A charge of -0.4 µC is located at the origin; a charge of 0.53 µC is located at x = 0.2 m, y = 0; a third charge Q is located at x = 0.32 m, y = 0. The force on the 0.53 µC charge is 4.3 N, directed in the positive x direction.

1. Determine the charge

2. With this configuration of three charges, where, along the x direction, is the electric field zero? xf=

3. x2=

A college senior must choose between two Choices: going for an MBA or taking a full-time entry-level-level position right after graduation. She thinks that she has 0.6 probability of completing the MBA in a year. If she completes the MBA, she believes that she has 0.1 probability of getting a manager position; otherwise, she will get a senior staff position. Should she fails the MBA, she will have to take the entry job but with less seniority than what she would have if she had gone to work right after graduation. Once started at the entry-level position for a year, she believes that she has a 50-50 chance of moving up to a junior staff position versus staying at the entry-level position. Her preferences for the possible outcomes of her choice at the end of two years are listed in decreasing order below:

(1) Completing the MBA and getting a management position

(2) Completing the MBA and getting a senior staff position

(3) Moving to junior staff without going to MBA and thus more seniority

(4) Moving to junior staff after failing the MBA

(5) Staying at entry level without going to MBA and thus more seniority

(6) Staying at entry level after failing the MBA

Using the simple decision tree for utility estimation, she has found that she would be indifferent between:

Outcome (2) and a lottery with a 50-50 chance of yielding the best outcome (1) and the worst outcome (6)

Outcome (3) and the lottery if the lottery has a 0.35 probability yielding (1) and a 0.65 probability of yielding (6).

Outcome (4) and the lottery if the lottery has a 0.2 probability yielding (1) and a 0.8 probability of yielding (6).

Outcome (5) and the lottery if the lottery has a 0.1 probability yielding (1) and a 0.9 probability of yielding (6).

6a (10 points) By assigning a utility 0 to (6) and 100 to (1), find the utility for each of the four outcomes between (1) and (6).

6b (10 points) Draw a decision tree for her career decision and find her best Choice for the two-year period

Two rural individuals Matyás and Toka are contemplating leaving their village for a nearby town. Given that Matyás has a secondary school certificate, she has a higher probability of obtaining an urban sector job than Toka, who is a primary school drop out. If they remain in the village and work on their family farms, they earn $200 each per year if the yield is high and $100 per year if the yield is low. The yield will be high with probability 0.5 and low with probability 0.5. Alternatively both these individuals can choose to migrate to town, in which case they each expect to find a formal or informal sector job, paying the following earnings according to the given probabilities.

1. (a) According to the Harris-Todaro model, on a one-year time horizon, which individual will migrate? [2 points]

2. (b) On the three-year time horizon, which individual(s) will migrate? (Assume the rate of interest at which both can borrow or lend money is i = 5%) [5 points]

3. (c) Assume a one-year time horizon. Suppose now that there is a traditional family support payment of $40 that all urban migrants must pay yearly to their relatives back in the village. At the same time, each bears a ‘psychological cost’ associated with moving to the city. Such a cost is $25 for Matyás and $15 for Toka. Again, according to the Harris-Todaro model, which farmer will migrate to town? [5 points]

4. (d) Assume a one-year time horizon, Still maintaining the ‘psychological’ costs associated with moving to the city, suppose now that all formal jobs also come with medical benefits, which are worth $30 a year, in additional to the wage. Informal sector jobs do not carry any such benefits. According to the Harris- Todaro model once again, which individuals will migrate to town? [3 points]

You have a falafel cart and you sell falafel every weekday near Washington Square Park during lunch time. Your daily revenue is normally distributed with a mean of $200 and a standard deviation of $50.

(a) Suppose there is another location that might be worth switching to. You plan to experiment with selling there for awhile, and then use a hypothesis test to determine whether you should switch. If the new location has a normally distributed revenue with a true mean of 210 and a standard deviation of 50, how many days would you have to try selling there to have a power of 50%. Use an α = .05 (significance level).

(b) Suppose you try selling at another location for 16 days, and on average you sell $220 worth of falafel with a sample standard deviation of $36 Using an α = .05, test whether the new location is worth switching to.

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/ unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α = .05. Use both p-Value and Critical-Value approaches.

1. You’re riding your bike in the bike lane through Golden Gate Park. Suddenly, you drift out of the bike lane and into automobile traffic. Fortunately, you quickly move back into the bike lane and continue toward Ocean Beach. This scenario is a metaphor for homeostasis, where the controlled condition (physiologic variable) is the position of the bike on the road (e.g., inside or outside the bike lane). Identify: (a) The established set point for the controlled condition (b) The receptor (c) The control center (integration center) (d) The effector There’s no need to explain the physiology of vision or muscle contraction. Rather, demonstrate your understanding of feedback systems by mapping the components of a feedback system onto this scenario.

2. The three-dimensional shape of a protein determines its function. Briefly explain these terms as they relate to protein shape and provide a supporting example for each: denature, conformational change, genetic mutation. Each example must include a specific protein.

3.Compare and contrast simple diffusion and facilitated diffusion. In other words, how are they similar and how are they different? Provide supporting examples for each.

4.(a) What is the osmolarity of a solution containing 85 mM C6H12O6, 120 mM KCl, and 24 mM CaCl2? Show your calculations. (b) What would happen to human blood cells put in the solution above? Explain.

3. United Park City Properties real estate investment firm took a random sample of five condominium units that recently sold in the city. The sales prices Y (in thousands of dollars) and the areas X (in hundreds of square feet) for each unit are as follows     (40 points)

The owner wants to forecast sales on the basis of the area. Which variable is the dependent variable? Which variable is the independent variable?

Determine the regression equation.

Interpret the values of the slope and the intercept.

Test the significance of the slope at 1% level of significance.

Determine the coefficient of correlation between the sales price and the area.

Interpret the strength of the correlation coefficient.

Determine the coefficient of determination and present its interpretation.

Determine the coefficient of non-determination.

On January 1, 2014, Park Corporation sold a $606,000, 6 percent bond issue (8 percent market rate). The company does not use a discount account. The bonds were dated January 1, 2014, pay interest each June 30 and December 31, and mature in five years. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.) Required: 1. Prepare the journal entry to record the issuance of the bonds. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)

On January 1, 20X0, Washington Park District issued $1000 of 5-year, 6% debentures. Interest is paid semiannually. The market interest rate at issuance was 10%.

1.   Compute the proceeds from issuing the debentures.

2.   Prepare an analysis of this bond transaction. Show entries for the issuer concerning (a) issuance, (b) first semiannual interest payment, (c) second semiannual interest payment, and (d) payment of maturity value.

Note: Use only the relevant present value information for Question 2.

Question UPDATED (3 parts)

Waterways has two major public-park projects to provide with comprehensive irrigation in one of its service locations this month. Job J57 and Job K52 involve 15 acres of landscaped terrain, which will require special-order, sprinkler heads to meet the specifications of the project. Using a job cost system to produce these parts, the following events occurred during December.

Raw materials were requisitioned from the company’s inventory on December 2 for $ 5,064; on December 8 for $ 1,068; and on December 14 for $ 3,450. In each instance, two-thirds (2/3) of these materials were for J57 and the rest for K52.

Six time tickets were turned in for these two projects for a total amount of 18 hours of work. All the workers were paid $ 17.5 per hour. The time tickets were dated December 3, December 9, and December 15. On each of those days, 6 labor hours were spent on these jobs, two-thirds (2/3) for J57 and the rest for K52.

The predetermined overhead rate is based on machine hours. The expected machine hour use for the year is 2,093 hours, and the anticipated overhead costs are $ 837,200 for the year. The machines were used by workers on projects K52 and J57 on December 3, 9, and 15. Six machine hours were used for project K52 (2 each day), and 8.5 machine hours were used for project J57 (2.5 the first day and 3 each of the other days). Both of these special orders were completed on December 15, producing 200 sprinkler heads for J57 and 100 sprinkler heads for K52.

Additional job order activities during this period included:

Part 1

Set up the job cost sheets for Job No. J57 and Job No. K52. Determine the total cost for each manufacturing special order for these jobs. (Round unit costs to 2 decimal places, e.g. 12.25.)

Part 2

Journalize the activities from these job cost sheets in the general journal. Also, journalize the other costs that occurred during this period. (Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem. Round answers to 0 decimal places, e.g. 5,275.)

Part 3

Assuming that Manufacturing Overhead has a debit balance of $ 3,600, determine whether overhead has been under/over applied and make the adjusting entry. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)