1.A space force service member finds himself floating 100 m from the ship in a training exercise where the drill instructor threw him out of the ship at 1 m/s. He is equipped with a shotgun that is built to work in space. The slug has a mass of 30 grams. He knows from the D.I.s’ safety brief that conservation of momentum and Newton’s third law of motion states if he shoots in the opposite direction he wants to go, he will move in the opposite direction. If his mass including spacesuit is 150 Kg and he has a 3.5 kg shotgun (Including ammo), what is the minimum speed of the slug to get him back to the ship? [12 gauge Mossberg 500 muzzle velocity is around 470 m/s] Is this velocity the space force member needs reasonable?

2. One solution to “artificial gravity” is to have space force service members on the inside of a rotating drum spinning on its axis at a constant rate. In micro gravity the human body does not do well for long periods of time. Muscle atrophy, bone loss, cataract... If the diameter of the space station is 800 m, how many revolutions per minute are needed for the “artificial gravity” acceleration to be 9.80 m/s2? (b) If the space station is a waiting area for space force members going to Mars, it might be desirable to simulate the acceleration due to gravity on the Martian surface is 3.70 m/s2. How many revolutions per minute are needed in this case?

Need assistance responding to this discussion post in personal opinion.

You’ll find that managers are also the shareholder or the owner of a company. In these cases, the shareholders interests line up with the goal of the firm. Technically, what benefits the company would also benefit the shareholder. You’ll also see that when the shareholder or owner is not playing the manager role, there’s a disconnect between both the shareholder and manager’s interest (Stout, 2002). The manager usually would make decisions based off of what will benefit him instead of the firm’s success. An example of this would be when a manager is spending the corporate credit card to buy non-business uses of an event. This lack of connect between the shareholder and manager’s interest is called agency problem. The unnecessary use of non-business purpose on the company’s credit card or expense can decrease the profitability of that firm. Poor performing companies have been built to take extensive defense against takeovers. When a takeover defense is made, this action triggers the defenses. When a takeover takes places, management are usually first to exit their roles in the firm. What usually increases the agency problem is putting in place a takeover defense that are not related to managerial packages. For example, continuance of underperforming will not be resulting in job loss or security. Therefore, managers are more than likely to put themselves first in this type of companies. These managers in takeover defense firms would have to put in the extra work for lower pay and also avoid such actions that can be damaging to the company.

Below is a quote from Dr. Badu Sarkodie (Director, Public Health of the Ghana Health Service) in a response to a question of where Ghana is on the curve on the COVID-19 curve, during the ministry of information press briefing on 5th May, 2020 “…The best way to assess this curve is to use the daily case incidence. Thus, everyday how many cases we do record and put them on a chart and then clearly you get the case load being built, reach its peak and get to a decline and finally to zero. The next best proxy data for this should be the date for onset for symptoms. If you do not have that, the next line will be the date the various people reported to the facility (i.e. the date they were seen at the facility). The next to that will be the date the sample was taken. If you look how Ghana started attacking the virus, waiting not to chase the virus but to face it directly, by doing enhance contact tracing, there are a lot of people that we tested without they having symptoms. Therefore, if we were using the daily case incidence with onset of symptoms, then we will have a challenge. So clearly the best data we are using for this bell-shaped curve is the data for the date samples were tested….” (a) State the three occurrences for measuring incidence of illness stated in the quote above. [3 marks] (b) (i) State the measure of occurrences that are being used to measure incidence of COVID-19 in Ghana according to the quote above. [3 marks] (ii) Why is this measure preferred to the other measures of occurrence? [4 marks]

Write a program in C language

1- Define a struct for students with the aforementioned attributes, test it by populating one
initialized struct variable with arbitrary input and take screenshots of the
output.

2- For each student, struct add an array of
number grades for a class the students are enrolled in such as S E 185. Then
write functions which find the max, average, and minimum score for a specified
assignment identified by a number, for example, Assignment 0 will be found at
index 0 of each student.
Create a new struct called university with the following attributes: university
name, an array of struct students, built year, and location. Create some random
students and assign those students to an arbitrary university. Create three
different universities with different students

3- Create a struct pointer variable for a student. You can initialize a struct pointer
variable in a similar way to a primitive variable type pointer initialization. We are
going to do some simple pointer to struct accesses. This part can be
counterintuitive and confusing so make sure you take your time on this part. The
difference between accessing structs and pointer structs is the notation used to
access the inherent attributes of the struct. To access an attribute of a pointer
struct, we use “->” and we do it as follows: Suppose we have a pointer struct
called menu that has attributes food and drink. We can access an attribute like
this: menu -> drink or menu -> food. Your task for this problem of the lab is to
initialize some pointer structs for students and populate them using pointer
notation.

Urban owns a valuable 10 acre plot of property which he wants to divide in half (into two 5 acre parcels) and sell one of the halves. He tells Lovie that he can build 100 apartments on one of the halves, and specifically describes where the property lines would be (“It goes out to that tree, then to the water, then back…”). Lovie agrees to buy half from Urban, “as is” and they arrange to have the land surveyed. Urban was present when the survey was done and saw where stakes were pounded into the ground to mark the property boundary lines. Urban didn’t like where the lot lines were set because he would have been forced to keep a less valuable part of the property that was partially under water because of wetlands. After the surveyor left, and while Lovie was not present, Urban went onto the property and, without consent, moved the stakes marking the lot lines to make them MUCH more favorable to him. As a result, Lovie got less usable and valuable property than he bargained for and less than he was told he would get. Because of the wetlands on the property with the “revised” lot lines (as changed by Urban), there was no way Lovie could have built 100 apartments on the property. Can Lovie sue Urban? If so, under what legal theory? Identify the relevant theory (s) and analyze it, i.e. apply the theory to the facts and tell me who wins (and why).

Need assistance responding to this discussion post in personal opinion.

You’ll find that managers are also the shareholder or the owner of a company. In these cases, the shareholders interests line up with the goal of the firm. Technically, what benefits the company would also benefit the shareholder. You’ll also see that when the shareholder or owner is not playing the manager role, there’s a disconnect between both the shareholder and manager’s interest (Stout, 2002). The manager usually would make decisions based off of what will benefit him instead of the firm’s success. An example of this would be when a manager is spending the corporate credit card to buy non-business uses of an event. This lack of connect between the shareholder and manager’s interest is called agency problem. The unnecessary use of non-business purpose on the company’s credit card or expense can decrease the profitability of that firm.

Poor performing companies have been built to take extensive defense against takeovers. When a takeover defense is made, this action triggers the defenses. When a takeover takes places, management are usually first to exit their roles in the firm. What usually increases the agency problem is putting in place a takeover defense that are not related to managerial packages. For example, continuance of underperforming will not be resulting in job loss or security. Therefore, managers are more than likely to put themselves first in this type of companies. These managers in takeover defense firms would have to put in the extra work for lower pay and also avoid such actions that can be damaging to the company.

I want to to calculate the area between the x-axis and the function f(x) = sin(x) on the interval [0, pi]. The area we seek is enclosed in a rectangle bounded by the curves. x = 0, x = pi, y = 0, y = 1. Since we know the area of the rectangle is pi, we can generate random points inside the rectangle and keep track of how many of those points lie below the curve y = sin(x). A bit of algebra involving ratios, and you can estimate the area under the curve.

For the purposes of this task, we can assume that we know the value of pi, as provided by Matlab's built in library of constants. We assume that we do not know the true value of the integral (area), and so as stopping criteria, we will use percent change. I want the process to terminate when [A(k) - A(k-1)]/A(k-1) is less than 0.01.

You should try running the program with an error tolerance of 0.001 just to see how much longer it takes. You may have to terminate the process, as getting that level of precision might take a great many random numbers.

In the above notation, A(k) represents the approximated Area when 10^k random points are generated. Use k values of 0, 1, 2, 3, etc. Non-integer values of k will produce a non-integer value of 10^k, and I don't now if your code could interpret that correctly.

1. Jacqueline and Keith Sommers are considering the implications of refinancing their 30-year mortgage (interest rate = 7.25%) that they purchased 5 years ago at $300,000 (20% down payment and 80% mortgage loan monthly payment). Now after 5 years (60 monthly payments) the balance of loan has been reduced to $226,509.07.

Rates have declined considerably, and a major refinancing frenzy is underway.

They are trying to determine whether they should go in for a 15-year mortgage at 2.75% per year and whether they should ‘cash out’ the excess equity that has been built over the past 5 years.

Required:

a. What is Jacqueline and Keith’s monthly mortgage payment prior to the refinancing?

b. What percentage of the second payment was interest and what percentage applied to payment of the loan?

c. During the first 5 years, how much has the couple paid towards the mortgage. What proportion of this was applied toward interest?

d. Had the couple opted for the 15-year mortgage (15 year, 6.25%), how much higher would their monthly payment have been?

e. If the house is currently worth $355,000 and most lenders are willing to lend up to 90% of home value, how much excess equity can the Sommers cash out?

f. Under the original 15-year, 6.25% mortgage, how much interest would have been paid over the life of the loan? How does this compare with the 7.25%, 30-year mortgage? Please show all work.

Sterling, Inc. is a manufacturer of state-of-the-art computers. For the past ten years, Sterling has acquired all of its microchips from NoBugs Corporation, the only producer of chips meeting Sterling's high specifications. The relationship has been mutually profitable. Sterling could not have built its reputation as an industry leader without NoBugs's reliable and consistently high-quality products; Sterling's business has enabled NoBugs to grow rapidly while providing its investors with an attractive rate of return. Some months ago, several of Sterling's computers exploded shortly after installation. Upon investigation, Sterling discovered that tiny imperfections in NoBugs's microchips had aggravated a dormant design defect in the computers, causing the explosions. Analysis of the chips indicated that they were indeed below specifications and that the imperfections were caused by a slight miscalibration of NoBugs's encoding equipment. NoBugs recalibrated the equipment and promptly resumed production of perfect chips. Sterling's losses from the explosions - lost profits, out-of-pocket costs associated with compensating customers for the explosions, and injury to business reputation - are estimated to exceed $20 million. Sterling and NoBugs disagree on the amount of the loss for which NoBugs should be responsible. Sterling has a strong legal case for breach of contract against NoBugs. Sterling's CEO is considering a lawsuit. She asks you to prepare a report discussing litigation strategy and the advantages and disadvantages of litigation; and discussing pretrial planning should the company opt for litigation.