1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
muminat
2 years ago
6

An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly

Mathematics
1 answer:
Sonja [21]2 years ago
4 0

Answer:

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

R = -400x^{2} +7200x+70000

Step-by-step explanation:

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

  1. 10,000 members
  2. $7 per month for membership
  3. Loses of 400 members by each $1 monthly increase

How the variable x represents the price increase, we can do the formula below:

  • (10000 - 400x) * (7+x)

In this formula, we represent in the first part that by each 1 in the variable x, 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 x. Now we must simplify this function:

  • (10000 - 400x) * (7+x)

We operate the values:

  • 70000+10000x-2800x-400x^{2}

Solve we can:

  • 70000+7200x-400x^{2}

And organize:

  • -400x^{2} +7200x+70000

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

  • R=-400x^{2} +7200x+70000

You might be interested in
When eight times an unknown number is decreased by 208 the result is four times the unknown number.
Naddika [18.5K]
I think

This is your typical algebra question where you are looking for an unknown value given some information. The information can be set up as:
8 - x = 4*(x +3)

Distribute the 4:
8 - x = 4x + 12

Rearrange to get variables on one side:
8 - 12 = 4x + x

Simplifiy:
-4 = 5x

Isolate the variable:
-4/5 = x
6 0
3 years ago
Find the Y intercept of the following quadratic function.​
-Dominant- [34]

Answer:

The Y-intercept is 6

Step-by-step explanation:

8 0
3 years ago
I will appreciate if you answer this problem,thanks
aliya0001 [1]

Answer:

None

Step-by-step explanation:

By graphing out the both line segments through graphing software, segments AB and CD have no intersections on the co-ordinate plane.

I've attached a screenshot of what i graphed out.

3 0
3 years ago
What is the length of BC¯¯¯¯¯ ?
svlad2 [7]

Hello!


The length of side BC can be found by using the Law of Sines. This law states,

a / sin A = b / sin B = c / sin C.


Given:

Angle A = 51.2 degrees

Angle B = 60.3 degrees

Side AC (or B) = 21 cm

Side BC (or A) = ? cm


Let's plug in these values into the formula to find the missing side length.


a / sin (51.2) = 21 / sin (60.3)

a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)

a = 24.1759 · sin (51.2)

a = 18.841...


18.841 can be rounded to 19.


Therefore, the length of side BC is equal to 19 centimeters.

5 0
3 years ago
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b
storchak [24]

Answer:

A task time of 177.125s qualify individuals for such training.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so \mu = 145, \sigma = 25.

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when Z = 1.285.

So

Z = \frac{X - \mu}{\sigma}

1.285 = \frac{X - 145}{25}

X - 145 = 32.125

X = 177.125

A task time of 177.125s qualify individuals for such training.

7 0
3 years ago
Other questions:
  • Divide Rs.300 between A and B in the ratio2:3
    9·1 answer
  • Let mAngleA = 40°. If AngleB is a complement of AngleA, and AngleC is a supplement of AngleB, find these measures. mAngleB = ° m
    7·2 answers
  • Write the equation of the graph shown below in factored form.
    7·1 answer
  • Let f(x) be a polynomial function such that f(−4)=−5,f′(−4)=0 and f′′(−4)=1. classify the point (−4,−5).
    7·1 answer
  • Log(5)=3-log(x) ????
    8·1 answer
  • What is the height of the pyramid??
    10·1 answer
  • The two-way table below shows the number of students in a school who like mathematics and/or physics: Like Mathematics Do Not Li
    5·1 answer
  • Given the functions below if h(x)=-1, find x<br> h(x)=-7x+20 <br> Find x
    6·1 answer
  • A jar of honey is $2.40. How much do 4 jars of honey cost
    9·2 answers
  • Pls slove this question
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!