8). 2 charges, 12.33 µC each, are located at two vertices B & C of an equilateral triangle ABC with sides 2 cm each. Another charge q is located at point A. Calculate q in micro Coulomb so that net POTENTIAL at the mid point of BC will be ZERO.

9). Three charges, + 22 uC, - 22 uC and + 22 uC are placed at A (0,5cm), B (5cm,0), C(-5cm,0). Calculate the potential energy of the whole system of charges.

10). Two charges, one is at A with - 30.11 nC and other is at B with +9* 30.11 nC are seperated by 1 m. Find the distance AC in cm for which electric POTENTIAL at point C is zero. Point C is located on line AB.

Billy and Peg have two children, ages 8 and 14. They spent a total of $6,200 this year ($3,100 per child) on employment related expenses for the care of their children after school. Billy earned a salary of $17,000 and Peg earned a salary of $19,000. They do not have any deductions for AGI, and they file a joint return. Calculate the dollar amount of their tax credit for child and dependent care expenses.

A. $1,380. B. $1,035. C. $1,488. D. $720.

Beryllium-8 is an unstable isotope and decays into two α particles, which are helium nuclei with mass 6.68×10−27kg. This decay process releases 1.5×10−14J of energy. For this problem, let's assume that the mass of the Beryllium-8 nucleus is just twice the mass of an α particle and that all the energy released in the decay becomes kinetic energy of the α particles.

a) If a Beryllium-8 nucleus is at rest when it decays, what is the speed of the  α particles after they are released?

b) If the Beryllium-8 nucleus is moving in the positive x-direction with a speed of 1.0×106 m/s when it decays, what is the speed of the slower-moving α particle after it is released? Assume that the α particles move entirely in the x-direction.

c) If the Beryllium-8 nucleus is moving in the positive x-direction with a speed of 1.0×106 m/s when it decays, what is the speed of the faster-moving α particle after it is released?  Assume that the α particles move entirely in the x-direction.

8) Brandon and Taylor are married and have two dependent children. Their 2019 tax and other related information is as follows:

Compute Brandon and Taylor's taxable income. (Show all calculations.)

Compare two alternatives, A and B on the basis of a present worth evaluation using i=8% per year and study period of 8 years. Which alternative should be selected based on PW calculation and what is the PW value of the selected alternative?

Show work for both alternatives. No excel.

8. Edelman Engineering is considering including two pieces of equipment, a truck, and an overhead pulley system, in this year's capital budget. The projects are independent. The cash outlay for the truck is $15,000, and that for the pulley system is $21,000. The firm's cost of capital is 11%. After-tax cash flows, including depreciation, are as follows:

Calculate the IRR, the NPV, and the MIRR for each project, and indicate the correct accept/reject decision for each. Do not round intermediate calculations. Round the monetary values to the nearest dollar and percentage values to two decimal places. Use a minus sign to enter negative values, if any.

Case Study There two sets of questions for this module, 1-4 and 5-8, for a total of eight questions. Using the concept of the epidemiological triangle to complete one of the following case studies: John J. is a school nurse at Jackson Elementary School, which was built in 1960. Nurse John has noticed that many students from Ms. Zee’s second grade class have come to the clinic complaining about coughing, sneezing, runny nose, and watery eyes. Nurse John has also observed that Steven Tea, the only asthmatic student in Ms. Zee’s class, has had more asthma attacks this year than he did last year. Because the rest of the school is not experiencing the same respiratory problems, Nurse John is concerned that something in Ms. Zee’s classroom is causing students to feel ill. Nurse John decides to visit Ms. Zee’s classroom. Upon entering the classroom, one of the few located in the school’s basement, John is struck by the powerful musty smell that inhabits the room. While talking to Ms. Zee, John learns that the classroom has “smelled bad for years,” and that students from previous years have complained about respiratory problems. Nurse John notes that Ms. Zee has stuffed a blanket at the base of the classroom’s small rectangular window near the ceiling because the window does not close completely. John suspects that Ms. Zee’s classroom walls are contaminated with mold. Upon further research, Nurse John learns that if water gets between the exterior and the interior of a building’s wall, mold can grow in the moist environment. This situation can occur as the result of construction defects in the building (e.g., leaky windows). Nurse John also learns that people who are exposed to extensive mold growth may experience allergic reactions, such as hay fever-like allergy symptoms, and that people who already have a chronic respiratory disease, such as asthma, may have trouble breathing when exposed to mold. Nurse John is concerned about the possible mold contamination effect on his asthmatic student, Steven.

1. Identify the agent, host, and environment in this case study, and describe how they interacted to bring about the occurrence of disease.

2. Is the mold contamination in Ms. Zee’s room a point-source pollutant or a non–point-source pollutant?

3. What can Nurse John do to learn more about indoor air quality (IAQ) and about what to do in case of mold?

4. What are some possible interventions that Nurse John could apply to address the mold contamination in Ms. Zee’s room?

This information is related to the primary care provider who orders a blood lead level, which comes back at 45 mcg/dL. On further investigation you discover that Billy’s home was built before 1950. At that time the home is tested, and the dust shows high lead levels. Due to Billy’s age and associated behaviors, such as hand to mouth activities, you determine that the lead dust in the home is a probable exposure, and that Billy should not return to the home. You must also consider multiple sources of exposures.

5.What other sources of exposure might exist?

6.What would you include in an assessment of this situation?

7.What prevention strategies would you use to resolve this issue? At the individual level? The population levels?

Andrew (52) and Kristin (46) are the married parents of two young children (ages 8 and 9). Andrew is employed as a biologist for a start-up medical firm with a stable annual salary of $200,000. Kristin works part time as a pharmacist making $125,000/year. Andrew and Kristin have different levels of risk tolerance. Andrew tends to be a riskier investor and Kristin is by far more conservative. The family has no outstanding debt outside of a mortgage on their primary residence. The outstanding mortgage balance totals $280,000 against a fair market value of the home of $520,000. Their liquid assets consist of jointly held bank deposits ($10,000), mutual fund ($78,000) and combined retirement assets of $500,000. The only life insurance they own is a one-year term policy on John through his employer that covers 2x his base salary. Kristin does not carry any life insurance. The family spends roughly 37% their combined base salaries on taxes, with the remainder used to provide for their family. They plan to retire at age 67. Assume a 5% opportunity cost in any analysis. The couple’s goals are to provide enough life insurance in the event of their premature death to provide for their children to age 18 and to provide some funds for their college education ($200,000 in total for both kids).Please complete the following:1) Determine the “family type” Andrew and Kristin represent and discuss the level of need for life insurance given this family type. 2) Calculate the amount of insurance (on one or both) they should obtain given their personal information and goals as noted above using the multiple approach, the needs approach, the capital retention approach and human life value 3) Finally, what type of life insurance would you recommend they obtain and why?

Two years ago, a political party ASR received 9:8% of the votes in an election. To study the current political preferences, a statistical research institute plans to organise a poll by the end of the present year. In this study, n voters will be interviewed about the political party they prefer. Below, p, denotes the proportion of voters that would vote ASR if the elections were held now. Furthermore, bp denotes the (random) sample proportion of the ASR voters.

(a) Suppose that n = 500. Determine an interval that with probability 0:90 will contain the (not yet observed) realisation of bp if p were the same as two years ago. (6)

(b) Find random bounds (depending on p) that will include the proportion p with probability 0:95. Express the width of the accompanying interval in terms of p and n. (4)

(c) The interval in part (b) will be the starting point to create, at the end of the current year, when the data are observed, an interval that will probably contain the proportion p. How large should the sample size be to obtain an interval width about 0:02? (Hint: Substitute the former proportion 0:098 for p in the width of part (b).) (5)

(d) At the end of the year, n randomly chosen voters are interviewed with n as calculated in part (c); the realisation of bp turns out to be 0:853. Use the interval in part (b) as a starting point to create an interval that will probably contain the population proportion p. Is the width of that interval indeed about 0:02? (5)

Using a two year semiannual 8% coupon bond, 1000 par, with a 5% YTM. For this question find all answers to at least the 6th decimal place.

Calculate the price of this bond

Calculate duration and modified duration

Price the same bond with a YTM of 6% and 10% as you did in the first part