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Greeley [361]
3 years ago
10

Elana owns a consulting business that helps software companies market their services to school districts. She earns an average o

f $5687.1 for every contract one of her client companies signs with her help. In order to be able to run her business, she needs to cover $7,000/month (rent, licenses, etc.). The average costs associated with each contract are $1260.7. How many contracts must she facilitate each month in order to break even
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

2 contracts

Step-by-step explanation:

Break even point refers to the number of units or sales that needs to be generated for the company to make neither a profit nor a loss.

This means that at the break even point, sales is equivalent to the cost incurred (both fixed and variable).

Let the number of contracts that must be signed to break even be s

The rent is a fixed cost while the cost associated with each contract is variable.

5687.1s = 7000 + 1260.7s

5687.1s - 1260.7s = 7000

4426.4 s = 7000

s = 1.58

≈ 2

She must facilitate 2 contracts each month to break even.

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16/25 as a percentage
Vitek1552 [10]

Answer:

64%

Step-by-step explanation:

16/25 = 0.64

0.64*100 = 64

64%

7 0
3 years ago
The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).
o-na [289]

Answer:

S'(t) = 0.09t^2 + t + 9

S(2) = 24.24

S'(2) = 11.36

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

\frac{dS(t)}{dt} =S'(t) = 0.09t^2 + t + 9

S(2) is found by applying t=2 to S(t):

S(2) = 0.03*(2^3) + 0.5*(2^2) + 9*2 + 4\\S(2)= 24.24

S'(2) is found by applying t=2 to S'(t):

S'(2) = 0.09*(2^2) + 2 + 9\\S'(2) = 11.36

Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

8 0
3 years ago
I can’t explain look at picture
const2013 [10]

Answer:

x = 12.48

y = 13.22

Step-by-step explanation

Im not sure if its correct

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = √156

b = 12.48

b= 12 ( If needed to round to the nearest whole number)

a^2 + 15^2 = 20^2

a^2 + 225 = 400

a^2 = √175

a = 13.22

a = 13 ( If needed to round to nearest whole number)

3 0
2 years ago
What is the value of tan(60°)?
Ilya [14]

Answer: the square root of 3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Tell whether the lines through the given points are parallel, perpendicular, or neither?
Paha777 [63]

Slope\,\,1=\frac{-1}{slope\,\,2}

So, Both lines are perpendicular

Step-by-step explanation:

We need to identify if lines:

Line 1: (8,12)(7,-5)

Line 2: (-9,3)(8,2)

are parallel, perpendicular, or neither?

  • Lines are parallel if they have same slopes i.e slope 1= slope2
  • Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2

The formula used to find slope is:

Slope=\frac{y_2-y_1}{x_2-x_1}

Finding Slope of Line 1:

The points are: Line 1: (8,12)(7,-5)

x_1=8, y_1=12, x_2=7,y_2=-5

Putting values in the formula:

Slope\,\,1=\frac{y_2-y_1}{x_2-x_1}

Slope\,\,1=\frac{-5-(12)}{7-8}

Slope\,\,1=\frac{-5-12}{-1}

Slope\,\,1=\frac{-17}{-1}

Slope\,\,1=17

So, Slope of line 1 is 17

Finding Slope of Line 2:

The points are: Line 2: (-9,3)(8,2)

x_1=-9, y_1=3, x_2=8,y_2=2

Putting values in the formula:

Slope\,\,2=\frac{y_2-y_1}{x_2-x_1}

Slope\,\,2=\frac{2-(3)}{8-(-9)}

Slope\,\,2=\frac{2-3}{8+9}

Slope\,\,2=\frac{-1}{17}

So, Slope of line 2 is \frac{-1}{17}

Since Slope\,\,1=\frac{-1}{slope\,\,2}

So, Both lines are perpendicular

Keywords: Slope of Lines

Learn more about Slope of lines at:

  • brainly.com/question/9369548
  • brainly.com/question/4932386
  • brainly.com/question/4097107

#learnwithBrainly

7 0
3 years ago
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