Sara purchased 50 shares of Apple stock at $190.97 per share using the prevailing minimum initial margin requirement of 55%.

She held the stock for exactly 4 months and sold it without any brokerage costs at the end of that period. During the 4​-month holding​ period, the stock paid $1.49 per share in cash dividends.

Sara was charged 4.8% annual interest on the margin loan. The minimum maintenance margin was 25%.

a. Calculate the initial value of the​ transaction, the debit balance​, and the equity position on​ Sara's transaction. Round to the nearest cent

b. For each of the following share​ prices, calculate the actual margin​ percentage, and indicate whether​ Sara's margin account would have excess​ equity, would be​ restricted, or would be subject to a margin​ call: ​(1)$174.81​, (2)$206.54​,and​(3)$122.35. Round to the nearest .001%

c. Calculate the dollar amount of​ (1) dividends received and​(2) interest paid on the margin loan during the 4​-month holding period. Round to the nearest cent

d. Use each of the following sale prices at the end of the 4​-month holding period to calculate​ Sara's annualized rate of return on the Apple stock​ transaction: (1)$185.83​, (2) $195.99​, and​ (3)$205.89. Round to the nearest .001%

Write a program named “hw2-extra.py” that will find duplicate numbers in an array.Here is a

sample run of the program. An example for an input is as follows. The program tells you “The

7

duplicate numbers: 2 3 7 1”.

Again, do not use built-in functions if there is any.

You can read

the input from the file named as “hw2-ExtraCredit.txt”

235231779 13 15 99 96 4 1

The duplicate numbers: 2 3 1 7

1.Divisors

flow chart using modulo operator (%) to print out all the divisors of a user entered number. Your program should prompt the user to enter a positive number or 0 to end. Using a loop variable that starts at 1, your program should print out all the divisors of the entered number plus the number of printed divisors and their sum.

For example:
This program identifies and displays divisors of a given number.
Developed as an IPC144 project.

Enter a positive number. Enter 0 to end: 15
1 3 5 15
4 divisors
sum of divisors: 24

Enter a positive number. Enter 0 to end: 36
1 2 3 4 6 9 12 18 36
9 divisors
sum of divisors: 91

Enter a positive number. Enter 0 to end: 43
1 43
2 divisors
sum of divisors: 44
Enter a positive number. Enter 0 to end: 0
Thanks and bye!

2. Divisor counter

Using what you did in part 1,to develop a function called
unsigned divisorCount (unsingned num)

That gets an integer number as an input parameter and returns the number of divisors of that number. For example, if you send 15 to the function, it will return 4 as 15 has 4 divisors: 1, 3, 5, 15
The function will return 2 for 17 because 17 only has two divisors

3.Prime number

Using the function you developed in part 2, write a
int isPrime(unsigned num)

That gets a number as a paremeter and returns 1 if the number is prome and returns 0 if the number is not prome.

Use this function to write a code that gets a number from the user and prints all the prime numbers smaller and equal to that number

A sample run of your code should look like:

Please enter a positive integer number (0 to end): 12 Primes before 12 are: 2 3 5 7 11

5 Prime numbers smaller than 12

Please enter a positive integer number (0 to end): 7 Factors of 7 are: 2 3 5 7

4 prime numbers smaller than 7

Please enter a positive integer number (0 to end): 0

Thanks and have a good day!

Hint: This question is divide to three-part each of the parts is individual and the answer for each of the part will need to link together with a flowchart and c code

Given the matrix with rows

[1,1,k 1]

[1,k,1 1]

[k,1,1 -2]

Find the reduced row echelon form of M, and explain how it depends on k. (b) Consider the linear system Ax = b for which the augmented matrix is A b = M. i. For what values of k is the system inconsistent? ii. For what values of k does the system have a unique solution?

A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected. Distance to Work Number of Days Absent 2 9 4 6 4 9 7 8 9 7 11 4 13 7 15 3 15 6 19 3 Which of the following scatter diagrams accurately represents these data? Scatter Diagram #1 Scatter Diagram #2 Scatter Diagram #3 Consider the following three scatter diagrams of the residuals against the independent variable. Which of the following accurately represents the data? Scatter Diagram #1 Scatter Diagram #2 Scatter Diagram #3 Develop the least squares estimated regression equation (to 3 decimals). Days Absent = + Distance Is there a significant relationship between the two variables? Use = .05. Compute the value of the F test statistic (to 2 decimals). The p-value is What is your conclusion? What is the value of r2 (to 3 decimals)? Note: report r2 between 0 and 1. Did the estimated regression equation provide a good fit? Use the estimated regression equation developed in part (c) to develop a 95% confidence interval for the expected number of days absent for employees living 5 miles from the company (to 1 decimal). ( , )

The Hartman Boat Company's bank statement for the month of November showed a balance per bank of $6,919. The company's Cash account in the general ledger had a balance of $5,659 at November 30. Other information is as follows:

(1)    Cash receipts for November 30 recorded on the company's books were $5,200 but this amount does not appear on the bank statement.

(2)    The bank statement shows a debit memorandum for $40 for check printing charges.

(3)    The total amount of checks still outstanding at November 30 amounted to $5,800.

(4)    The bank returned an NSF check from a customer for $560.

(5)    The bank included a credit memorandum for $1,260 which represents collection of a customer's note by the bank for the company; principal amount of the note was $1,200 and interest was $60. Interest has not been accrued.

Instructions

Prepare a bank reconciliation for the Hartman Boat Company at November 30 and use to answer the following questions.

1) Which transaction numbers went under the bank side of the reconciliation? (Choose all appropriate answers)

1

2

3

4

5

None of the above

2) Which transaction numbers went under the book side of the reconciliation?  (Choose all appropriate answers)

1

2

3

4

5

None of the above

3) How much was the adjusted bank/book balance?  Amount can be entered with or without commas. DO NOT include dollar signs or decimals.

Use MegaStat, MINITAB, or another software package to perform Tukey's test for significant pairwise differences. Perform the test using both the 5 percent and 1 percent levels of significance.

One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic.

Chart:

Time in Examination Rooms (minutes)

Physician 1 Physician 2 Physician 3 Physician 4

34   33 17 28

25   35 30 33

27   31 30 31

31 31 26 27

26 42 32 32

34 33 28 33

21 26 40

29

(a) Calculate the mean for each group and the Turkey test statistic Tcalc for each pair. Provide the critical values for both a = .05 and a = .01. (Input the mean values within the input boxes of the first row and input boxes of the first column. Input Tcalc in the appropriate boxes in the table. Round all answers to 2 decimal places.)

Chart:

Turkey Simultaneous Comparison t-values (d.f. = 24)

Physician 3 Physician 1 Physician 4 Physician 2

_________ __________ _________ __________

Physician 3 _________

Physician 1 _________ __________

Physician 4 _________ __________ _________

Physician 2. _________ __________ _________ _________

Critical values for experimentwise error rates:

0.05 _________

0.01 _________

( "______" is where an answer is needed)

USING THE TABE BELOW,

PART1

1. COMPLETE THE TABLE.
2. PLOT "APP" AND 'MPP" in one diagram.
3. AT WHICH LEVEL OF LABOR DOES "LAW OF DIMINISHING RETURN" START TO APPEAR?
4. AT WHICH. LEVEL OF LABOR DOES MPP CURVE CROSS THE APP CURVE?
5. IN THE BEGINING , AS LABOR INCREASES, DOES APP INCREASE OR DECREASE? BY USING ONE PARAGRAPH, BRIEFLY EXPLAIN WHY.

L Q APP. MPP

0 0 NA NA

1 40. ? ?

2 90 ? ?

3. 150 ? ?

4 200 ? ?

5 240 ? ?

6 270 ? ?

7 290 ? ?

8 300. ? ?

part 2

1.complete the table.'

2.plot ATC, AVC, and MC in one diagram.

3.At which level of output (except Q=1), does MC curve cross the AVC curve?

4.Approximately, at which level of output, does MC curve cross the ATC curve?

5.Does ATC lie above AVC in your diagram, that is, ATC >AVC at each output level? why or why not?

6.Eventually, as output increases, does ATC increase or decrease? By using one paragraph, briefly explain why.

Q TFC TVC TC AFC AVC ATC MC

0 ? ? 30 NA. NA NA. NA

1 ? ? 50 ? ? ? ?

2 ? ? 58 ? ? ? ?

3 ? ? 65 ? ? ? ?

4 ? ? 70 ? ? ? ?

5 ? ? 80 ? ? ? ?

6 ? ? 95 ? ? ? ?

7 ? ? 115 ? ? ? ?

8 ? ? 140 ? ? ? ?

9 ? ? 170 ? ? ? ?

You have been hired as a consultant for Medicals Inc., manufacturer of medical devices. The company projects unit sales for a new dental implant as follows:

Year                 Unit Sales

1                     73,000

2                      86,000

3                      97,000

4                      68,000           

Additional information:

• Production of the implants will require €1,500,000 in net working capital immediately, all of which will be recovered at the end of the project.

• Total fixed costs are €4,200,000 per year, variable production costs are €255 per unit, and the units are priced at €375 each.

• The equipment needed to begin production has an installed cost of €8,500,000. This equipment qualifies as three-year MACRS property (depreciation rates are 33.33% for Year 1, 44.45% for Year 2, 14.81% for Year 3, and 7.41% for Year 4).

• In four years, this equipment can be sold for about 20 percent of its acquisition cost.

• The tax rate is 21 percent and the required return is 24 percent.

Instructions:

1. Complete the pro forma below and determine total cash flows for each year of project’s life. (20 points)

2. Would you recommend to accept or reject the project? Explain your decision. (5 points)