A particle with charge 3.20×10¹⁹ C is placed on the x-axis in a region where the electric potential due to other charges increases in the +x direction but does not change in the y or z-direction.

Part A:
The particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x-axis, increasing its kinetic energy by 1.60×10¹⁹J. In what direction and through what potential difference Vb-Va does the particle move?

a. The particle moves to the left through a potential difference of Vb-Va = 0.500 V.
b. The particle moves to the left through a potential difference of Vb-Va = -0.500 V
c. The particle moves to the right through a potential difference of Vb-Va = 0.500 V.
d. The particle moves to the right through a potential difference of Vb-Va = -0.500 V.
e. The particle moves to the left through a potential difference of Vb-Va = 5.00 V.
f. The particle moves to the right through a potential difference of Vb-Va = -5.00 V.

Part B:
If the particle moves from point b to point c in the y-direction, what is the change in its potential energy, Vc-Vb?

a. + 1.60×10¹⁹J
b. - 1.60×10¹⁹J
c. 0

Molarity of standard NaOH solution: x/1 H 2/3 Unknown + 2/3 NaOH -> 2/3 H2O +Na 2/3 Acetate

Vinegar:	Titration 1	Titration 2	Tirtration 3
Initial V of Acid	.01 mL	5.56 mL	11.32 mL
Final V of Acid	5.56 mL	10.71 mL	16.02 mL
Inital V of Base	.01 mL	27.12 mL	3.01 mL
Final V of Base	22.23 mL	44.71 mL	24.90 mL

Unknown Acid code and number of reactive hydrogens: H+3

Unknown Acid	Titration 1	Titration 2 (Error)	Titration 3	Titration 4
Mass of Acid	.1024 g	.1028g	.1021g	.1023g
Initial V of Base	24.90 mL	37.80 mL	45.5 mL	9.24 mL
Final V of Base	37.80 mL	45.5 mL	9.24 mL	17.80 mL

4. Find the molarity of the vinegar for each of your three vinegar titrations, then find the average molarity of the acid.

5. Find the percent deviations for your three vinegar molarities for the vinegar titrations.

6. From the moles of acetic acid for each vinegar titration, find the mass of acetic acid for that titration

Write a Python/NetworkX function add_weights(G1, G1), where G1 and G1 are intended to be graphs with exactly the same edges and such that each edge has either no attribute or a single attribute, ‘weight’, with a numerical value. It returns a graph, say, G3, that has the same edges as G1 and G2. Each edge e of G3 has a single attribute, ‘weight’, whose value is the sum of the ‘weight’ attributes of e in G1 and of e in G2 if ein G1 and e in G2 both have attribute ‘weight’. Otherwise, if e in one of G1 or G2 has attribute ‘weight’, then the value of ‘weight’ in G3 is the value of that ‘weight’ attribute. Otherwise (i.e., neither e in G1 nor e in G2 has attribute ‘weight’), the value of attribute ‘weight’ in e in G3is 0. This function returns G3.

Note that, where G is a graph with an edge (u, v), G[u][v] counts as False in a position expecting a Boolean value if the edge (u, v)in G has no edge attributes. This is useful in this problem since an edge either has a single attribute, ‘weight’, or has no attribute.

The following is test code, followed by its output.

if __name__ == "__main__"  :     

    Ga = nx.Graph()

    Ga.add_edges_from([(0, 1, {'weight': 2}), (1, 2, {'weight': 4}),

                      (2, 3), (3, 1, {'weight': 2}), (0, 3)])

    Gb = nx.Graph()

    Gb.add_edges_from([(0, 1, {'weight': 3}), (1, 2, {'weight': 5}),

                      (2, 3, {'weight':3}), (3, 1), (0, 3)])

           

    for u, v, attr in add_weights(Ga, Gb).edges(data=True):

        wGa = Ga[u][v]['weight'] if Ga[u][v] else None

        wGb = Gb[u][v]['weight'] if Gb[u][v] else None

        print("Edge ({}, {}): {} + {} = {}".format(u, v, wGa, wGb,

                                                    attr['weight']))

Output:

Edge (0, 1): 2 + 3 = 5

Edge (0, 3): None + None = 0

Edge (1, 2): 4 + 5 = 9

Edge (1, 3): 2 + None = 2

Edge (3, 2): None + 3 = 3

You are working on your second project as an equity research intern at a bulge investment bank. Your focus is in retail space, especially in the health and fitness sector. Currently, you are gathering information on a fast-growing chain fitness company called LuluYoga. You are interested in calculating the free cash flow of the firm. LuluYoga offers yoga classes in several major cities in the United States. Two major revenue resources are selling workout gear and membership passes for class access. Assume at the beginning of year 2016, LuluYoga has zero inventory. In year 2016, LuluYoga purchased 10,000 yoga mats at a price of $10 each. The company sells 6,000 mats at a price of $15 in year 2016 and sells the remaining at a price of $20 in year 2017. In year 2016, LuluYoga sells 1,000 membership passes for $2,000 each. 80% of the classes purchased were used in 2016 and the rest are used in 2017.The yoga master’s compensation to teach classes are $300K in year 2016 and $200K in year 2017. LuluYoga pays corporate tax of 35%.

Q1. What is the change of NOWC in year 2016?

AmaZing company has its job-costing system including two categories of direct costs: direct materials and direct manufacturing labor and one indirect-cost pool. Manufacturing overhead allocated at a budgeted $31 per machine-hour in 2016. The following data (in thousands) show operating costs for 2016.

Materials control, Jan 1, 2016                                                                        20

WIP Control, Jan 1, 2016                                                                                 9

Finished Goods Control, Jan 1, 2016                                                               10

Finished Goods Control, Dec 31, 2016                                                           11

Materials and Supplies purchased on credit                                                   154

Direct materials used                                                                                       145

Indirect materials issued to various production departments                        19

Direct manufacturing labor                                                                             100

Indirect manufacturing labor by various production departments                43

Depreciation on plant                                                                                     28

Miscellaneous manufacturing overhead (utilities..)                                       13

Cost of goods sold                                                                                            294

Manufacturing overhead allocated 3,000 machine-hours

1. Calculate Materials control on Dec 31, 2016                    

2. Prepare journal entries. What is the cost of goods manufactured?

3. Calculate the amount of under- or overallocated manufacturing overhead

At the end of April 2016, Kingston Productions Ltd had 350 units of product MK120 in store. For the month of May 2016, the company budgeted to produce 5,000 units of the product at a selling price of $2,000 each. Fixed production, administration and selling expenses were expected to be $1,500,000, $1,000,000 and $800,000 respectively. During the month, the company produced 4,500 units of the product. On May 31, 2016, there were 550 units of the product on hand. The following cost information relating to the product was made available at the end of May 2016:

                            Cost per unit

Details	$
Direct material	300
Direct labour	350
Variable production overheads	300
Total	950

Required:

What was the fixed production overhead cost per unit for Product MK120?

Determine the full cost per unit in May 2016 for Product MK120.

How many units of Product MK120 were sold in May 2016?

Calculate the profit for May 2016 using the marginal costing approach.

Compare the profit result above using absorption costing techniques.

Reconcile the profit results obtained above. (3 marks

Rolt Company began 2016 with a $120,000 balance in retained earnings. During the year, the following events occurred:

1. The company earned net income of $80,000.
2. A material error in net income from a previous period was corrected. This error correction increased retained earnings by $9,800 after related income taxes of $4,200.
3. Cash dividends totaling $13,000 and stock dividends totaling $17,000 were declared.
4. One thousand shares of callable preferred stock that originally had been issued at $110 per share were recalled and retired at the beginning of 2016 for the call price of $120 per share.
5. Treasury stock (common) was acquired at a cost of $20,000. State law requires a restriction of retained earnings in an equal amount. The company reports its retained earnings restrictions in a note to the financial statements.

Required:

1. Prepare a statement of retained earnings for the year ended December 31, 2016.

ROLT COMPANY
Statement of Retained Earnings
For Year Ended December 31, 2016
Retained earnings, as previously reported, January 1, 2016		$
Adjusted retained earnings, January 1, 2016		$
		$
	$
Retained earnings, December 31, 2016		$

Suncor Energy Inc. (SU) shares are listed on the New York Stock Exchange. At 9:30 a.m. on January 14, 2016, these shares sold for $21.85 per share. The volatility on the returns of Suncor shares is approximately 24%. The following call and put option contracts were available for the months of January, February, and March:

	CALLS
Strike/Expiry	January 22, 2016	February 19, 2016	March 18, 2016
23	0.34	0.72	0.96
24	0.13	0.41	0.69
25	0.25	0.26	0.40

	PUTS
Strike/Expiry	January 22, 2016	February 19, 2016	March 18, 2016
23	1.28	2.01	2.14
24	2.63	2.80	2.92
25	3.60	3.70	3.95

Each option contract involves 100 shares. The risk-free rates for these three expiration dates are 0.6%, 1%, and 1.2%. All three rates are continuously compounded.  

a. Construct a box-spread using the March option contracts with exercise prices of 24 and 25.

b. Construct a profitable riskless arbitrage opportunity using this box-spread, with the requirement of $0 investment today. Calculate the NPV of the riskless profit.

Does regular exercise reduce the risk of a heart attack in males over 40 years of age? Here are two ways to study this question.
STUDY A: A medical researcher finds 2000 men over 40 who have had heart attacks. She also finds 2000 men over 40 who have not had a heart attack. She asks each man in each group whether they exercised regularly as part of his usual lifestyle.
STUDY B: Another researcher finds 4000 men over 40 who have not had heart attacks and are willing to participate in a study. She assigns 2000 of the men to a regular program of supervised exercise. The other 2000 continue their usual habits. The researcher follows both groups for three years.
a) Name the explanatory and response variables in this study.
b) What type of study design is used in each of Study A and Study B?
c) Which design will produce more trustworthy data? Explain why.
d) Draw a schematic diagram to outline the design above that is an experiment

The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black and white drawings in order to detect brain damage. The GNT population norm for adults in England is 20.4. Researchers wondered whether a sample for Canadian adults had different scores from adults in England (Roberts, 2003). If the scores were different, the English norms would not be valid for use in Canada. The mean for 30 Canadian adults was 17.5. Assume that the standard deviation of the adults in England is 3.2. How can we calculate a 95% Confidence Interval (CI) for these data?

1. Calculate a 95% CI and a 90% CI for this data.
2. Are the English norms valid for use in Canadian use? Explain how you know your answer to be true.
3. How do the two CI’s (95% and 90%) compare to one another?
4. What is the effect size for these data?
5. What does this effect size indicate about the meaningfulness of this test for Canadians?
What would you recommend doing to increase the power of this experiment?