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Citrus2011 [14]
3 years ago
13

A company that sells cds spends 250$ dollars per week leading office space. The cds cost $3.75 each to produce and are sold for

$17.75 each. How may cds must the company produce and sell each momth to make a profit of at least $806 each month?
Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

129 cds.

Step-by-step explanation:

Given:

A company that sells cds spends 250$ dollars per week leading office space.

The cds cost $3.75 each to produce and are sold for $17.75 each.

Question asked:

How may cds must the company produce and sell each month to make a profit of at least $806 each month?

Solution:

As given:

Cost price of each cds = $3.75

Selling price of each cds = $17.75

Profit of each cds = 17.75 - 3.75 = $14

A company spends per week leading office space = $250

As we know: 1 month = 4 week

A company will spend each month leading office space = 4\times250=\$1000

A company make a profit each month of at least = $806

Therefore, he must earn by selling the cds each month = 1000+806=$1806

<u><em>Now, to find the number of cds, the company must produce, we will divide the total earning each month by each cds profit:-</em></u>

<u><em /></u>\frac{1806}{14} =129\ pieces \ of \ cds<u><em /></u>

Therefore, 129 cds must be produced and sold each month by the company.

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Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

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==========================================

Problem 19

Answer: Choice A) 134

----------

Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

----------

Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

==========================================

Problem 21

Answer:  99

----------

Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

==========================================

Problem 22

Answer: 116

----------

Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

==========================================

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

==========================================

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

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So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

==========================================

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

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This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

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