Don't use plagiarized sources. Get Your Assignment on

Due in 20 hours home state is california – original work

Just from $13/Page

Assignment 1: Discussion—Population Growth

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.

Why Choose Us

Quality Papers

At Myhomeworkwriters.com, we always aim at 100% customer satisfaction. As such, we never compromise o the quality of our homework services. Our homework helpers ensure that they craft each paper carefully to match the requirements of the instruction form.

Professional Academic Writers

With Myhomeworkwriters.com, every student is guaranteed high-quality, professionally written papers. We ensure that we hire individuals with high academic qualifications who can maintain our quality policy. These writers undergo further training to sharpen their writing skills, making them more competent in writing academic papers.

Affordable Prices

Our company maintains a fair pricing system for all academic writing services to ensure affordability. Our pricing system generates quotations based on the properties of individual papers.

On-Time delivery

My Homework Writers guarantees all students of swift delivery of papers. We understand that time is an essential factor in the academic world. Therefore, we ensure that we deliver the paper on or before the agreed date to give students ample time for reviewing.

100% Originality

Myhomeworkwriters.com maintains a zero-plagiarism policy in all papers. As such, My Homework Writers professional academic writers ensure that they use the students’ instructions to deliver plagiarism-free papers. We are very keen on avoiding any chance of similarities with previous papers.

Customer Support 24/7

Our customer support works around the clock to provide students with assistance or guidance at any time of the day. Students can always communicate with us through our live chat system or our email and receive instant responses. Feel free to contact us via the Chat window or support email: support@myhomeworkwriters.com.

Try it now!

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Homework Writing Services

My Homework Writers holds a reputation for being a platform that provides high-quality homework writing services. All you need to do is provide us with all the necessary requirements of the paper and wait for quality results.

Essays

At My Homework Writers, we have highly qualified academic gurus who will offer great assistance towards completing your essays. Our homework writing service providers are well-versed with all the aspects of developing high-quality and relevant essays.

Admissions

Admission and Business Papers

With Myhomeworkwriters.com, we will help you secure a position at your desired institution. Our essay writing services include the crafting of admissions papers. We will still help you climb your career ladder by helping you write the official papers that will help you secure a job. We will guide you on how to write an outstanding portfolio or resume.

Editing

Editing and Proofreading

Myhomeworkwriters.com has a professional editorial team that will help you organize your paper, paraphrase it, and eliminate any possible mistakes. Also, we will help you check on plagiarism to ensure that your final paper posses quality and originality.

Coursework

Technical papers

My Homework Writers harbors professional academic writers from diverse academic disciplines. As such, we can develop homework writing services in all academic areas. The simplicity or complexity of the paper does not affect the quality of homework writing services.