Use the binomial formula to find the coefficient of the y^120x² term in the expansion of (y+3x)^22. ?

Answers

Answer 1

This coefficient is not defined, since k must be a non-negative integer. Therefore, the coefficient of the y¹²⁰ x² term in the expansion of (y + 3x)²² is 0.

The binomial formula is used to expand binomials of the form (a + b)ⁿ, where a, b, and n are integer.

In general, the formula is given by:

[tex]$(a+b)^n=\sum_{k=0}^{n}{n \choose k}a^{n-k}b^k$[/tex]

The coefficient of the y¹²⁰ x² term in the expansion of (y + 3x)²² can be found by using the binomial formula.

To find this coefficient, we need to determine the value of k for which the term [tex]y^{22-k} (3x)^k[/tex] has y¹²⁰x²  as a product.

Let's write out the first few terms of the expansion of (y + 3x)²²:

[tex]$(y + 3x)^{22} = {22 \choose 0}y^{22}(3x)^0 + {22 \choose 1}y^{21}(3x)^1 + {22 \choose 2}y^{20}(3x)^2 + \cdots$[/tex]

Notice that each term in the expansion has the form {22 choose k}[tex]y^{22-k} (3x)^k[/tex]

Thus, the coefficient of the y¹²⁰ x²  term is given by the binomial coefficient {22 choose k}, where k is the value that makes 22 - k equal to the exponent of y in y¹²⁰  (i.e., 120). Therefore, we have:

22 - k = 120k = 22 - 120k = -98

Thus, the coefficient of the y¹²⁰ x² term is given by the binomial coefficient {22 choose -98}.

However, this coefficient is not defined, since k must be a non-negative integer. Therefore, the coefficient of the y¹²⁰ x² term in the expansion of (y + 3x)²²  is 0.

To know more about binomials formula, visit:

https://brainly.com/question/30100288

#SPJ11


Related Questions

1. Describe the relationship between the terms in the sequence 13, 26, 52,
104, ... Then write the next three terms in the sequence.

Answers

Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832

Answer: 208, 416, 832

The numbers double by itself

Step-by-step explanation:

13+13 = 26, 26+26 = 52, 52+52 = 104, 104+104=208 and so on

Find the area of the following figure. Show your work

Answers

1 - 7 + 7 + 3 + 3 = 20
2 - 3 + 3 + 4 + 3 = 13
3 - 7 + 7 + 2 + 2 = 18
4 - 2 + 2 + 9 + 9 = 22
5 - 3 + 1 + 3 + 1 = 8
20 + 13 + 18 + 22 + 8
33 + 18 + 22 + 8
33 + 18 + 30
63 + 18
= 81

I need help with this
[tex] \sqrt[3]{4} \times \sqrt{3} [/tex]
25 points.​

Answers

Step-by-step explanation:

[tex]\sqrt[3]{4}[/tex][tex]\\\sqrt{3}[/tex]=[tex]\sqrt[6]{432}[/tex]

[tex]4^{1/3}[/tex][tex]3^{1/2}[/tex]=[tex]432^{1/6}[/tex]

Hope that helps :)

Rewrite the equation by completing the square. x^{2}+4x-21 = 0

Answers

Answer:

x={3,-7}

Step-by-step explanation:

brackets for list

Solve with quadratic formula

separate the solutions

Square

Answer:

2 for the first box and 25 for the second one.

Step-by-step explanation:

HELPPP WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

15 by 2

Step-by-step explanation:

15 cubes in each layer with 2 layers

Answer:

Cubes in each layer: 15

Number of layers: 2

Volume : 30 cm^3

Step-by-step explanation:

Which of the following statements is the most accurate comparison of LDA and ODA with regard to the bias-vanance trade-off?

Answers

the most accurate statement comparing LDA and ODA in terms of the bias-variance trade-off would be that LDA generally has lower variance and moderate bias, while ODA tends to have higher variance and lower bias.

LDA (Linear Discriminant Analysis) and ODA (One-Dimensional Analysis) are both techniques used in machine learning and statistical analysis, but they differ in their approach to the bias-variance trade-off.

The bias-variance trade-off refers to the trade-off between the bias of a model (error due to overly simplistic assumptions) and the variance of a model (error due to excessive complexity). A model with high bias may underfit the data, while a model with high variance may overfit the data.

In terms of the bias-variance trade-off, LDA tends to have low variance and moderate bias. It assumes that the data is normally distributed and that the class covariance matrices are equal. LDA attempts to find a linear combination of features that maximally separates the classes. However, LDA makes strong assumptions about the data distribution, which may limit its flexibility and result in bias.

On the other hand, ODA, also known as univariate analysis or one-dimensional analysis, typically has higher variance and lower bias compared to LDA. ODA considers each feature independently, disregarding any interdependencies among the features. By examining each feature individually, ODA allows for more flexibility and may capture complex relationships in the data. However, this flexibility can lead to higher variance, making ODA more prone to overfitting if the dataset is small or noisy.

Therefore, the most accurate statement comparing LDA and ODA in terms of the bias-variance trade-off would be that LDA generally has lower variance and moderate bias, while ODA tends to have higher variance and lower bias.

Learn more about Linear Discriminant Analysis here

https://brainly.com/question/32065614

#SPJ4

Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?

Answers

Answer:

8

Step-by-step explanation:

If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100

Answer:

Length= squre root of area

Length of big poster = squre root of 144

=12

Length of small poster=squre root of 100

=10

The perimeter = 4*length

Big poster perimeter=4*12=48

Small poster perimeter =4*10=40

The difference= 48 - 40 = 8

It is bigger by 8

Angle 3 and angle 5 are What Kind Of Angle

A.Corresponding
B.Same Side
C.Alternate interior

Answers

Answer:

The answer of this question is C

Classify a triangle with sides measuring 5, 7 and 8.

Answers

Answer:

Scalene

Step-by-step explanation:

Because all 3 sides have different length.

When all 3 sides have the same length: equilateral

When 2 sides have the same length but the 3rd side has a different length: isosceles

When all 3 sides have different length: scalene

Confused anyone need help

Answers

Answer:

The temperature on the moon at midnight was -250 degrees.

Step-by-step explanation:

235 - 485 = -250

Choose the correct classifacation of 4x^4-4x^3+10x^6​

Answers

Answer:what’s classification

Step-by-step explanation:

PLEASE ANSWER THIS ASAP

Answers

Answer:

the answer is rotation

hope this helps

The answer is rotation. Your shape is rotating

A travel agent collected data from a group of past clients regarding what type of reservation they plan to make in the future and which package they plan to choose. The types of reservations offered at the agency are tours, cruises, and resorts, and the packages offered are either basic or deluxe.

Answers

The two way table given by option z is a possible representation of the data collected.

How to calculate a relative frequency?

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Half of the packages are basic.Half of the packages are deluxes.

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

More can be learned about relative frequencies at brainly.com/question/1809498

#SPJ1

Write an equivalent expression for each expression.
6(12-3b)

Answers

Answer:   -18b + 72

Step-by-step explanation:

6(12 - 3b)

= 6(12) + 6(-3b)

= 72 - 18b

= -18b + 72

Write an equation of the line that passes through (0, 8) and (6, 8).

Answers

Answer:

y = 8

Step-by-step explanation:

Both of the points have the same y, which is 8, meaning that if the line passed through both of those points, then it has to be horizontal, meaning the equation is y = 8   Also, there is no x in the equation because the slope is 0.

I NEED the Answer NO LINKS!!

Answers

Answer:

A

Step-by-step explanation:

This should Help

(3+4)⋅(22+3)
whats the answer for that equation

Answers

the answer should be 175

AHHHHH HELPPPPPPPPPPPPPPPPP

Answers

[tex]3^{2}+2^{2}=d^{2}[/tex]

Answer:

I cant see the photo sorry

Step-by-step explanation:

8. Which equation is true for all x- and y- values in the table below?

x y
1 7
2 14
3 21
4 28
(1 point)
y = x + 7
y = x – 7
y = x over seven
y = 7x

Answers

Answer:

y = 7x

Step-by-step explanation:

you mutiply 7 times 1=7

you just continue to do that

Donna bought 5 bags of dog treats for $13.10. What is the cost per bag of dog treats?
A. $18.10
B.$3.28
C.$2.62
D.$0.38

Answers

It is answer C because 13.10 divided by 5 is 2.62 Pls mark brainliest

Kiteretsuki builds a robot to help him paint a fence. The robot has a paint roller of width 1 foot, that works like a ball-point pen, so it has a steady flow of ink. Kiteretsuki sets the robot to work and leaves but doesn't realize that the robot has a programming error.
It paints one foot of the fence from left to right, then stops and paints a foot in the right to left direction. It then starts moving from left to right again, but this time moving two feet instead of one. However, after this, it only moves back to its previous position. The robot carries on in this fashion, increasing its reach by 1 foot every left to right movement and then returning to its previous starting point.
If Kiteretsuki returns after the robot have moved a total of 11 times, how many inches of the fence has the robot painted in that time?​

Answers

Answer:

72 inches

Step-by-step explanation:

Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.

The patterns is as follows:

move 1: moves to the right by 1 foot.

moves 2: moves to the left.

moves 3: moves to the right by 2 feet.

moves 4: moves to the left

moves 5: moves to the right by 3 feet.d

moves 6: moves to the left

moves 7: moves to the right by 4 feet.

moves 8: moves to the left

moves 9: moves to the right by 5 feet.

moves 10: moves to the left

moves 11: moves to the right by 6 feet.

We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.

So, the robot has painted 72 inches of the fence before Kiteretsuki returns.

Mrs. Dawson is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Hampton Florist charges $12 for each smaller arrangement, plus $27 for the large centerpiece. Farid's Flowers, in contrast, charges $32 for the large centerpiece and $7 per arrangement for the rest. If Mrs. Dawson orders a certain number of small arrangements, the cost will be the same at either flower shop. How many small arrangements would that be? What would the total cost be? If Mrs. Dawson orders small arrangements, it will cost $ at either shop.

Answers

The number of flower arrangement and the costs are illustrations of linear equation

If Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

How to determine the number of small arrangements?

Represent the number of small arrangements with x, and the total cost with y.

Using the data from the question, we have:

Hampton Florist: y = 12x + 27.

Farid's Flowers: y = 32 + 7x

When both flower arrangements cost the same, we have the following equation

12x + 27 = 32 + 7x

Collect like terms

12x - 7x = 32 - 27

Evaluate the like terms

5x = 5

Divide both sides by 5

x = 1

This means that 1 small arrangement would cost the same in both flower shops

How to determine the total cost?

In (a), we have:

y = 12x + 27.

Substitute 1 for x

y = 12(1) + 27

y = 39

Hence, if Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Read more about linear equations at:

https://brainly.com/question/14323743

JELLY V. TUCHY Slipe old Distribution O of 1 Point The data below represent the per capita (average) disposable income (income after taxes) for 25 randomly selected cities in a recent year. Describe the shape of the distribution. Choose the correct answer below. Skewed left 30,206 34,278 36,997 40,291 30,448 34,633 37,244 41,059 Skewed right Bell-shaped O 30,732 34,968 37,811 41,437 Uniform 32,171 35,230 38,408 52,510 33,016 35,624 38,608 33,684 35,863 38,956 Get more help Clear all Check answer JELLY V. TUCHY Slipe old Distribution O of 1 Point The data below represent the per capita (average) disposable income (income after taxes) for 25 randomly selected cities in a recent year. Describe the shape of the distribution. Choose the correct answer below. Skewed left 30,206 34,278 36,997 40,291 30,448 34,633 37,244 41,059 Skewed right Bell-shaped O 30,732 34,968 37,811 41,437 Uniform 32,171 35,230 38,408 52,510 33,016 35,624 38,608 33,684 35,863 38,956

Answers

The shape of the distribution of per capita disposable income for the 25 randomly selected cities in a recent year can be described as skewed right.

To determine the shape of the distribution, we can examine the data and look for any noticeable patterns. In this case, we observe that the values for per capita disposable income generally increase as we move from left to right. This indicates a rightward skewness in the distribution.

Skewness refers to the asymmetry of a distribution. When a distribution is skewed right, the tail of the distribution extends towards the higher values, while the majority of the data tends to cluster towards the lower values. This suggests that there are few cities with relatively higher per capita disposable incomes, while the majority of cities have lower incomes.

In contrast, a bell-shaped distribution would indicate a symmetrical pattern with a peak in the center and an equal number of data points on both sides.

Learn more about skewed here: brainly.com/question/31671050

#SPJ11

Find the area of the shaded area

Answers

Answer:

1.7x3.9=6.63 so each shaded area is 6.63 then add

Step-by-step explanation:

Jasmine has $50 and saves $4.38 every month. Radha has $0 and saves $5.38 every month. Jasmine's savings after x months can be represented by the function f (x) = 4.38 x + 50. Radha's savings after x months can be represented by the function g (x) = 5.38 x. Round your answer to the nearest hundredth.

After how many months will they both have the same amount in savings? Find the values of x for which f (x) = g (x).

After ____ months, Jasmine and Radha will have the same amount in savings.​

Answers

After 50 months, jasmine and Radha will have the same amount in savings

Use the data set and line plot below. How many feathers are
2
1
4
214
inches or shorter?


A. 8

B. 12

C. 15

D. 5

Answers

Answer:

B.) 12

Step-by-step explanation:

2+1/4 is the fraction and all values less than two are on the line.

1 brown circle represents 1 feather

there are 7 dots for 2+1/4

4 dots for 2

1 dot for 3/4

Hope that helps :)

Answer:

answer is B. Aka 12

Step-by-step explanation:

thanks mark brainliest…:) please.

A cube has a surface area of 6. What's the volume?

Answers

Answer:

18 Superfícies  

Step-by-step explanation:

I think the answer is gonna be 18

Oatmeal is packaged in a right circular cylindrical container that has a radius of 7 centimeters and a height of 16 centimeters.



What is the surface area of this container in terms of pi?

a. 176
b. 254
c. 322
d. 440

Answers

Answer:

c. 322

Step-by-step explanation:

Surface area of cylinder = 2πr² + 2πrh.

SA in terms of π = π(2r² + 2rh) →

π(2(7)² + 2(7)(16)) →

π(2(49) + 2(112)) → π(98 + 224) → π(322)

What is the solution to the equation x + 11 = 57? (Input a whole number only.)

Answers

Answer:

46

Step-by-step explanation:

Answer:

x=46

Step-by-step explanation:

Determine whether the following series are convergent or divergent.
a. (summation) n=3 to infinity of 6/(n+4)
b. (summation) n=2 to infinity of n/((Sq. root of n) +1)
c. (summation) n=1 to infinity of 1/ (Sq. root of n^4 +8)
d. (summation) n=2 to infinity of (-1)^(n-1) n/ ln/n

Answers

The following are the solutions of the given series:a)   The given series can be written as:(summation) n=3 to infinity of 6/(n+4) = 6[(1/7) + (1/8) + (1/9) +...].It is a p-series of p = 1, since 1 < p = 2. Hence, it is divergent. b)   The given series can be written as:(summation) n=2 to infinity of n/((Sq. root of n) +1) = (summation) n=2 to infinity of [n/((Sq. root of n) +1)] * [(Sq. root of n)-1]/[(Sq. root of n)-1].On solving this we get, (summation) n=2 to infinity of [(Sq. root of n)-1].This series is a p-series of p = 1/2, since p < 1. Hence, it is convergent. c)   The given series can be written as:(summation) n=1 to infinity of 1/ (Sq. root of n^4 +8) .This is a convergent series because it is similar to the p-series with p = 2. Therefore, the series is convergent. d)   The given series can be written as:(summation) n=2 to infinity of (-1)^(n-1) n/ ln/n .As per Alternating Series Test, this is an alternating series which is decreasing to 0, Hence, the series is convergent.

Learn more about summation from: brainly.com/question/40307483

#SPJ11

According to the given information,

a. the series diverges.

b. the series diverges.

c. series is convergent

d. series is conditionally convergent

To determine the convergence or divergence of these series, we can analyze the behavior of the terms as n approaches infinity.

a. The series (summation) n=3 to infinity of 6/(n+4) can be rewritten as (summation) n=3 to infinity of 6/n.

As n approaches infinity, the term 6/n approaches zero. Since the harmonic series (1/n) is known to diverge, the given series also diverges.

b. The series (summation) n=2 to infinity of n/((Sq. root of n) +1) can be rewritten as (summation) n=2 to infinity of (n^(3/2))/(n + sqrt(n)).

As n approaches infinity, the term (n^(3/2))/(n + sqrt(n)) approaches (n^(3/2))/n = sqrt(n).

Since sqrt(n) increases without bound as n approaches infinity, the series diverges.

c. The series (summation) n=1 to infinity of 1/(Sq. root of (n^4 + 8)) can be rewritten as (summation) n=1 to infinity of 1/(n^2 + 8^(1/4)).

As n approaches infinity, the term 1/(n^2 + 8^(1/4)) approaches 0. Since the terms of the series approach zero as n approaches infinity, we need to investigate further.

By comparing the series to the p-series, we see that n^2 is larger than 1 for all n greater than or equal to 1. Therefore, the series (summation) n=1 to infinity of 1/(n^2 + 8^(1/4)) is convergent.

d. The series (summation) n=2 to infinity of (-1)^(n-1) n/ ln(n) can be analyzed using the alternating series test.

As n approaches infinity, the term n/ln(n) approaches infinity, and the series does not converge absolutely.

However, if we examine the behavior of the series using the alternating series test, we see that (-1)^(n-1) alternates between -1 and 1.

Additionally, the absolute value of n/ln(n) is a monotonically decreasing function as n increases.

Thus, the series is conditionally convergent by the alternating series test.

To know more about series, visit:

https://brainly.com/question/30457228

#SPJ11

Other Questions
Exhibit A Demand and Marginal Utility Pizza Pies Compact Disks Total Marginal Total Marginal Quant. Utility Utility Total Marginal Quant. Utility Util. Quant. Utility Utility. 90 --- 1 60 30 - 130 40 90 30 45 160 30 105 50 180 20 115 53.5 120 T 185 5 150 55 -35 122 6 56 Complete all relevant information in the above chart. Exhibit A provides C. Chan's hypothetical total utility schedule for three goods-pizza pies, compact disks, and movies. Assume that the price of a pizza is $15, the price of a compact disk is $15, and the price of a movie is $7.50. How many units of each good will C. Chan consume if he spends all of his income of $85 a month on these three goods. How do your answers change if the price of movies is $10? $5? Plot the demand curve for movies. What is the price elasticity of demand for movies if the price rises from $7.50 to $10.00? What is the price elasticity of demand for movies if the price falls from $7.50 to $5.00? Use the mean or arc elasiticity formula for the above two questions. 123456 23456 15 123456 Movies A 60 kg woman stands on the very end of a uniform board of lengthl, which is supported one quarter of the way from one end and is balanced.What is the mass of the board?A.15 kg.B. 20 kg.C.30 kg.D. 60 kg.E. 120 kg. Derek has the opportunity to buy a money machine today. Themoney machine will pay Derek $22,614.00 exactly 6.00 years fromtoday. Assuming that Derek believes the appropriate discount rateis 10.00%, Suppose an industry with four firms 1) having the same constant marginal cost c = C = C3 = C4 = 4; 2) incurring no fixed cost of production; 3) producing a homogeneous good and choosing output simultaneously (i.e., being Cournot competitors); and 4) facing the linear inverse demand P = 10-Q with Q 91 +92 +93 +94. = Q9) Determine the quantity produced by firms 1 and 2 at the pre-merger equilibrium. Assume firm 1 merges with firm 4 and retains the name firm 1 leaving in the market firms 1, 2, and 3. The merger leads to synergies with the marginal cost of the merged firm becoming c < 4. Q10) Determine the quantity produced by firms 1 and 2 at the the post- merger equilibrium (each firm's quantity will be a function of c). Q11) Determine the value for c such that the merger becomes profitable. Q12) Determine the value for such that the price decreases post-merger. Hawar International is a shipping firm with a current share price of $4.69 and 9.1 million shares outstanding. Suppose that Hawar announces plans to lower its corporate taxes by borrowing $7.7 million and repurchasing shares, that Hawar pays a corporate tax rate of 25%, and that shareholders expect the change in debt to be permanent. a. If the only imperfection is corporate taxes, what will be the share price after this announcement? b. Suppose the only imperfections are corporate taxes and financial distress costs. If the share price rises to $4.74 after this announcement, what is the PV of financial distress costs Hawar will incur as the result of this new debt? a. If the only imperfection is corporate taxes, what will be the share price after this announcement? The share price after this announcement will be $ per share. (Round to the nearest cent.) b. Suppose the only imperfections are corporate taxes and financial distress costs. If the share price rises to $4.74 after this announcement, what is the PV of financial distress costs Hawar will incur as the result of this new debt? The PV of financial distress costs will be $ million A vessel with a volume of 22.8 L contains 2.80 g of nitrogen gas, 0.807 g of hydrogen gas, and 79.9 g of argon gas. At 25C, what is the pressure in the vessel? (Use 3 sig figs no need to type down the unit) How important is price (cost) in the B2B marketing equation today? Is it the most important variable that influences buying decisions, or must buyers consider other aspects of the mix as being equally important? Assess the situation"Developing partnerships with suppliers and customers is crucial to the success of business-to-business marketing organizations." Do you agree or disagree? Explain in at least 2 4 sentences 2nd attempt Suppose that an economy has a real GDP of $60,000 with autonomous consumption of $7,000. If the marginal proposensity to consume (MPC) is 0.80, what would be the total consumption? What is an assumption of a Spearman's rho test? a) Residuals are equal across predictor variables along the criterion variable. b) Data must be ordinal. c) Independent variables must be independent of each other. d) Data is linear. A fast-food restaurant manager believes that 27% of customers who order Double Whopper Cheeseburgers (1,000 calories, if you are counting ) also order a Diet Coke along with their meal. A recent survey of 325 customers revealed that 32% of customers that ordered a Double Whopper Cheeseburger also ordered a Diet Coke. The test statistic calculated to determine whether or not the actual proportion of 27% has changed based on this sample is closest to: 2.03 2.70 O 1.645 2.57 QUESTION 20 The total rejection region for a two-tailed test for a mean, that has a test statistic, of 2.16 has an area or probability closest to about 48% about 1.5% about 98% about 3%? Three types of switching fabrics are discussed in Section 4.3. List and briefly describe each type. R9. Describe how packet loss can occur at input ports. Describe how packet loss at input ports can be eliminated (without using infinite buffers). Moving to another question will save this response. Question 12 >> 5 points Save Answer Portfolio A is a well-diversified portfolio that is equally-weighted among 12.000 different and diverse Performance Appraisal Methods include of them except: A. Written essays B. Critical incidents C. Graphic rating scales D. Behaviorally anchored rating scales E. BARH once to be Based on:Entity-Relationship Diagram with the following requirements:There are Professors (ie users) with the changeable attributes Professor_Name, Field, College, PhD_DateThere are Flubs (ie posts) with the unchangeable attributes Content, Purpose, Moment, Inventor (which is the creating Professor)There are Bounces (ie shares) where a Professor can share another Professor's FlubAdd ID attributes as necessaryContent of Flubs only needs to be a text of fixed lengthProfessors can have/be Colleagues (ie friends/followers)A Flub can get Citations (ie likes) by other ProfessorsShow the Relational Algebra AND Domain Relational Calculus formulas for each.Show a portfolio of the Flubs by a ProfessorShow a portfolio of all Flubs and Bounces (the Flubs bounced) by all of a Professor's Colleagues Question 41 The rate of write-off (% pa) for capital works on a motel building for which construction commenced in March 1985 is: 4% 2.5% 10% 5% 8% roblem 17-19 Preferred stock dividends in arrears [LO17-5) Robbins Petroleum Company is four years in arrears on cumulative preferred stock dividends. There are 880,000 preferred shares outstanding, and the annual dividend is $9.50 per share. The Vice-President of Finance sees no real hope of paying the dividends in arrears. She is devising a plan to compensate the preferred stockholders for 90 percent of the dividends in arrears. D oints a. How much should the compensation be? (Do not round intermediate calculations. Input your answer in dollars, not millions (e.g. 02:33:25 $1,234,000).) Answer is complete and correct. Compensation $ 30,096,000 b. b. Robbins will compensate the preferred stockholders in the form of bonds paying 12 percent interest in a market environment in which the going rate of interest is 16 percent for similar bonds. The bonds will have a 15-year maturity. Indicate the market value of a $1,000 par value bond. (Round your answer to the nearest whole number.) X Answer is complete but not entirely correct. Bond value $216,000 c. Based on market value, how many bonds must be issued to provide the compensation determined in part a? (Do not round intermediate calculations and round your answer to the nearest whole number.) X Answer is complete but not entirely correct. Bonds issued 38,735 Suppose that De Beers and the local water utility are both monopolists, in the markets for diamond jewelry and water. If both monopolies decided to raise prices 5 percent, which monopoly would be more likely to see its total revenue decrease? (2 marks) Why? Intro The following table shows historical beginning-of-year prices for two stocks. Stock B 4+ decimals Submit A 1 Year 2 2014 3 2015 4 2016 5 2017 2018 2019 2020 1600009 4+ decimals 7 8 Part 2 What was the variance for stock B? 2021 Part 1 Calculate the annual returns. What was the arithmetic average annual return for stock B? 2022 B Stock A 32.39 571.64 30.46 565.05 29.83 590.71 32.12 613.9 29.82 538.95 31.59 521.79 27.26 480.47 27.29 578.49 28.17 631.87 Attempt 1/10 for 10 pts. Attempt 1/10 for 10 pts. Part 3 What was the standard deviation for stock B? 3+ decimals Submit Part 4 What was the covariance of returns? 5+ decimals Submit Part 5 What was the correlation coefficient? 3+ decimals Submit Attempt 1/10 for 10 pts. Attempt 1/10 for 10 pts. Attempt 1/10 for 10 pts. A famous commercial for Tootsie Pops once asked, "How many licks to the center of a Tootsie Pop?" A student asked 81 volunteers to count the number of licks before reaching the center. The mean number of licks was 356.1 with a standard deviation of 185.7. a. Construct a 70% confidence interval for the population mean. b. Interpret the interval. explain the connection between capital adn the distribution of industries