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Novosadov [1.4K]
3 years ago
7

And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell v

ery well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

P(x) = -0.25x^2 + 42x - 90

Step-by-step explanation:

Given

C(x) = -17x + 90

R(x) =- 0.25x^2 + 25x

Required

Determine the profit function.

Profit function is calculated as thus:

P(x) = R(x) - C(x)

So, we have:

P(x) = -0.25x^2 + 25x -(-17x + 90)

P(x) = -0.25x^2 + 25x + 17x - 90

P(x) = -0.25x^2 + 42x - 90

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How would you solve the equation 5x - 1 = 149?
PIT_PIT [208]

Answer:

30

Step-by-step explanation:

5x-1=149

5x=149+1=150

5x=150

x=150/5

x=30

3 0
2 years ago
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A right triangle has leg measures of 8 and 15 inches. What is the area and perimeter of the triangle?
rewona [7]

Hello!

<h3><em><u>Answer</u></em></h3>

The area of the right triangle is 30 in^{2}. The perimeter is 40 in.


<h3><em><u>Explanation</u></em></h3>

First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + 15^{2} = c^{2}

64 + 225 = c^{2}

√289 = c^{2}

17 = c

Now that we have all the side lengths, we can use the formulas to find the area and perimeter.

<h3>AREA:</h3>

A = \frac{bh}{2}

A = (15 × 8) ÷ 2

A = 30

<h3>PERIMETER:</h3>

P = a + b + c

P = 8 + 15 + 17

P = 40


8 0
3 years ago
At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students wa
77julia77 [94]

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

6 0
2 years ago
Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i
user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is V=l\times w\times h

Where, l is the length of the prism l=45 cm

w is the width of the prism w=12 cm

h is the height of the prism h=10 cm

Substitute the value in the formula,

V=45\times 12\times 10

V=5400\ cm^3

Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.

7 0
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Answer:he can read 1 and 3/12 or 15/12 books in an hour.

Step-by-step explanation:

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