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kumpel [21]
3 years ago
11

The Blankets ‘R Us Company sells hand-made blankets. The company is planning to print a catalog and send them out in a direct ma

il campaign. The cost of printing the catalog is $10,968.75 for setting up the presses plus $1.75 to print and mail each catalog. Each catalog that is mailed out generates $8.50 in revenue. (Hint: Use Goal Seek function) a) How many catalogs should be mailed out to break-even? b) How much revenue is generated at the break-even point? c) What is the profit if they mail out 2000 catalogs?
Mathematics
1 answer:
Ilya [14]3 years ago
5 0

Answer:

a) 1,625

b) $13,812.50

c) $2,531.25

Step-by-step explanation:

a) The number of catalogs required to break-even is the number for which revenues equal printing costs:

8.50n=1.75n +10,968.75\\n=\frac{10,968.75}{6.75}\\n=1,625

1,625 catalogs are needed to break-even.

b) The revenue generated at the break-even point is given by the revenue per unit multiplied by 1,625 units:

R = 1,625*\$8.50\\R=\$13,812.50

Break-even revenue is $13,812.50.

c) The profit of mailing out 2000 catalogs is determined as the revenue minus total costs at that output:

P=8.50n-1.75n -10,968.75\\P=6.75*2000 -10,968.75\\P=\$2,531.25

The profit is $2,531.25.

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2:6

3:9

4:12

These are all equivilant

4 0
3 years ago
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Your school wants to take out an ad in the paper congratulating the basketball team on a successful​ season, as shown to the rig
iogann1982 [59]

Answer:

x_1 =-14.43 in, x_2 = 2.426in

Since the measurement can't be negative the correct answer for this case would be x =2.426 in

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

A_i = 7 in *5 in = 35in^2

And we know that the initial area is a half of the entire area in red A_i = \frac{A_f}{2}, so then:

A_f = 2 A_ i =2*35 = 70

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

70 = (x+7) (x+5)

We multiply both terms using algebra and the distributive property and we got:

70 =x^2 +12 x +5

And we can rewrite the expression like this:

x^2 +12 x -35 = 0

And we can solve this using the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a = 1, b =12 and c=-35 if we replace we got:

x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}

And the two possible solutions are then:

x_1 =-14.43 in, x_2 = 2.426in

Since the measurement can't be negative the correct answer for this case would be x =2.426 in

3 0
3 years ago
Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the
bezimeni [28]

Answer: £784.08

Step-by-step explanation:

First find 1% of 800, which is 800/100=£8

800-8= £792 after 1 year

find 1% of 792, which is 792/100=£7.92

792-7.92= £784.08

6 0
3 years ago
A number plus itself, plus twice itself, plus 4 times itself is equal to -104
NARA [144]

The scenario will will be represented by: x+x+2x+4x=-104

The number will be -13

Step-by-step explanation:

We have to convert the given situation into the mathematical form

Let x be the number

Then

"a number plus itself"

x+x

"plus twice itself"

x+x+2x

"plus 4 times itself"

x+x+2x+4x

"is equal to -104"

x+x+2x+4x=-104

This can also be written as:

x+x+2x+4x=-104\\8x=-104\\Dividing\ both\ sides\ by\ 8\\\frac{8x}{8}=\frac{-104}{8}\\x=-13

Keywords: Linear Equation

Learn more about linear equation at:

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7 0
3 years ago
Sally was standing 30 feet from a tree. The angle of
QveST [7]

Answer: The tree was 27 feet tall

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Tan 38 = opposite/adjacent

Tan 38 = h/30

0.7813 = h/30

0.7813 x 30 = h

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We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4

Therefore the tree was 27 feet tall (approximately to the nearest foot)

5 0
3 years ago
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