Projects A and B, both of equal risk, are mutually exclusive alternatives for expanding Corporation’s capacity. The firm’s cost of capital is 13%. The cash flows for each project are shown in the following table.

                                    Project A                                              Project B

                        Year 0:             ($80,000)                     Year 0:             ($80,000)

                        Year 1:             $15,000                        Year 1:             $15,000

                        Year 2:             $20,000                        Year 2:             $15,000

                        Year 3:             $25,000                        Year 3:             $15,000

                        Year 4:             $30,000                        Year 4:             $35,000

                        Year 5:             $30,000                        Year 5:             $25,000

            A.        What is each project’s payback period? (4 points)

B.         What is each project’s net present value? (4 points)

In Section 1.8 of the text there are standard translation matrices defined. Choose two and determine their product.

Use the product matrix and determine the transformation of one of the geometric shapes created by the following points:

a) (0, 0), (-3, 3), and (3, 3)

b) (0, 0), (-3, -3), and (3, -3)

c) (0, 0), (3, 3), and (3, -3)

d) (0, 0), (-1, 4), and (1, 4)

e) (0, 0), (-4, 2), and (4, 2)

Do not post a duplicate example.

Then, create your own geometric shape and identify its vertices. Explain how your shape would be transformed by the product matrix.

Let x1 > 1 and xn+1 := 2−1/xn for n ∈ N. Show that xn is bounded and monotone. Find the limit. Prove by induction

1. [1] What is contagion in financial markets and why worry about it?

2. [1] Why are banks regulated?

3. [1] What are the forms of the government safety nets in the financial sector?

4. [1] What are the pros and cons of reducing deposit insurance from $250,000 to $10,000?

5. [1] What are the costs and benefits of a too-big-to-fail policy?

6. [1] What are the costs and benefits of increasing competition in financial markets

7. [1] Why does imposing bank capital requirements on banks help limit risk taking?

1. The business began on April 1, 2016

2. The period under consideration is April 1, 2016 - April 30, 2016.

3. For the purposes of this assignment, ignore the effects of income tax, property tax, sales tax, and payroll tax

. 4. Straight-line depreciation method is used.

5. On April 30, 2016, the company had $150 of Office Supplies and $850 of Lawn & Garden Supplies on hand.

6. The telephone bill for April 2016 for $260 was received May 2016.

7. The utility bill for April 2016 for $185 was received May 2016.

8. For the purposes of this assignment, consider the note payable for the truck purchase to be a current liability. Accounting Transactions for the Period of April 1, 2016 - April 30, 2016 Date Description

April 1, 2016 The stockholders purchase 7,500 shares of $10 par value stock. Total cash received is $75,000.

April 1, 2016 The company took a $30,000 business loan from a local bank. The loan is "interest only" loan for three years at a fixed rate of 10%. A ballon payment of the principal will be due in 3 years. The montly interest payment is due by the 10th of the following month.

April 1, 2016 Management rents a combination office and garage facility for $1,000 per month and pays 4 months ($4,000) in advance by cash in addition to a $1,500 security deposit.

April 1, 2016 Purchased a truck valued at $45,000 with a $15,000 down payment and a 4-year $30,000 note payable with an annual interest rate of 5%. The truck has a 5-year useful life and no salvage value. The monthly payment including principal and interest is $690.88. April 1, 2016 Purchased used equipment and trailers for $25,000 cash. The equipment and trailers have a 5-year useful life and no salvage value.

April 2, 2016 Purchased on account Lawn & Garden Supplies in the amount of $6,000 from Wintergreen Garden Center.

April 4, 2016 Dorsey contracted with two local businesses, Preston Hill B & B and Grace's Diner to provide monthly llandscaping service at a rate of $650 per month. Dorsey Landscape will bill the businesses at the end of each month.

April 6, 2016 Purchased $500 of office supplies on account from ABC Office Supply.

April 8, 2016 Paid invoice from Insurance company for 4 months of coverage beginning April 1, 2015 for a total of $1,600.

April 10, 2016 Receipts of cash from landscaping services in the amount of $5,200 were deposited to bank.

April 14, 2016 Paid 1/2 of amount owed to Wintergreen Garden Center.

April 16, 2016 Paid $1,200 in wage expense for the period April 1 - April 15, 2015.

Aprl 19, 2016 Paid ABC Office Supply invoice for purchases on April 6, 2016.

April 20, 2016 Received $7,500 in cash and checks for landscaping services rendered.

April 24, 2016 Returned $500 worth of lawn and garden supplies to Wintergreen Garden Center and received credit on account.

April 25, 2016 Received $1,000 advance deposit from customer for landscaping work to be stared in May 2016.

April 28, 2016 Paid remaining balance owed to Wintergreen Garden Center.

April 30, 2016 Truck Payment # 1 - Total $690.88 (Principal = $565.88; Interest = $125.00)

April 30, 2016 Paid $1,400 in wages expense for the period April 16 - April 30, 2016. April 30, 2016 Pay credit card in full with the following charges incurred in April 2016: Gasoline - $625; Equipment Maintenance - $375; Dues - $150; Uniforms - $425; Advertising $375; Postage $100

April 30, 2016 Sent invoices to Grace's Diner and Preston Hill B & B for monthly lawn service.

April 30, 2016 Paid dividends to shareholders in the amount of $500.

prepare journal enteries for the transactions

Let ?1 and ?2 be two independent random variables with uniform distribution on [0, 1].

1. Write down the joint cumulative distribution function and joint probability density function of ?1 + ?2 and ?1?2

Section 1. The following questions are conceptual questions based on chapters 1 and 2 (weeks 1 and 2 of the lecture notes). • Suppose that a survey is being planned for purposes of estimating the average number of hours exercising daily by adults (18 years of age or older) living in a certain community. A list of all individuals living in the community is not available; however, a list of all households is available at the office of community clerk.

Identify the following:

• Target Population:

• Variable of Interest, its type and scale of measurement:

• Parameter of Interest:

• Statistic:

• Sampling Frame:

• Case:

. 36 1 2 31 44 1 1 9

Complete the following:

a) Use the bubble sort (page 214) to sort the values showing the order of the values in the list after every pass of the sorting algorithm.

b) What is the time complexity of the sort (use the number of comparisons required as a measure of time.)   

c) Modify the algorithm so it stops if there are no swaps in a complete pass. How many comparisons would be needed in your specific example?

d) Choose one of the following properties of Algorithms and show that the bubble sort has the given property:

• Input: an algorithm has input values;

• Output: from each set of input values an algorithm produces output values that are a solution to the problem;

• Definiteness: the steps in an algorithm must be precisely defined;

• Correctness: an algorithm must produce the correct output values for each set of input values;

• Finiteness: an algorithm should produce the output after a finite number of steps;

• Effectiveness: it must be possible to perform each step in the algorithm in a finite amount of time;

• Generality: the algorithm must be applicable to a category of problems, not a single set of input values.

1- How far you can go in a car in 1 1/2 hours if you are travelling at 60 miles per hour?

2- How much acetic acid, CH3COOH(MWou 60.06 G/MOL) should you weight out to obrain 1.5 mol of CH3COOH?

3- IF a tavle of Tylenol contains 400.0 mg of acetaminophen and the recommended dosage of pain reliever is 2 tables for every 300 minutes . how kilograms can be safely taken in a day?

4- you are in a boat that uses four gallon of gas per hour,travels at six miles per hpur and has ten gallon of gas. Can you make it across the lake to the other shore which is 14 miles away?

5- You can making lunch for 12 people.You plane to give each a " quarter pound" cheeseburger ( 4 burgers per pound of hamburger) a bag of chips and a can of coke.How many packs of buns ,pounds of hamburger and pounds of cheese do you need ?