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

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.

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

What is the slope of the line below?

Answers

2/3 that is the slope

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

Please give me brainiest

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!

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:

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:

I GIVEEE BRAINLILSTT

Answers

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

Answer:

htrhtfgntymy67n

Step-by-step explanation:

jrtyk,k5m7tk,kmm tyjtykmnty rjjmn67ktyjkumuymjty

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

hope this helps!

Answer:

it's 7!

Step-by-step explanation:

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!!!!!!!!!

15 to 18 =
What are 3 equivalent ratios for 15 to 18

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

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

Answers

Answer:

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]

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

HELPPPPPPPP IM STUCK

Answers

Answer:

10 students

Step-by-step explanation:

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:

Find the value of the missing angles.

Answers

Answer:

t=62

w=37

v=118

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

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:

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.

Need to solve help plz

Answers

Correct me if I am wrong

Im so close please help

Answers

You were correct on your guess, C. Circumcenter

May I have brainliest please? :)

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?

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:

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

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

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:

Function Operation helppppppppppp

Answers

did u find out or no

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:

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:

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