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Len [333]
3 years ago
13

7. The startup cost for a boutique is $15,000, and each floral arrangement costs $17 for the boutique to make. If each arrangeme

nt is then sold for $25, after how many arrangements does the boutique break even?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

Answer:

1875 arrangements

Step-by-step explanation:

Break-Even is the point when costs are equal to profit.

The cost is 15,000

We need to cover this up with the profit we get from sales.

Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:

25 - 17 = 8

So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??

We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:

Number of Arrangements Needed to Break-Even = 15,000/8 = 1875

After 1875 arrangements, the boutique breaks even.

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Please help me it’s a formative grade
sergejj [24]

Answer:

Step-by-step explanation: 800/x=100/17

(800/x)*x=(100/17)*x       - we multiply both sides of the equation by x

800=5.88235294118*x       - we divide both sides of the equation by (5.88235294118) to get x

800/5.88235294118=x

136=x

x=136

83% of 800=664

5 0
3 years ago
Consider the sphere enclosed by the cylinder. If the diameter of the sphere is 12 cm, what is the volume of the cylinder? A) 36π
kogti [31]
To find the volume of a cylinder , you will use the formula
V = Bh, where B is the area of the circular base.
Pi x r^2 x h
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V = 432
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6 0
3 years ago
Read 2 more answers
The ratio of the angle measures of a triangle is 1:1:4. Classify the triangle by its angles.
IRINA_888 [86]
I think it would be obtuse triangle
5 0
3 years ago
Why do we use scientific notation, and what are the parts of an expression written in scientific notation?
kiruha [24]

Answer:

We use scientific notation as sometimes numbers are so so big, that it becomes inconvenient for us to write the actual number.

Step-by-step explanation:

For example, if you have 9 billion of something, you wouldn't want to write those 9 zeroes all the time.

When writing in scientific notation we count the number of decimal places to when we have one non-zero integer to the right of the decimal place. We then write that number and multiply it by ten to the number of decimal places you counted earlier.

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4 0
3 years ago
Read 2 more answers
1. Determine whether the lines given by the equations 2x + 3y = and y=3/2x+4
son4ous [18]

Answer:

1. Yes, the lines are perpendicular.

2. y=\frac{5}{4}x+6

Step-by-step explanation:

The first equation of Exercise 1 is incomplete. Let's assume that it is:

2x + 3y =n

Where "n" is a number.

First, it is important to remember that the equation of a line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

By definition, the slopes of perpendicular lines are negative reciprocals.

1 . If you solve for "y" from the first equation, you get:

2x + 3y =n\\\\3y=-2x+n\\\\y=-\frac{2}{3}x+\frac{n}{3}

You can identify that the slope is:

m=-\frac{2}{3}

The second equation of the line is:

y=\frac{3}{2}x+4

And its slope is:

m=\frac{3}{2}

Since the slopes are negative reciprocals, the lines are perpendicular.

2. Given the first equation of the line:

y= -\frac{4}{5}x+6

You can identify that:

m=-\frac{4}{5}\\\\b=6

Since the first line and the second one are perpendicular, you know that the slope of the other line is:

m=\frac{5}{4}

According to the information given in the exercise, both lines have the same y-intercept; therefore, the equation of the second line is:

y=\frac{5}{4}x+6

4 0
3 years ago
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