The following page-reference string:

1, 2, 4, 3, 2, 5, 4, 2, 4, 2, 1, 3, 2, 3, 1, 3, 6, 1, 6, 4.

Main memory with 3 frames of 1 kilobyte available and they are all initially empty. Complete a figure, similar to Figure 8.14(in the slides or textbook), showing the frame allocation for each of the following page replacement policies:

a. Optimal

b. Least recently used

c. First-in-first-out

Then, find the relative performance of each policy with respect to page faults.

A=

. Let W denote the row space for A.

(a) Find an orthonormal basis for W and for W⊥.

(b) Compute projW⊥(1 1 1 1 1 ).

1. In the following table, assume that someone retires in 2006 with an initial income payment of $25,000 per year in benefits. The benefit payment is then indexed to the Consumer Price Index (CPI) for the next 20 years. Assume also that the CPI would rise by 2% per year. Column (1) shows the value of the CPI in each year, using 2006 as the base year. Calculate the indexed nominal benefits by 2% per year in column (2), the real annual benefits in column (3), the indexed nominal benefits by 3% per year in column (4), and the real annual benefits in column (5).

Big Co. owns 60% of Little Co common stock. On 1/1/23 Big Co sold a patent to Little Co for $32,000. The patent had a book value of $20,000 on that date, with a 4 year remaining useful life.

On 5/1/26 Little sells the patent to a third party for $20,000. Little Co reports earnings of $50,000 each year.

Big uses the FULL equity method to account for their investment in Little.

1. How much was the unrealized gain or loss on the sale?

2. How much unrealized gain or loss is carried forward to 2024?

3. What is the "income to the NC Interest" in 2023?

4. In 2026 the patent is sold to some third party. In the elimination entries related to this intercompany sale, what account                      ["Gain on sale", "Retained earnings", "Non-controlling interest", "Investment in Little", "Investment income"] would be credited, for what amount ["1,000", "2,000", "3,000", "4,000"] ?

Big Co. owns 60% of Little Co common stock. On 1/1/23 Big Co sold a patent to Little Co for $32,000. The patent had a book value of $20,000 on that date, with a 4 year remaining useful life.

On 5/1/26 Little sells the patent to a third party for $20,000. Little Co reports earnings of $50,000 each year.

Big uses the FULL equity method to account for their investment in Little.

1. How much was the unrealized gain or loss on the sale?

2. How much unrealized gain or loss is carried forward to 2024?

3. What is the "income to the NC Interest" in 2023?

4. In 2026 the patent is sold to some third party. In the elimination entries related to this intercompany sale, what account                      ["Gain on sale", "Retained earnings", "Non-controlling interest", "Investment in Little", "Investment income"] would be credited, for what amount ["1,000", "2,000", "3,000", "4,000"] ?

QUESTION 4 (2 + 1 + 2 + 1 + 4 =10 marks)

It is believed that cities tend to attract workers that are better educated. A sample of 610 people were classified by their highest education level (Primary and secondary school, Undergraduate and Postgraduate degree) and whether a person is working in a city or a town. The following information was obtained:

• Primary and secondary school: 89 people in total finished primary and secondary school as their highest qualification; 51 people completed their primary and secondary education and work in a city.

• Undergraduate degree: 349 people in total completed undergraduate degree as their highest qualification; 220 people completed their undergraduate degree and work in a city.

• Postgraduate degree: 172 people in total completed postgraduate degree as their highest qualification; 116 people completed their postgraduate education degree and work in a city.

1. What is the probability that a person, who has completed primary and secondary school as their highest qualification, works in a town. Show your working.

2. Let the variable Education represent the highest education level and the variable Working Status represent whether a person is working in a city or a town. Name the dependent variable.

3. We would like to investigate if there is an association between the level of education and whether a person is working in a city or town. What type of test would you conduct and why?

4. State the appropriate hypotheses statements of the test above.

5. Assume that we carry out the test above at the 1% level of significance. The test statistic value is 4.75. State the decision rule, decision, and conclusion in the context of this question. (Hint: You can use a critical value approach OR p-value approach to derive your decision)

Sanders Co. issued $800,000 of 6% bonds on January 1, 2021, due on January 1, 2026, with interest payable each January 1 and July 1. The bonds were sold to yield 10%. If the discount were amortized by the effective-interest method, what amount of interest expense would Sanders report in 2021 related to the bond?

Sanders Co. issued $700,000 of 5% bonds on January 1, 2021, due on January 1, 2026, with interest payable each January 1 and July 1. The bonds were sold to yield 10%. If the discount were amortized by the effective-interest method, what amount of interest expense would Sanders report in 2021 related to the bond?

1. A student borrows $5000 for college from his aunt and uncle on June 1, 2020. He agrees to repay them $500 on 6/1/2021, 6/1/2022, 6/1/2023, and 6/1/2024; plus three additional payments of X on 6/1/2025, 6/1/2026, and 6/1/2027. They agree to an interest rate of 1.5% compounded annually. Find X

2. For the loan described in question #1, write out the amortization schedule for the loan.

Please show steps

Thank You