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3 years ago

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In a rectangle the ratio of the length to the width is 5/6. If the width is 30, find the length.

2 answers:

beks73 [17]3 years ago

7 0

$\huge{\textbf{\textsf{{\color{navy}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}$

let length of the rectangle be x

so, from the question

$\frac{5}{6} = \frac{x}{30} \\$

by cross multiplication,

$150 = 6x \\ x = \frac{150}{6} \\ x = 25$

<h2>x = 25.</h2>

Thanks
Hope it helps

Over [174]3 years ago

4 0

Answer:

the length of the rectangle is 25

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According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi

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Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6

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3 years ago

Christina is saving for a new tablet it cost $70 including tax she has already saved $35 how much more does she need to save

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She needs to save $35.

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To find out how much more she needs, you take $70 and minus $35

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4 years ago

Company XYZ closed at $46.07 per share with a P/E ratio of 16.66. Answer the following questions.

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The amount of earnings per share is $2.77.

<h3>Earnings per share</h3>

a. Earnings per share = price per share / (P/E) ratio

Earnings per share = $46.07 / 16.66

Earnings per share= $2.77

B. Overpriced or underpriced stock

At P/E ratio = 12

Earnings per share = $46.07 / 12

Earnings per share = $3.84

Earning yield = ( Earning per share / market value )× 100

Earning yield = (3.84 / $46.07 ) × 100

Earning yield = 8.34%

At P/E ratio = 13

Earnings per share = $46.07 / 13

Earnings per share = $3.54

Earning Yield= (3.54 / 46.07 ) × 100

Earning Yield= 7.68%

At P/E ratio = 14

Earnings per share = $46.07 / 14

Earnings per share = $ 3.3

Earnings yield= ( 3.3 / 46.07 )×100

Earnings yield= 7.16%

Average of earning yield given P/E ratio is 12-14

Average of earning yield= ( 8.34 + 7.68 + 7.16 ) / 3

Average of earning yield= 7.73%

Earning yield = ( Earning per share / market value ) × 100

Earning yield= ( 2.77 / 46.07 ) ×100

Earning yield = 6.01%

Hence, Based on the above the stock is underpriced.

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2 years ago

The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h

Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

$V=L*W*H$

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

$V=x^{3\ }+11x^2+20x-32$

$W=x-1$

$H=x+8$

$L=?$

<u>Find the length of the box</u>

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

$x=-8\\x=-4\\ x=1$

so

$x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)$

therefore

<u>the answer is</u>

the length of the box is equal to $(x+4)$

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