1) An asteroid, whose mass is 6.9 × 10^-4 times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 2.9 times the Earth's distance from the Sun. (a) Calculate the period of revolution of the asteroid in years. (b) What is the ratio of the kinetic energy of the asteroid to the kinetic energy of Earth?

2) What must the separation be between a 3.4 kg particle and a 7.4 kg particle for their gravitational attraction to have a magnitude of 4.3 × 10^-12 N?

Use the following for Questions 1 - 4:

You are considering two mutually exclusive projects, A and B.

Project A costs $70,000 and generates cash flows of $12,000 for 10 years.

Project B costs $60,000 and generates cash flows of $2,000 for six years and then cash flows of $29,000 for four years.

Report rates in percentage form to two decimal places i.e. 10.03% not 10%

Question 1

At what discount rate would make you indifferent between choosing one project or another?

Question 2

Which project would you ACCEPT if your discount rate was 10%?

A) Project A

B) Project B

C) Both Project A and B

D) Neither Project A or B

Question 3

Which project would you ACCEPT if your discount rate was 5%?

A) Project A

B) Project B

C) Both Project A and B

D) Neither Project A or B

Question 4

What is the highest discount rate in which you can still produce a non-negative NPV?

Use the following for Questions 1 - 4:

You are considering two mutually exclusive projects, A and B.

Project A costs $70,000 and generates cash flows of $12,000 for 10 years.

Project B costs $60,000 and generates cash flows of $2,000 for six years and then cash flows of $29,000 for four years.

Report rates in percentage form to two decimal places i.e. 10.03% not 10%

Question 1

At what discount rate would make you indifferent between choosing one project or another?

Question 2

Which project would you ACCEPT if your discount rate was 10%?

A) Project A

B) Project B

C) Both Project A and B

D) Neither Project A or B

Question 3

Which project would you ACCEPT if your discount rate was 5%?

A) Project A

B) Project B

C) Both Project A and B

D) Neither Project A or B

Question 4

What is the highest discount rate in which you can still produce a non-negative NPV?

1. Describe any four (4) suitable situations that may lead to the valuation of shares.

The trial balance of Pacilio Security Services, Inc. as of January 1, Year 4, had the following normal balances:

In Year 4, Pacilio Security Services decided to expand its business to sell security systems and offer 24-hour alarm monitoring services. It plans to phase out its current service of providing security personnel at various events. The following summary transactions occurred during Year 4:

1. Paid the salaries payable from Year 3.
2. Acquired an additional $42,000 cash from the issue of common stock.
3. Rented a larger building on May 1; paid $6,000 for 12 months’ rent in advance.
4. Paid $800 cash for supplies to be used over the next several months by the business.
5. Purchased alarm systems for resale at a cost of $12,000. The alarm systems were purchased on account with the terms 2/10, n/30.
6. Returned alarm systems that had a cost of $240.
7. Installed alarm systems during the year for a total sales amount of $20,000. Sales of $15,000 were on account, while $5,000 were cash sales.
8. The cost of the systems sold in Event 7 amounted to $9,440.
9. Paid the installers and other employees a total of $9,500 in salaries.
10. Sold $36,000 of monitoring services for the year. The services are billed to the customers each month.
11. Paid cash on accounts payable. The payment was made before the discount period expired. At the time of purchase, the inventory has a cost of $8,000 and was purchased under the terms 2/10, n/30.
12. Paid cash to settle additional accounts payable in the amount of $2,780. The payment was made after the discount period expired.
13. Collected $43,000 of accounts receivable during the year.
14. Performed $12,000 of security services for area events; $9,000 was on account and $3,000 was for cash.
15. Paid advertising cost of $1,620 for the year.
16. Paid $1,100 for utilities expense for the year.
17. Paid a dividend of $12,000 to the shareholders.

Adjustment Information

18. Supplies of $150 were on hand at the end of the year.
19. Recognized the expired rent for the year.
20. Recognized the balance of the unearned revenue; cash was received in Year 3.
21. Accrued salaries at December 31, Year 4, were $1,500.

In representing -1/4 in IEEE 754, the value of the exponent plus bias (127) is

11111101

01111101

10000000

01111111

PART 1

Below there are the 4 steps for analyzing short run and long run macroeconomic fluctuations. Apply them when answering the following two scenarios:

1.1 How does the increase in AI (Artificial Intelligence) affect the economy (AS-AD)? Follow the 4 steps below and present the excel graph or handwritten graph.

1.2 How does a reduction on exports affect the economy (AS-AD)? Follow the 4 steps below and present the excel graph or handwritten graph..

4 Steps for Analyzing Short-Run and Long-Run Macroeconomic Fluctuations

1. Decide whether the event creates a shift or a movement along the AD curve or the AS curve (or perhaps both).

2. Decide in which direction the curve moves or shifts.

3. Use the graph of AD and AS to determine the impact on output and the price level in the short-run. (create an excel graph with a logical AD and AS for the short run).

4. Use the graph of AD and AS to analyze how the economy moves from its new short-run equilibrium to its long-run equilibrium.

prove that for x is an odd, positive integer, 3x ≡−1 (mod 4). I'm not sure how to approach the problem. I thought to assume that x=2a+1 and then show that 3^x +1 is divisible by 4 and thus congruent to 3x=-1(mod4) but I'm stuck.

Give reasons for the following statements (4 – 5 lines)

1. Underwriting is not compulsory; despite this, a number of reputed companies for their public issue go in for at least partial underwriting

2. While the percentage allotment for non-retail investors in a book-built issue is the maximum, the % allotted to retail investors is the minimum

3. Any VCF wants to exercise exit option say after 5 years of funding

4. VCF does not do angel funding or incubation funding in India whereas this is being done regularly by them in foreign countries

5. A sharebroker is the only common service intermediary between the primary and secondary markets; his role is different. What are his roles in these two segments?

What are the 4 types of hypersensitivities (allergic responses)? Give an example of each. Types 1, 2, and 3 are similar in what way?