Assignmentguruh.com boasts a team of highly skilled and experienced writers who specialize in various academic fields. The company carefully selects its writers through a rigorous screening process to ensure that they possess the necessary qualifications and expertise. Whether it’s an essay, research paper, or any other homework assignment, students can rely on Assignmentguruh.com to connect them with professionals who have an in-depth understanding of the subject matter. This ensures that the work delivered is of high quality and meets the academic standards set by educational institutions.
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)nlog 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.
Do you need a similar assignment done for you from scratch? We have qualified writers to help you. We assure you an A quality paper that is free from plagiarism. Order now for an Amazing Discount! Use Discount Code “GURUH” for a 15% Discount!NB: We do not resell papers. Upon ordering, we do an original paper exclusively for you.
Essay Writing Service Features
Our Experience
No matter how complex your assignment is, we can find the right professional for your specific task. Tutoracer is an essay writing company that hires only the smartest minds to help you with your projects. Our expertise allows us to provide students with high-quality academic writing, editing & proofreading services.
Free Features
Free revision policy
$10Free bibliography & reference
$8Free title page
$8Free formatting
$8How Our Essay Writing Service Works
First, you will need to complete an order form. It's not difficult but, in case there is anything you find not to be clear, you may always call us so that we can guide you through it. On the order form, you will need to include some basic information concerning your order: subject, topic, number of pages, etc. We also encourage our clients to upload any relevant information or sources that will help.
Complete the order form
Once we have all the information and instructions that we need, we select the most suitable writer for your assignment. While everything seems to be clear, the writer, who has complete knowledge of the subject, may need clarification from you. It is at that point that you would receive a call or email from us.
Writer’s assignment
As soon as the writer has finished, it will be delivered both to the website and to your email address so that you will not miss it. If your deadline is close at hand, we will place a call to you to make sure that you receive the paper on time.
Completing the order and download