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Based on what you have learned about available community resources in Wayne County, New York, and based upon your work with Mr. Potts, prepare a report to Supervisor Rexford that identifies at least 3 community resources (these can be any combination of treatment, prevention, education, etc.) that you believe would be an appropriate referral for Mr. Potts. For each community resource you identify, address the following:

• Why do you believe it to be an appropriate referral for Mr. Potts specifically?
• What do you believe Mr. Potts will get out of the referral to this resource?
• What is your goal for Mr. Potts in terms of referring Mr. Potts to this resource?
• Rank each of the 3 resources to which you referred Mr. Potts, from most needed to least needed.
• You should also address whether you believe this community lacks any resources for Mr. Potts to which you would have made a referral if it existed in this county.

To study the growth of a population mathematically, we use the concept of exponential models. Generally speaking, if we want to predict the increase in the population at a certain period in time, we start by considering the current population and apply an assumed annual growth rate. For example, if the U.S. population in 2008 was 301 million and the annual growth rate was 0.9%, what would be the population in the year 2050? To solve this problem, we would use the following formula:

P(1 + r)ⁿ

In this formula, P represents the initial population we are considering, r represents the annual growth rate expressed as a decimal and n is the number of years of growth. In this example, P = 301,000,000, r = 0.9% = 0.009 (remember that you must divide by 100 to convert from a percentage to a decimal), and n = 42 (the year 2050 minus the year 2008). Plugging these into the formula, we find:

P(1 + r)ⁿ = 301,000,000(1 + 0.009)⁴² 
= 301,000,000(1.009)⁴² 
= 301,000,000(1.457) 
= 438,557,000

Therefore, the U.S. population is predicted to be 438,557,000 in the year 2050.

Let’s consider the situation where we want to find out when the population will double. Let’s use this same example, but this time we want to find out when the doubling in population will occur assuming the same annual growth rate. We’ll set up the problem like the following:

Double P = P(1 + r)ⁿ 
P will be 301 million, Double P will be 602 million, r = 0.009, and we will be looking for n.
Double P = P(1 + r)ⁿ 
602,000,000 = 301,000,000(1 + 0.009)n

Now, we will divide both sides by 301,000,000. This will give us the following:

2 = (1.009)ⁿ

To solve for n, we need to invoke a special exponent property of logarithms. If we take the log of both sides of this equation, we can move exponent as shown below:

log 2 = log (1.009)ⁿ
log 2 = n log (1.009)

Now, divide both sides of the equation by log (1.009) to get:

n = log 2 / log (1.009)

Using the logarithm function of a calculator, this becomes:

n = log 2/log (1.009) = 77.4

Therefore, the U.S. population should double from 301 million to 602 million in 77.4 years assuming annual growth rate of 0.9 %.

Now it is your turn:

• Search the Internet and determine the most recent population of your home state. A good place to start is the U.S. Census Bureau (www.census.gov) which maintains all demographic information for the country. If possible, locate the annual growth rate for your state. If you can not locate this value, feel free to use the same value (0.9%) that we used in our example above.
  • Determine the population of your state 10 years from now.
  • Determine how long and in what year the population in your state may double assuming a steady annual growth rate.
• Look up the population of the city in which you live. If possible, find the annual percentage growth rate of your home city (use 0.9% if you can not locate this value).
  • Determine the population of your city in 10 years.
  • Determine how long until the population of your city doubles assuming a steady growth rate.
• Discuss factors that could possibly influence the growth rate of your city and state.
  • Do you live in a city or state that is experiencing growth?
  • Is it possible that you live in a city or state where the population is on the decline or hasn’t changed?
  • How would you solve this problem if the case involved a steady decline in the population (say -0.9% annually)? Show an example.
• Think of other real world applications (besides monitoring and modeling populations) where exponential equations can be utilized.

Assignment 1: Discussion—Peer-Group Dynamics and Mechanisms Understanding peer dynamics is a very important aspect of child relationships, especially when the child reaches the teenage years. These peer group dynamics become a powerful tool for shaping behavior in positive and negative ways. Using the module readings, the Argosy University online library resources, and the Internet, research peer group socialization mechanisms and peer group dynamics. Then, do the following: Select one age group to which you want to apply your analysis of peer group socialization mechanisms and dynamics. Select one of the following: One peer-group mechanism (such as reinforcement, modeling, punishment, or apprenticeship) One peer-group dynamic (such as inclusion/exclusion, clique inclusionary/exclusionary techniques, bullies and victims, gangs, peer collaboration, tutoring, or counseling) Based on your choices and research, respond to the following: Explain how your chosen mechanism or dynamic for one child shapes the behavior of another. For example, how does the reinforcement of one child’s behavior impact the behavior of another child? How could some of the following developmental tasks of your chosen age group be influenced positively or negatively by your selected mechanism or dynamic? Belonging needs Social interaction Self-image Getting along with others Moral and value development Personal independence Write your initial response in a minimum of 300–400 words. Apply APA standards to citation of sources, including use of in-text citations and full references. Incorporate information from at least two academic sources to support your statements or ideas. Academic sources could include your textbook, required readings for this week, or academic journal articles found in the Argosy University online library. Consider commenting on the following: Do you agree with your peers’ explanations of how the chosen mechanism or dynamic for one child shapes the behavior of another and influences the listed developmental tasks? Why or why not? Suggest an alternative explanation if the dynamic or mechanism selected by your peers is different from your choice. Give reasons for your explanations. Select a dynamic or mechanism different from your earlier choice and explain its impact. By Saturday, October 25, 2014, post your response to the appropriateDiscussion Area. Through Wednesday, October 29, 2014, review and comment on at least two peers’ responses. Grading Criteria and Rubric

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(an instructor response) Welcome to week 3 Faculty Phillips  10/6/2014 10:34:51 PM

There are four schools of thought on labor relations, as follows:

• Mainstream economics school
• Human resource management school
• Industrial relations school
• Critical industrial relations school

Use the Internet and library resources to research information on these four schools of thought, and summarize each school by identifying the following:

• Its view on unions (good or bad) and why
• Its solution to labor relations
• Your personal views of each thought (e.g., Do you agree with this thought? Why or why not?)
• 1500 words min.