Expression 2 stresses that the doll could not be bought without parents' gifts.
B Expression 1 separates the money that Moesha got as gifts from the money that she spent.
C Expression 2 shows Moesha's parents gave her a doll.
D Expression 1 does not solve to the correct amount of money that Moesha has left.

Answers

Answer:

the answer is B

Step-by-step explanation:

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