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frutty [35]
3 years ago
10

Will mark brainliest for whoever answers

Mathematics
1 answer:
RSB [31]3 years ago
7 0
The answer is a I believe

I hope this helped :)
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The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has deter
crimeas [40]

Answer:

(a)R(x)=-0.02x^2+610x

(b)R'(x)=-0.04x+610

(c)R'(5400)=$394

Step-by-step explanation:

Given that x is the quantity demanded and the speaker's unit price (in dollars) is p where:

p = −0.02x + 610 (0 ≤ x ≤ 20,000)

(a)Revenue function R.

Revenue = Price X Quantity Demanded

Therefore:

R(x)=xp

=x(-0.02x + 610)\\R(x)=-0.02x^2+610x

(b)Marginal revenue function R'(x)

If R(x)=-0.02x^2+610x

Then, the marginal revenue function

R'(x)=-0.04x+610

(c)We want to compute R'(5,400)

R'(5400)=-0.04(5400)+610\\R'(5400)=394

From the above, we can infer that the revenue that will be generated on the sales of the 5401st item is $394.

5 0
3 years ago
At the movies, you order 3 boxes of popcorn and a bottle of water. The cost of the bottle of water is $1.75. Your total cost is
maksim [4K]

3w = $9.25 would be the equation in this case. In order to solve it, you must divide $9.25 by 3. $9.25 / 3 = $3.83 (repeating bar over the second 3). The cost of one box of popcorn is $3.83.

4 0
3 years ago
Read 2 more answers
A cereal company is exploring new cylinder-shaped containers. Two possible containers are shown in the diagram.x is 6 and r=4.5
KatRina [158]

Answer:

Container \rm X will have less label area than container \rm Y by about 9\; \rm in.

Step-by-step explanation:

A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.

Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of h and a radius of r at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width h and length 2\,\pi\, r.

Apply this reasoning to both cylinder \mathrm{X} and \rm Y:

For cylinder \mathrm{X}, h = 6\; \rm in while r = 4.5\; \rm in. Therefore, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 6\; \rm in, while
  • The length of the rectangle will be 2 \, \pi \times 4.5\; \rm in = 9\, \pi\; \rm in.

That corresponds to a lateral surface area of 54\, \pi\; \rm in^2.

For cylinder \rm Y, h = 10.5\; \rm in while r = 3\; \rm in. Similarly, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 10.5\; \rm in, while
  • The length of the rectangle will be 2\pi\times 3\; \rm in = 6\,\pi \; \rm in.

That corresponds to a lateral surface area of 63\,\pi \; \rm in^2.

Therefore, the lateral surface area of cylinder \rm X is smaller than that of cylinder \rm Y by 9\,\pi\; \rm in^2.

5 0
3 years ago
3/12 and 5/x are equivalent ratios. Solve for x
AleksandrR [38]
I hope this helps you


3/12=5/x


1/4=5/x


x=4.5


x=20
3 0
3 years ago
Read 2 more answers
A flower bed in your yard is in the shape of a right triangle. The perpendicular sides of the bed measure 14 feet and 11 feet. C
aev [14]

The area of the flower bed is 77 square feet

<h3>How to determine the area?</h3>

The given parameters are:

  • Shape = Triangle
  • Perpendicular sides = 14 feet and 11 feet

The area of the flower bed is calculated as:

Area = 0.5 * Product of perpendicular sides

So, we have:

Area = 0.5 * 14 * 11

Evaluate

Area = 77

Hence, the area of the flower bed is 77 square feet

Read more about areas at:

brainly.com/question/24487155

#SPJ1

3 0
2 years ago
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