Part 1: Encrypt the message CINEMA using RSA with n = 17 * 11 and e = 13, use A =10...Z = 35, work in blocks of one letter each.

Part 2: Decrypt the message 088-164-051-164-021-074 using the same parameters from part 1.

1) Who were the key stakeholders involved in, or affected by, the collapse of Enron?

2) Identify the principles and recommendations of ASX Listing Rules that relates to the independence requirements of the auditor, the directors and the Chairman of the board.

3) Explain the key issues in the area of:

1. Related party disclosures
2. Insider trading
3. Executive remuneration
4. Role of independent auditor

4) Identify the role of senior management in the corporate governance in the Enron’s collapse.

inbound taxation questions

True / False Questions

1. Service revenue is sourced based on the location in which such services are rendered.
2. Income tax treaties can generally only result in an increase in the amount of U.S. tax due.
3. The purpose of the foreign tax credit is to reduce international double taxation.
4. Under present law, a trust is considered a US person only if a US court has primary supervision over the trust’s administration and US persons have the authority to control all substantial decisions of the trust.
5. Fixed or determinable, annual or periodical income from foreign sources is subject to Internal Revenue Code section’s 1441 and 1442.

12. You plan to save for your retirement during the next 30 years. To do this, he will invest 700 dollars a month in a stock account and 300 dollars in a bond account. The performance of the stock account is expected to be 11% and the bond account pays 6%. When you retire, you will combine your money in an account with a 9% return. How much can you withdraw each month from your account if you have a 25-year withdrawal period?

4. Show that the set A = {f_m,b : R → R | m does not equal 0 and f_m,b(x) = mx + b, m, b ∈ R} forms a group under composition of functions. (The set A is called the set of affine functions from R to R.)

For each of the following groups, find all the cyclic subgroups: (a) Z₈, (b) Z₁₀, (c) Z ^x₁₀, (d) S₄.

You bought 500 Forever stamps just before the price went up in January of 2014 at $0.46/stamp, a $0.03 savings per stamp. If you could have paid off a credit card charging 12% per year instead of investing in stamps, how fast must you use the stamps to breakeven? Assume the $0.49 price never changes before you run out of stamps. (Hint use 12% /year as your effective interest rate per year)

a. 3 months

b. 6 months

c. 10 months

d. 12 months

e. 36 months

We saw in class that each LP can be transformed into an equivalent LP in any of the following two forms below: (1) maxcTx: Ax=b, x≥0 (2) maxcTx: Ax≤b. Can we always transform any LP in an LP of the form Prove your answer correct. maxcTx: Ax=b?

For the wave equation, utt = c2uxx, with the following boundary and initial conditions,

u(x, 0) = 0

ut(x, 0) = 0.1x(π − x)

u(0,t) = u(π,t) = 0

(a) Solve the problem using the separation of variables.

(b) Solve the problem using D’Alembert’s solution. Hint: I would suggest doing an odd expansion of ut(x,0) first; the final solution should be exactly like the one in (a).

Project proposal "Exploring the role of small and medium enterprises in Zimbabwe".

Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially there are 23 grams of A and 47 grams of B, and for each gram of B, 1.3 grams of A is used. It has been observed that 17.5 grams of C is formed in 15 minutes. How much is formed in 40 minutes? What is the limiting amount of C after a long time?

Let x, y, z be (non-zero) vectors and suppose w = 12x + 18y + 4z

If z = − 2x − 3y, then w = 4x + 6y

Using the calculation above, mark the statements below that must be true.

A. Span(w, x, y) = Span(w, y)
B. Span(x, y, z) = Span(w, z)
C. Span(w, x, z) = Span(x, y)
D. Span(w, z) = Span(y, z)
E. Span(x, z) = Span(x, y, z)

1. Prove or disprove: if f : R → R is injective and g : R → R is surjective then f ◦ g : R → R is bijective.

2. Suppose n and k are two positive integers. Pick a uniformly random lattice path from (0, 0) to (n, k). What is the probability that the first step is ‘up’?

Determine the edge-connectivity of the petersen graph