4. Insert 21, 9, 28, 4, 15, 26, 30, 10, 2, 37, 17, 88 into the AVL Tree. Have the balancing factor. Don't write a program. Just please manually solve the problem. Thanks.

Plot -3x³+ 25sin(3.14x/4-15.5/4) + 7.43 for -2 < x < 2.5 to determine its roots . The number of roots is: using MATLAB

Problem 4-2 Discontinued operations [LO4-4]

The following condensed income statements of the Jackson Holding Company are presented for the two years ended December 31, 2018 and 2017:

On October 15, 2018, Jackson entered into a tentative agreement to sell the assets of one of its divisions. The division qualifies as a component of an entity as defined by GAAP. The division was sold on December 31, 2018, for $5,090,000. Book value of the division’s assets was $4,460,000. The division’s contribution to Jackson’s operating income before-tax for each year was as follows:

Assume an income tax rate of 20%.

Required: (In each case, net any gain or loss on sale of division with annual income or loss from the division and show the tax effect on a separate line)
1. Prepare revised income statements according to generally accepted accounting principles, beginning with income from continuing operations before income taxes. Ignore EPS disclosures.
2. Assume that by December 31, 2018, the division had not yet been sold but was considered held for sale. The fair value of the division’s assets on December 31 was $5,090,000. Prepare revised income statements according to generally accepted accounting principles, beginning with income from continuing operations before income taxes. Ignore EPS disclosures.
3. Assume that by December 31, 2018, the division had not yet been sold but was considered held for sale. The fair value of the division’s assets on December 31 was $3,930,000. Prepare revised income statements according to generally accepted accounting principles, beginning with income from continuing operations before income taxes. Ignore EPS disclosures.

Required information CC11-1 Accounting for Equity Financing [LO 11-1, LO 11-2, LO 11-3, LO 11-4, LO 11-5] [The following information applies to the questions displayed below.]   Nicole has been financing Nicole’s Getaway Spa (NGS) using equity financing. Currently NGS has authorized 100,000 no-par preferred shares and 200,000 $2 par common shares. Outstanding shares include 59,000 preferred shares and 49,000 common shares.   Recently the following transactions have taken place.    NGS issues 1,450 preferred shares for $12 a share. NGS repurchases 1,450 common shares for $11 a share. On November 12, the board of directors declares a $0.50 cash dividend on each outstanding preferred share. The dividend is paid December 20. CC11-1 Part 1 Required: Prepare the journal entries needed for each of the transactions. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.)


Required information CC11-1 Accounting for Equity Financing [LO 11-1, LO 11-2, LO 11-3, LO 11-4, LO 11-5] [The following information applies to the questions displayed below.]   Nicole has been financing Nicole’s Getaway Spa (NGS) using equity financing. Currently NGS has authorized 100,000 no-par preferred shares and 200,000 $2 par common shares. Outstanding shares include 59,000 preferred shares and 49,000 common shares.   Recently the following transactions have taken place.    NGS issues 1,450 preferred shares for $12 a share. NGS repurchases 1,450 common shares for $11 a share. On November 12, the board of directors declares a $0.50 cash dividend on each outstanding preferred share. The dividend is paid December 20. CC11-1 Part 2 If you were a common shareholder concerned about your voting rights, would you prefer Nicole to issue additional common shares or additional preferred shares?   Additional Common Shares Additional Preferred Shares

Required information CC11-1 Accounting for Equity Financing [LO 11-1, LO 11-2, LO 11-3, LO 11-4, LO 11-5] [The following information applies to the questions displayed below.]   Nicole has been financing Nicole’s Getaway Spa (NGS) using equity financing. Currently NGS has authorized 100,000 no-par preferred shares and 200,000 $2 par common shares. Outstanding shares include 59,000 preferred shares and 49,000 common shares.   Recently the following transactions have taken place.    NGS issues 1,450 preferred shares for $12 a share. NGS repurchases 1,450 common shares for $11 a share. On November 12, the board of directors declares a $0.50 cash dividend on each outstanding preferred share. The dividend is paid December 20. CC11-1 Part 4 How would each transaction affect the ROE ratio? (Use + for increase, − for decrease, and NE for no effect.)  

Required information CC11-1 Accounting for Equity Financing [LO 11-1, LO 11-2, LO 11-3, LO 11-4, LO 11-5] [The following information applies to the questions displayed below.]   Nicole has been financing Nicole’s Getaway Spa (NGS) using equity financing. Currently NGS has authorized 100,000 no-par preferred shares and 200,000 $2 par common shares. Outstanding shares include 59,000 preferred shares and 49,000 common shares.   Recently the following transactions have taken place.    NGS issues 1,450 preferred shares for $12 a share. NGS repurchases 1,450 common shares for $11 a share. On November 12, the board of directors declares a $0.50 cash dividend on each outstanding preferred share. The dividend is paid December 20. CC11-1 Part 1 Required: Prepare the journal entries needed for each of the transactions. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.)


Required information CC11-1 Accounting for Equity Financing [LO 11-1, LO 11-2, LO 11-3, LO 11-4, LO 11-5] [The following information applies to the questions displayed below.]   Nicole has been financing Nicole’s Getaway Spa (NGS) using equity financing. Currently NGS has authorized 100,000 no-par preferred shares and 200,000 $2 par common shares. Outstanding shares include 59,000 preferred shares and 49,000 common shares.   Recently the following transactions have taken place.    NGS issues 1,450 preferred shares for $12 a share. NGS repurchases 1,450 common shares for $11 a share. On November 12, the board of directors declares a $0.50 cash dividend on each outstanding preferred share. The dividend is paid December 20. CC11-1 Part 2 If you were a common shareholder concerned about your voting rights, would you prefer Nicole to issue additional common shares or additional preferred shares?   Additional Common Shares Additional Preferred Shares

Required information CC11-1 Accounting for Equity Financing [LO 11-1, LO 11-2, LO 11-3, LO 11-4, LO 11-5] [The following information applies to the questions displayed below.]   Nicole has been financing Nicole’s Getaway Spa (NGS) using equity financing. Currently NGS has authorized 100,000 no-par preferred shares and 200,000 $2 par common shares. Outstanding shares include 59,000 preferred shares and 49,000 common shares.   Recently the following transactions have taken place.    NGS issues 1,450 preferred shares for $12 a share. NGS repurchases 1,450 common shares for $11 a share. On November 12, the board of directors declares a $0.50 cash dividend on each outstanding preferred share. The dividend is paid December 20. CC11-1 Part 4 How would each transaction affect the ROE ratio? (Use + for increase, − for decrease, and NE for no effect.)   

Numerical Analysis:

Use Muller's method to find a solution in [0.1, 1] accurate to within 600x^4−550x^3+200x^2−20x−1=0. Explain how the algorithm works.

Please show table with all values, not just the final root value.

Use Muller's method to find a solution in [0.1, 1] accurate to within 600x^4−550x^3+200x^2−20x−1=0. Explain how the algorithm works.

1) The PDF of a Gaussian random variable is given by fx(x).

fx(x)= (1/(3*sqrt(2pi) )*e^((x-4)^2)/18

determine

a.) P(X > 4) b). P(X > 0). c). P(X < -2).

2) The joint PDF of random variables X and Y is given by

fxy(x,y)=Ke^-(x+y), x>0 , y>0

) Eulerian and Hamiltonian cycles. Consider the graphs defined by the following four sets of edges:

a) 0-1 0-2 0-3 1-3 1-4 2-5 2-9 3-6 4-7 4-8 5-8 5-9 6-7 6-9 7-8

b) 0-1 0-2 0-3 1-3 0-3 2-5 5-6 3-6 4-7 4-8 5-8 5-9 6-7 6-9 8-8

c) 0-1 1-2 1-3 0-3 0-4 2-5 2-9 3-6 4-7 4-8 5-8 5-9 6-7 6-9 7-8

d) 4-1 7-9 6-2 7-3 5-0 0-2 0-8 1-6 3-9 6-3 2-8 1-5 9-8 4-5 4-7

1) Which of these graphs have Euler cycles (cycles that visit each edge exactly once)?

2) Which of them have Hamilton cycles (cycles that visit each vertex exactly once)?

Problem 4-5 (Algo) Income statement presentation; Restructuring costs; Discontinued operations; Accounting error [LO4-1, 4-3, 4-4, 4-5]

The preliminary 2021 income statement of Alexian Systems, Inc., is presented below:

Additional information:

1. Selling and administrative expense includes $32 million in restructuring costs.
2. Included in other income is $125 million in income from a discontinued operation. This consists of $90 million in operating income and a $35 million gain on disposal. The remaining $7 million is from the gain on sale of investments.
3. Cost of Goods Sold in 2021 was increased by $5 million to correct an error in the calculation of 2020's ending inventory. The amount is material.

Required:
Prepare a revised income statement for 2021 reflecting the additional facts. Use a multiple-step format. Assume that an income tax rate of 25% applies to all income statement items, and that 10 million shares of common stock were outstanding throughout the year. (Enter your answers in millions rounded to 2 decimal places. Round EPS answers to 2 decimal places.)