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kvv77 [185]
3 years ago
6

An online shopping club has 11,200 members when it charges $7 per month for membership. For each $1 monthly

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

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)

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You have to calculate how many combinations of 6 people can be chosen from 11.   The formula for this is:
n! / [r! * (n-r)!]
combinations = 11! / [6! * 5!] =
11 * 10 * 9 * 8 * 7 /  5 * 4 * 3 * 2 *1 =
11 * 3 * 2 * 7 =
462 Combinations

Source:
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What is the algebraic expression for the difference between seven times a number and three times that number"?
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3 years ago
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butalik [34]

Answer:

The  probability is  P(I  | \ L ) =0.4

Yes with the additional information that the person logs on everyday the probability increased from  P(I) =  0.3  to P(I |  L )  =  0.4

Step-by-step explanation:

From the question we are told that

   The probability that the user is from outside the country is  P(O) =  0.7

    The probability that the user log on everyday is  P(L) =  0.6

    The  probability that the user log on everyday and he/she is from inside the country  is  P(L| I) =  0.80

Generally using Bayes theorem the the probability that a person is from the country given that he logs on the website every day is mathematically represented as

        P(I  | \ L ) =  \frac{ P(L|I) *  P(I)}{ P(L)}

Here P(I) is the probability that the person log on every day and it is mathematically evaluated as

        P(I)  =  1 - P(O)

          P(I)  =  1 - 0.7

         P(I)  = 0.3

So

      P(I  | \ L ) =  \frac{ 0,8 *  0.3}{ 0.6}

      P(I  | \ L ) =0.4

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3 years ago
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