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Alex Ar [27]
3 years ago
7

Ashlee would like to buy a sweater that cost 46.90. How much tax would she pay if the tax rate is 3%?

Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

Tax= $1.41

Step-by-step explanation:

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Theo has a cubic container. If the height of the container is 6 meters, what is the volume of the container
sattari [20]
Volume of a cube = l^3, where l is the side length (note that the length, width and height in a cube are equal)
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8 0
3 years ago
A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u
Arlecino [84]

Answer:

  • 12 ft parallel to the river
  • 6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . .  the length parallel to the river

_____

<em>Development of this relation</em>

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

  A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

 x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

  y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

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The y coordinate is 6 and the x coordinate is 4

I hope this helps!

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