An online shopping club has 10,000 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.

Answers

Answer 1

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

[tex]R = -400x^{2} +7200x+70000[/tex]

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increase

How the variable [tex]x[/tex] represents the price increase, we can do the formula below:

[tex](10000 - 400x) * (7+x)[/tex]

In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:

[tex](10000 - 400x) * (7+x)[/tex]

We operate the values:

[tex]70000+10000x-2800x-400x^{2}[/tex]

Solve we can:

[tex]70000+7200x-400x^{2}[/tex]

And organize:

[tex]-400x^{2} +7200x+70000[/tex]

At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:

[tex]R=-400x^{2} +7200x+70000[/tex]


Related Questions

It takes Serina 8 hours to drive to Georgia. Her route is 4800 miles. What is Serina’s average speed?

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Answer:

time

Step-by-step explanation:

Answer:

Technically it is 600 mph but I think you meant 480 miles not 4800 miles but if it is 480 miles then 60 mph

Step-by-step explanation:

I think you made a typo.

what is 3x × -4x in algebra​

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Answer:

-12

Step-by-step explanation:

3x×-4x

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20% of __________ is 21. PLS HELP

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Answer:

105

Step-by-step explanation:

0.2(x)=21

x=21/0.2

x=105

Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?

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Answer:

176 ounces :)

Step-by-step explanation:

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Answer: 84 dollars

Step-by-step explanation:

The answer is 84....

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Answer:

use the calculator by doing this types of question

Answer:

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Step-by-step explanation:

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If r * s = s to the power of r, then 3 * 2 =​

Answers

Answer:

[tex]3*2=8[/tex]

Step-by-step explanation:

We know that [tex]r*s=s^{r}[/tex], and we want to find [tex]3*2[/tex] using this formula. To do this, notice that [tex]r=3[/tex] and [tex]s=2[/tex], so all we have to do is substitute the given values into the formula. Therefore:

[tex]r*s=s^{r}[/tex]

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Hope this helps!

Can someone help me? I don’t know how to solve it. Thank you!

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Answer:

C. 5x^2 - 8x + 13

Step-by-step explanation:

You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily

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Answer:

$8800 might be wrong on that not sure

At which value in the domain does f(x) = 0?

Answers

Answer: C (x=1)

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

The graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

Suppose Anthony Ianni attempted 18 baskets in a basketball game. If the ratio of baskets made to baskets missed is 1:5, how many baskets did Ianni make?

Answers

Answer:

Number of baskets Lanni make = 3 basket

Step-by-step explanation:

Given:

Total attempt = 18 times

Ratio(Basket make : Basket missed) = 1:5

Find:

Number of baskets Lanni make

Computation:

Number of baskets Lanni make = Total attempt x [Basket make ratio]

Number of baskets Lanni make = 18 x [1/(1+5)]

Number of baskets Lanni make = 3 basket

I need to know what this is

Answers

Answer:

[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]

3x(x-3)²/2(x+3)(x-2) is the right answer.

a square has an area of 1 square unit what is the length of the square

Answers

Answer:

The length is one

Step-by-step explanation:

The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1

If x is any real number, then x2 ≥ 1.

Select the correct answer.

x = -2.5
x = -1.5
x = 0.5
x = 1.5

Answers

The answer is D x=1.5

Answer:

x≤−1 or x≥1

Step-by-step explanation:

In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs?
Select all that apply
(2, 4), (6, 3), (5, 4). (7,3), (8.2)
A There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.

Answers

I believe it is A and C. There can only be one output and one input. (2, 4) and
(5, 4) have more than one output.

yine bookmarks
The measures of the angles of a triangle are shown in the figure below. Find the
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63
(4x-5)
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Answer:

Answers

Answer: 10

Step-by-step explanation:

5x+17+2x+3+90=180

7x+20+90=180

7x+110=180

7x=70

x=10

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Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3

Answers

Answer:

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

HOPE THIS HELPS!!!

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Answers

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

Each school bus going on the field trip holds 36 students and 4 adults. There are 6 field buses on the field trip. How many people are going on the field trip?

Answers

Answer:

240 people are going on the trip

Step-by-step explanation:

216 students and 24 parents

Joe has $20 to spend on two model cars and supplies to paint them. The paint supplies cost $4.00 Which expression shows how much he can spend on each model?

A. x ≤ $8
B. x ≥ $8
C. x ≤ $16
D. x ≥ $16

Answers

Answer:

So he has 20$ to spend.  He spends 4$ to paint them.  That means that after getting the supplies he would have 16$ left to spend on the cars.

Answer:

A. x ≤ $8

Step-by-step explanation:

John has $20He spends $4 on paint supplies

He can spend x dollars on each model and 2x on both:

2x ≤ 20 - 42x ≤ 16x ≤ 8

Correct choice is A.

On Sunday, Sheldon bought 412 kg of plant food. He used 123kg on his strawberry plants and used 14 kg for his tomato plants.

How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Answers

Answer:

275

Step-by-step explanation:

412kg - 123kg - 14kg = 275kg left

Because he used 275 kg out of 412kg

Select the correct answer.

Which expression in factored form is equivalent to this expression?

4(x2 – 2x) – 2(x2 – 3)

A. (2x − 3)(x + 1)

B. 2(x + 1)(x + 3)

C. (2x + 3)(x + 1)

D. 2(x - 1)(x – 3)



Took the test. This is the answer.

Answers

Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

Using the Factor Theorem, the factored form equivalent to this expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, the expression is:

[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]

[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]

[tex]2x^2 - 8x + 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].

Hence:

[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]

Hence, the expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

You can learn more about the Factor Theorem at https://brainly.com/question/24380382

Type the given number as a product of prime numbers. 135​

Answers

1,135,3,45,5,27,9,and 15

Answer:

the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs

List three examples of words/phrases that describe the mathematical operation of addition. (Example "Increased by") *

Answers

Answer:

Increased by, added, brought up (All I know of haha)

Step-by-step explanation:

Theres really no explanation to this other than learning your mathematical terms.

How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656

Answers

option 4 because all the numbers line up and i don’t know i just know that’s right

Answer:

21,656

Step-by-step explanation:

Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint

Answers

Answer:

You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment

Answers

Answer:

35

Step-by-step explanation:

Given that :

Number of balls = 8

Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)

Possibilities unt a blue ball is picked :

B, RB, GB, RRB, RGB, GRB, G

Draw 1 = B = 1

Draw 2 = B = 2C1 = 2

Draw 3 = B = 3C2 = 3

Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4

Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5

Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6

Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7

Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7

Taking the sum:

(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35

There are 35 elements in the sample space

can someone give me 500 pts and 5 brainliest

Answers

Answer:

No -_-

Step-by-step explanation:

wot why??- 0,0

.

/

.

/

.

/

What is 38 percent of 10 oranges

Answers

Answer:

The answer is 3.8

Explanation:

Move the decimal over once to the left.

Answer:

3.8 oranges.

Step-by-step explanation:

Step 1: Our output value is 10.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 10=100%.

Step 4: Similarly, x=38%.

Step 5: This results in a pair of simple equations:

10=100%(1).

x=38%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

10/x= 100%/38%

Step 7: Again, the reciprocal of both sides gives

x/10 = 38/100

---> x=3.8$

Therefore, 38% of 10 is 3.8

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