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Natasha2012 [34]
4 years ago
9

The function D ( p ) D(p) gives the number of items that will be demanded when the price is p. The production cost, C ( x ) C(x)

is the cost of producing x items. To determine the cost of production when the price is $5, you would:
A. Solve C(D(p)) = 7 for p
B. Evaluate D(C(7))
C. Evaluate C(D(7))
D. Solve D(C(x)) = 7 for x
Mathematics
1 answer:
ipn [44]4 years ago
6 0

Answer:

C(D(5))

Step-by-step explanation:

Given:

D(p): Items demanded when price is P

C(x): Production cost of x items

Required

Cost of producing when price is $5

First, we need to get the number of items demanded;

To do this, we substitute 5 for P in D(p)

This gives;

D(5)

Next, we determine the production cost;

To do this, we substitute D(5) for x in C(x)

This gives;

C(D(5))

<em>None of the listed options answer the question</em>

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Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

8 0
3 years ago
Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
ivann1987 [24]

Answer:

Number of months spent in first gym = 9

Number of months spent in second gym = 3

Step-by-step explanation:

Let she spent x months in a year at first gym and y months in a year at second gym

Now, there are 12 months in one year

⇒ x + y = 12

y = 12 - x .......(1)

Now, total money she spent in one year = $825

⇒ 75·x + 50·y = 825 .........(2)

Putting value of y from equation (1) in equation (2)

75·x + 50·(12 - x) = 825

⇒ 75·x - 50·x + 600 = 825

⇒ 25·x = 225

⇒ x = 9

Now, putting this value of x in equation(1)

⇒ y = 12 - 9

⇒ y = 3

Hence, number of months spent in first gym = 9

And number of months spent in second gym = 3

7 0
4 years ago
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Yuliya22 [10]

Answer:

52

Step-by-step explanation:

Of means multiply and is means equals

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Changing to decimal form

.25W =13

Divide each side by .25

.25W/.25 = 13/.25

W =52

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