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Roman55 [17]
2 years ago
8

For a certain company, the cost for producing x items is 35x+300 and the revenue for selling x items is 75x−0.5x^2

Mathematics
1 answer:
musickatia [10]2 years ago
3 0

The equation  set up is:

0.5x² - 40x + 15300 = 0

Cost, C(x) = 35x + 300

Revenue, R(x) = 75x - 0.5x²

Profit, P(x) = 15000

Profit = Revenue - Cost

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

15000 = 75x - 0.5x² - (35x + 300)

15000 = -0.5x² + 40x - 300

0.5x² - 40x + 15000 + 300 = 0

The quadratic equation to get the number of items sold is shown below:

0.5x² - 40x + 15300 = 0

Learn more here: brainly.com/question/15314537

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A rectangular safe can hold 5184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the sa
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Answer:

144 gold bars

Step-by-step explanation:

first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36

once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144

6 0
2 years ago
Roberto's toy car travels at 30 centimeters per second (cm/sec) at high speed and 20 cm/sec at low speed. If the car travels for
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1200 cm

Step-by-step explanation:

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2 years ago
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Ann, Emily, and Bob collect stickers. They have a total of 70 stickers in the ratio 2:3:5, respectively. How many stickers does
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Answer:

The stickers are divided by groups of

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2/10 * 70 = 14

3/10 * 70 = 21

5/10 * 70 = 35

14 + 21 + 35 = 70

So, the stickers are allotted to the 3 children in a group of

14 to one child, 21 to another child, and 35 to the third child.

Step-by-step explanation:

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2 years ago
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When the net is folded into the rectangular prism shown beside it, which letters will be on the front and back of the rectangula
earnstyle [38]
<h2>Answer:</h2>

<u>The correct option is </u><u>The letter on the front will be N. The letter on the back will be L. </u>

<h2>Step-by-step explanation:</h2>

When we fold the given net, we will get Q,P,M and N on sides. Side M will come to the top, side Q on the right side, side P on the left and side O on the bottom. The side which comes to the front will  be N of the observer and similarly the side L will come to the back of the rectangular prism.

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2 years ago
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1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is initially 5 mg per liter of wat
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Answer:

C(t)=5\cdot(0.9)^t

Step-by-step explanation:

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1

Substituting into the general equation:

C(t)=5\cdot(1-0.1)^t

Operating:

\boxed{C(t)=5\cdot(0.9)^t}

7 0
2 years ago
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