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sweet [91]
3 years ago
8

A photographer uses an online service to sell some of his work. The amount of money he will make from selling 10 copies of the s

ame photograph is given by the expression below, where p represents the price determined for each copy: 10(0.75p - 0.5) According to this expression, which of the following most likely describes the agreement between the online service company and the photographer? A. The company keeps 25% of the amount paid for each copy and charges the photographer $0.50 for every copy purchased. B. The company keeps 25% of the amount paid for each copy and charges the photographer $0.50 for every 10 copies purchased. C. The company keeps 75% of the amount paid for each copy and charges the photographer $0.50 for every copy purchased. D. The company keeps 75% of the amount paid for each copy and charges the photographer $0.50 for every 10 copies purchased.
Mathematics
1 answer:
VLD [36.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

The expression representing the amount of money that the photographer would make from selling 10 copies is given as

10(0.75p - 0.5)

where p represents the price determined for each copy. Assuming the price charged per copy is $5, then the amount made from 10 copies is

10(0.75 × 5 - 0.5) = $32.5

It could have been

10(5 - 0.5) = $45

The price is being reduced by 25%(100 - 75)

Therefore, the option that most likely describes the agreement between the online service company and the photographer is

A. The company keeps 25% of the amount paid for each copy and charges the photographer $0.50 for every copy purchased.

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Answer:

1716 ;

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Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

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d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

8 0
3 years ago
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