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4 years ago

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even

1 answer:

8 0

P(x) = R(x) - C(x) Breaking even is the point where revenue starts to overtake cost. It is, therefore, the point where P(x) = 0. Since these are all linear functions, you know that after that point the business is profitable. P(x) = 0R(x) - C(x) = 015000x - (9000x+72000) = 015000x - 9000x - 72000 = 06000x - 72000 = 06000x = 72000x = 72000/6000x = 12 At 12 units the business breaks even.

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If a woman making $33,000 a year receives a cost-of-living increase of 2.5%, what will her new salary be?

Black_prince [1.1K]

The answer would be: 46200

3 0

3 years ago

3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third

den301095 [7]

Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

$2x + 3(x + 2) = 2(x + 4) + 55$

$= > 2x + 3x + 6 = 2x + 8 + 55$

Eliminating 2x from both the sides,

$= > 3x + 6 = 63$

$= > 3x = 63 - 6 = 57$

$= > x = \frac{57}{3} = 19$

So, the consecutive odd integers are = 19 , 21 & 23.

3 0

2 years ago

If six bags of coffee cost $43.92, how much will 15 bags of coffee cost?

Naily [24]

Answer:

43.92/6=7.32

7.32(cost per bag)*15=$109.80

6 0

4 years ago

Read 2 more answers

What is the solution to y-2x=3 & 3x-2y=5

timofeeve [1]

Answer:

x= -11;y= -19

Step-by-step explanation:

lets name y-2x=3 "A" ;

name 3x-2y=5 "B".

2A: 2y-4x=6

2A+B: (2y-4x)+(3x-2y)=6+5

2y-4x+3x-2y=11

-x=11

so x= -11

so A is : y-2 (-11)=3

y+22=3

y= -19

5 0

3 years ago

ANSWERRRR QUICKKKK PLEASEEEE

Brums [2.3K]

Answer: sqrt(2)/2 which is choice D

======================================================

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

------------

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

6 0

3 years ago