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masya89 [10]
3 years ago
15

A bookstore costs $120 a day to keep open, and it spends $14 for each book that it sells. 11

Mathematics
1 answer:
frozen [14]3 years ago
8 0

<u>Answer:</u>

The break-even point for this bookstore is 20 units

<u>Explanation:</u>

We know that break even point is given by the following formula,

$\frac{\text { Fixed costs }}{\text { (Price per unit - Variable costs) }}$

Here, we are given that bookstore costs $120 per day to keep open so fixed cost = 120$

Price per unit = price of each book =20$ and

variable cost = $14

Substituting these in the formula, we get

 $\frac{120}{(20-14)}$

=$\frac{120}{6}$   = 20

20 units which is the The break-even point for this bookstore.

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Which is steeper, a slide that rises 3 feet for every 2 feet of run, or a sliding pole that rises 5 feet for every 3 feet of run
mezya [45]

Answer:

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

Step-by-step explanation:

Step 1

Express the angle of inclination as follows;

Tan∅=H/R

where;

∅=angle of inclination

H=vertical rise

R=distance of run

Step 2

Determine the angle inclination when;

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R=2 feet

replacing;

Tan∅=(3/2)=1.5

∅=Tan^(-1)(1.5)

∅=56.31°

Determine the angle inclination when;

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R=3 feet

replacing;

Tan∅=(5/3)=1.67

∅=Tan^(-1)(1.67)

∅=59.03°

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

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atroni [7]

Answer:

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Step-by-step explanation:

The given equation is

y=(1/5)x+4

This is of the form

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In this case,

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you can see from the chart that this matches the red line.

If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5.  So, now we know that

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Since the line must go through the point (5,-4), we have

-4=(1/5)(5)+b

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y=(1/5)x-5

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umka2103 [35]

Answer: 450 Grams


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