In the figure below, k || 1 and m II n. Find the values of x and y.
xo
(Sy-98)
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77°
X =
y=

The WACC for A-Rod Manufacturing Company is 11.2%.

how to get A-Rod Manufacturing Company's weighted average cost of capital (WACC):

Determine the debt's cost. The yield on the company's outstanding bonds is the cost of debt. In this instance, the company's bond yield is 11.8%.

Determine the preferred stock's price. The dividend yield on the company's preferred stock is the cost of preferred stock. In this instance, the preferred stock of the corporation has a dividend yield of 8.5 percent.

Determine the equity cost. The anticipated return that investors expect on the company's common shares is known as the cost of equity. The dividend discount model is one popular way to determine the cost of equity among the many other approaches. The cost of this model's

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Answer:

A. 30.144

Step-by-step explanation:

This is a Chi-Squared test

Given:

To use the Chi-Square distribution table, you need to know two values:

Degrees of Freedom = n - 1 = 20 - 1 = 19

The significance level is 5%, so \(\alpha= 0.05\)

This is a one-tailed test since \(\textsf{H}_1:\sigma^2 > 384\) so Upper tail area = 0.05

Reading from the table (attached), the critical value is:  30.144

(This means that we reject \(\textsf{H}_0\) if the test statistic is greater than 30.144)

Answer:

\(z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104\)    

Now we can calculate the p value with this probability:

\(p_v =P(z>1.104)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense

Step-by-step explanation:

Information given

\(\bar X=31.3\) represent the sample mean

\(\sigma=\sqrt{3.61}= 1.9\) represent the population deviation

\(n=110\) sample size  

\(\mu_o =31.1\) represent the value to verify

\(\alpha=0.1\) represent the significance level

z would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to check if the true mean for this case is higher than 31.1 MPG, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 31.1\)  

Alternative hypothesis:\(\mu > 31.1\)  

Since we know the population deviation the statistic would be given by:

\(z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}\)  (1)  

Replacing the info given we got:

\(z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104\)    

Now we can calculate the p value with this probability:

\(p_v =P(z>1.104)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense

Answer:

a) acute triangle

b) obtuse triangle

c) right-angled triangle

d) equilateral

e) isosceles, right-angled triangle

Step-by-step explanation:

Hope this helps!

By solving a linear equation, we will see that they sold a total of 288 cookies.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

We know that Phil and Matt sell cookies for $0.25 each, so, if they sell x cookies, the total revenue is: R(x) = $0.25*x

Now, we know that they made a total of $72.00, so now we need to solve the linear equation:

$0.25*x = $72.00x

= $72.00/$0.25 = 288

They sold 288 cookies.

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Answer:

Step-by-step explanation:

Use the property of 30-60-90 degree right triangles

They have the ratio of  sides from smallest to greatest: 1: √3 : 2

The top triangle

The bottom triangle

Acute angles n and 2n makes them 30° and 60°

Answer:

x = 1/2*2√3 = √3

y = √3*√3 = 3

Answer: A. width of the confidence interval to increase.

Step-by-step explanation:

A 95% confidence interval provides a interval with a 95% probability that the true population parameter lies in it , where 99% confidence interval provides a interval with a 99% probability that the true population parameter lies in it .

Probability of getting true population parameter increases if the width of the interval increases.

Hence, if  we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the width of the confidence interval to increases.

hence, the correct option is A.

The given system of inequalities is:

We can observe on the first inequality, it is in the slope-intercept form y>mx+b, where m is the slope and b is the y-intercept. So m=6 and b=-4.

Then, this inequality represents the line that intercepts the y-axis at -4.

Also, as this has the symbol ">", it means the line itself is not included in the solution, then it is a dotted line and its graph is:

Now, for the second inequality, we need to convert it to slope-intercept form:

Then, it is represented by the line that intercepts the y-axis at y=2. As this inequality has the symbol "<=" then, the line is included in the solution set, it is a solid line, and the solution are the y-values lower or equal to the line, then it is represented by:

The solution set to the system, is the space where the solutions of both inequalities overlaps, and it is represented by the purple zone:

The answer is option D.

Answer:

Is it a question

Step-by-step explanation:

Seriously!!!

In this case you have:

confidence interval = 99%

sample size n = 27

In order to determine the critical t value you take into account the confidence level (99%) and degree of freedom. The degrees of freedom is calculated as follow:

degrees of freedom = n - 1 = 27 - 1 = 26

With this information, confidence level and degrees of freedom you search in a t table the point in which 26 and 99% cross each other.

The associated critical t value is t = 2.48, as you can notice in the following screenshot of a part of the table.

The corresponding t value is found in the row for 26, and there is the column for 99%

Answer:

Step-by-step explanation:

For the midpoint of AB

\(x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{1+3}{2} ,y=\frac{4+0}{2} \\\\x=2,y=2\)

Hence, co-ordinate of D is D(2,2)

For the midpoint of AC

\(x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{1-3}{2} ,y=\frac{4-2}{2} \\\\x=-1,y=2\)

Hence coordinate of E is E(-1,2)

Now find the slope of DE and BC if they are equal they are parallel.

The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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The expression that represents the quotient of given model is x + 5

The correct answer is an option (C)

In this question, we have been given a synthetic division of x^2 + 5x and x

We need to find the quotient.

    x  + 1  + 1 + 1 + 1 + 1        

x) x^2    x   x   x   x   x

 - x^2                                  

    0      x

         -  x                            

            0   x

             -  x                    

                  0  x

                  -  x                

                      0    x

                       -    x            

                             0  x

                             -    x      

                                   0

Therefore, the expression that represents the quotient of given model is x + 5

The correct answer is an option (C)

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Answer:

-60 ? At least that's if you meant like

\(5 \times ( - 12) = - 60\)

Answer:

Cannot simplify As a decimal 0.41.6 Explanation: 512 does not cancel down

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

You need to move 5 times as many crates in the same amount of time....so you will need 5 times as many people =   25 people

================================================

Explanation:

Whenever the angle theta is between 0 and 90, the reference angle is exactly that value.

It's only when you get to other quadrants is when things get a bit tricky. Right now we're in quadrant 1, often written as Q1.

-------------------

Extra info:

Answer:

60 degrees

Step-by-step explanation:

In Quadrant 1, the reference angle is the same as theta.

So,

Reference Angle = 60 degrees

Answer: -2, -3, and -4.

Step-by-step explanation:

The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.

Answer:

10th term = -1/32 or -0.03125

Step-by-step explanation:

This is a geometric sequence with a common ratio of -1/2:

r = -1/2

We can use the formula for the nth term of a geometric sequence to find the nth term:

an = a1 * r^(n-1)

where:

a1 = first term = 16

n = the index of the term we want to find

Substituting the values, we get:

an = 16 * (-1/2)^(n-1)

Therefore, the nth term of the sequence is given by the formula:

an = 16 * (-1/2)^(n-1).

For 10 th term

we need to substitute 10 in place of n.

so

a_10=16*(-1/2)^(10-1)=-1/32=-0.03125

To find:-

Answer:-

The given geometric sequence to us is ,

16 , - 8 , 4 , - 2 . . . . .

In a geometric sequence each term is multiplied by a number to obtain the next term.

Now let's find the common ratio (r) , to find the common ratio divide a term by its preceding term as ,

\(\implies r = \dfrac{-8}{16}\\\)

\(\implies r =\dfrac{-1}{2}\\\)

Hence the common ratio is -1/2 .

Now to find the nth term of a GP , we can use the formula, which is;

\(\implies T_n = ar^{n-1} \\\)

where,

So on substituting the respective values, we have;

\(\implies T_{10} = 16 \bigg( \dfrac{-1}{2}\bigg)^{10-1}\\\)

\(\implies T_{10} = 2^4 \bigg( \dfrac{-1}{2}\bigg)^9\\\)

\(\implies T_{10}= -1\bigg( \dfrac{2^4}{2^9}\bigg) \\\)

\(\implies T_{10}=-1\bigg(\dfrac{1}{2^5}\bigg) \\\)

\(\implies \underline{\underline{\green{{T_{10}=-\dfrac{1}{32}}}}} \\\)

Hence the tenth term is -1/32 .

and we are done!

Answer:

928 in2

768 in2

464 in2

160 in2

Answer:

c

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

-2(4x - 3) = 10

First distribute the -2 to 4x and -3; it turns into

-8x + 6 = 10

The subtract 6 on both sides which equals

-8x = 4

Then divide -8 on both sides...

x = -4/8 or -1/2

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer:

\(x=-1\)

Step-by-step explanation:

Cross multiply.

10(4x + 1) = 15(2x)

Expand brackets.

40x + 10 = 30x

Add -30x and 10 on both sides.

40x - 30x = -10

10x = -10

Divide both sides by 10.

10/10x = -10/10

x = -1

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip