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Hitman42 [59]
3 years ago
9

You purchased xyz common shares for $45 per share one year ago. one year later aftering receiving $4 dividend per share, you sol

d your stock at $48 per share. what is your total return for the one year period?
a. 14.58%
b. 8.89%
c. 15.56%
d. 6.67%
Mathematics
1 answer:
Pepsi [2]3 years ago
7 0
<span>The return for the investment is C, or 15.56%. You add the dividend and the capital gain, $4+$3=$7, and then divide by the initial investment price, or $45. 7/45=.1556, or 15.56%.</span>
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If 3x + 6y = 7z, find x + 2y in terms of z.
o-na [289]

Answer:

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3 years ago
I have school in 2 hours and i really need help
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Answer:

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Numbers that multiply to -168 and add to 17
Fudgin [204]
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5 0
3 years ago
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
The question is in the picture.
harkovskaia [24]

Answer:

1. 3sqrt(2)

Choice C

2. 2sqrt(3)

Choice D

Step-by-step explanation:

1.  sqrt(x+3)

sqrt(15+3)

sqrt(18)

sqrt(9*2)

sqrt(9)sqrt(2)

3sqrt(2)

Choice C


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6/sqrt(3)

no radicals in the denominator, multiply by 1 in the form of the radical

6/sqrt(3) * sqrt(3)/sqrt(3)

6sqrt(3)/ (sqrt(3)*sqrt(3))

6sqrt(3)/3

2sqrt(3)

Choice D


8 0
3 years ago
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