Home Depot entered fiscal 2017 with a total capitalization of $21,904 million. In 2017, debt investors received interest income of $877 million. Net income to shareholders was $8,654 million. (Assume a tax rate of 21%.)



Calculate the economic value added assuming its cost of capital is 10%. (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

Order of the given expression into smallest to largest are as follow:

[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}[/tex]

As given in the question,

Given expressions are as follow:

[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}[/tex]

Arrange them in the order of smallest to largest by simplifying them,

[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}[/tex]

          = 0.5

[tex]\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}[/tex]

          =0.45

[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}[/tex]

           = -0.125

[tex]\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}[/tex]

            = -0.1128

-0.125 < -0.1128 < 0.45 < 0.5

Therefore, order of the given expression into smallest to largest are as follow:

[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}[/tex]

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The required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.

Given that,
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of miles be m,
Cost of the taxi of m miles = 3.50m
according to the question,
2.50 + 3.50m = 79.50

Thus, the required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.

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The temperature at 6000 meters would be -21.9°C.

The lapse Rate refers to the rate of decline in air temperature with relation to increase in altitude.

Here, the lapse Rate is given as follows-

for 0-1500 meters: 5.5 °C/1000m

for 1500-4000 meters: 12.1°C/1000m.

and above 4000 meters: normal lapse rate

The Normal lapse Rate is 6.5°C per 1000 meters.

Now,

surface temperature at sea level = 29.6°C

the decline in temperature up to 1500m would be-

5.5°C/1000×1500 = 8.25°C

So the temperature at 1500 meter is 29.6 - 8.25 = 21.35°C

Further, the decline in temperature up to 4000m would be-

12.1°C/1000×2500= 30.25°C

So Temperature at 4000 meters is 21.35 - 30.25 = -8.9°C

Now, above 4000 meters, decline in temperature would be-

6.5°C/1000×2000= 13°C

So temperature at 6000 meters would be

-8.9°C - 13°C = -21.9°C

Thus, the temperature at 6000 meters would be -21.9°C

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by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.

We are given a sequence:

3 / 4, 2 / 3, 5 / 8, 3 / 5

We need to find the next two terms by using the inductive reasoning.

Now, we can also write this sequence as:

3 / 4, 4 / 6, 5 / 8, 6 / 10

Now, we can see that, in each term, the numerator is increasing by 1 and the denominator is increasing by 2 units.

So, the 5th term will be:

Numerator = 6+ 1 = 7

Denominator = 10 + 2 = 12

5th term = 7 / 12

And the 6th term will be:

Numerator = 7 + 1 = 8

Denominator = 12 + 2 = 14

6th term = 8 / 14 = 4 / 7

Therefore, by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.

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Answer:

Use 12 boxes of rice

Step-by-step explanation:

4/13 becomes x/39

to get from 13 to 39 you multiply 13 by 3 so you do the same to 4

3*4 is 12

Answer: three seven and two

Step-by-step explanation:

The percent of error to the nearest hundredth percent is 16.82 % when the estimated mass is 500 g and the actual mass is 428 g.

We are given that:

Some students estimated that a small block of Copper will have the mass = 500 g

Estimated mass = 500 g

But now, the actual mass was found out and it came = 428 g

Actual mass = 428 g

The error in estimation was:

Error = 500 g - 428 g

Error = 72 g

Percentage of error = 72 g / 428 g × 100

Percentage of error = 7200 g / 428 g %

Percentage of error = 16.82 %

Therefore, we get that the percent of error to the nearest hundredth percent is 16.82 %.

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Answer:

Addition and multiplication both use the associative property, while subtraction and division do not.

Step-by-step explanation:

Answer:

subtraction doesn't have the associative property. If we subtract the first two numbers, 10 minus 5, it gives us 5. If we move on to subtract 3, it gives us 2. However, if we subtract the last two numbers first, 5 minus 3 is 2.

Answer:

20.02

Step-by-step explanation:

maths calc

The best description of range is (b) The y-values on a graph.

A graph is characterized by the following concepts:

The domain of a function is the set of input values of the graph

On the other hand, the range of a function is the set of output values of the graph

This in other word means that the range is the y-values on a graph.

Hence, the best description of range is (b) The y-values on a graph.

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Answer:

its B

Step-by-step explanation:

the y values on the graph

i did the quiz and got a 100

Answer: 7.93

Step-by-step explanation: I am not sure if this is correct but I really hope it helps.

The measure of both angles A and B

Angle A= 16(7.8)+5= 129.8

Angle B =13(7.8)+4= 105.4

A hexagon can be defined as a closed two-dimensional polygon with six sides.

Hexagon has 6 vertices and 6 angles also.

Hexa means six and gonia means angles.

According to the given statement;

Hexagons have six sides, and so does this figure.

You can calculate the degrees in a shape by doing (n-2)180. With n being the number of sides(6)

There are 720 degrees in a hexagon.

1) Now write the following equation:

(16x+7)+(13x+2)+95+170+155+88=720

2) Combine alike terms:

26x+517=720

3) Subtract 538 from both sides:

26x=203

4) Divide both sides by 26

x=7.8

5) Plug in 7.8 as X in the original two equations for A and B

A- 16(7.8)+5= 129.8

B- 13(7.8)+4= 105.4

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Answer:

60% increase

Step-by-step explanation:

First: subtract your final value by your starting value

136 - 85 = 51

Second: divide your product from the first step by your starting value

51 ÷ 85 = 0.6

Third: multiply your product from the second step by 100

0.6 x 100 = 60

Answer:

8/14

Step-by-step explanation:

All of the other ratios can be simplified to 2/3

Answer:

Step-by-step explanation:

it should be 53.231 i think

2x-1 < x+3

5x-1 > 6-2x

x-5 < 0

solve the inequality for x.

x < 4

x > 1

X < 5

find the intersection

X ∑ {1,4}

Alternative form: {x I 1 < x < 4}

∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.

Answer:

(-6, -8)

Step-by-step explanation:

We have the following system of equations:
[tex]y = 2x+4[/tex]    (1)

and

[tex]y=x-2[/tex]      (2)

Set (1) = (2) since the LHS is y in both

We get

[tex]2x + 4 = x - 2[/tex]

Subtract x from both sides:

[tex]2x + 4 - x = x - 2 -x[/tex]

[tex]x + 4 = -2[/tex]

Subtract 4 from both sides

[tex]x + 4 - 4 = -2 -4[/tex]

[tex]x = -6[/tex]

Substitute for x in Equation (2) to get
[tex]y = -6 - 2 = -8[/tex]

So the solution is (-6, -8)

Laine will take 30 minutes to read 25 pages.

Given Laine reads 200 pages in 240 minutes.

We need to find the time taken to read 25 pages, if Laine reads at the same rate.

First, let us find out the time taken to read one page.

240 minutes are taken to read 200 pages

This implies that the time taken to read 1 page = 240/200 minutes

This implies that the time taken to read 1 page = 6/5 minutes

Therefore, the time taken for 25 pages = 25 ×(6/5) minutes

⇒ The time taken for 25 pages = 30 minutes

Hence, Laine will read 25 pages in 30 minutes, if she reads 200 pages in 240 minutes.

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The greater proportion is 36/104 since 34.62% is greater than 32.11%.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) indicates the hundredth part; consequently, 100 percent represents the complete amount and 200 percent specifies times the supplied quantity.

Given fractions are = 35/109 and 36/104

finding the greater fraction we express them as a percentages:

So the first fraction will be:

(35/109 ) * 100

= 3500/109

= 32.11%

For the second equation:

(36/104) * 100

= 3600/104

= 34.62%

The greater proportion is 36/104 since 34.62% is greater than 32.11%.

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Answer: It is important to follow the order of operations because you want to make sure you get an accurate result and it ensures that you can understand and approach a mathematical problem easily. It's also important too because it sets a standard of how to solve equation so without it, equations could have multiple answers and that won't be right.

Answer: c

Step-by-step explanation:

C is correct

well, the carpet and table set are both 173.95 + 88.08 = 262.03, however Judy is so smashing she got an 18% discount on that, ,so

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{18\% of 262.03}}{\left( \cfrac{18}{100} \right)262.03} ~~ \approx ~~ 47.17~\hfill \underset{discounted~price}{\stackrel{262.03~~ - ~~47.17}{\approx 214.86}}[/tex]

now, let's add the 8% tax to that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 214.86}}{\left( \cfrac{8}{100} \right)214.86} ~~ \approx ~~ 17.19~\hfill \underset{\textit{ total price}}{\stackrel{214.86~~ + ~~17.19}{\approx \text{\LARGE 232.05}}}[/tex]

Answer:

C 39

Step-by-step explanation:

took the test

I'm going to assume you meant 89/56 and not 8965 due to the fact you are asking for a mixed number answer.

[tex]=\frac{22}{1}\div \frac{89}{56}[/tex]
[tex]=\frac{22}{1}\times \frac{56}{89}[/tex] <- Apply the fraction rule [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]\frac{22\times \:56}{1\times \:89}[/tex] <- Apply the fraction rule [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{1232}{1\times \:89}[/tex]
[tex]=\frac{1232}{89}[/tex]
[tex]13 \frac{75}{89}[/tex] <- Convert to mixed number and there is your final answer
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Have a WONDERFUL day!

Step-by-step explanation:

tan x = 1 / (cot x)

Tangent Formula Using Sin and Cos

We know that sin x = (opposite) / (hypotenuse), cos x = (adjacent) / (hypotenuse), and tan x = (opposite) / (adjacent). Now we will divide sin x by cos x.

(sin x) / (cos x) = [ (opposite) / (hypotenuse) ] / [ (adjacent) / (hypotenuse) ] = (opposite) / (adjacent) = tan x

Thus, the tangent formula in terms of sine and cosine is, 

tan x = (sin x) / (cos x)

The new data set is the {54,46,54,52,47}.

According to the statement

We have to find that the value of the data set.

So, For this purpose, we know that the

A data set is a collection of related, discrete items of related data that may be accessed individually or in combination or managed as a whole entity.

From the given information:

45 is added to the data set 9, 1, 9,7, 2

It means the data set is the

{ 9, 1, 9,7, 2}

Then the number 45 is added into the each elements of the data.

Then

9+45 = 54

1+45 = 46

9+45 = 54

7+45 = 52

2+45 = 47.

The new data set is the {54,46,54,52,47}

So, The new data set is the {54,46,54,52,47}.

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Answer: I'm sure it is just 1

Answer:448

Step-by-step explanation:None

Answer:

448

Step-by-step explanation:

(-4 × 16)×(-7)

(-64)×(-7)

448

Answer:

the answer is c(4)

Step-by-step explanation:

30/2=15

30/3=10

30/4= not an interger(7.5)

30/5=6

30/6=5

this is the reason why c is not an interger because all other is a whole number while c is a decimal