Author: chris

FOR A-PLUS WRITER

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Your final paper should run about 8 pages.

Structure

This is a traditional research paper. You should begin with a question or series of questions, your account of research and the state of debate on your question and a conclusion based on your research.

Topics

The topic must be related to the theme of the course – the development and current state of the economies of Asia. Below is a list of possible topics, though you may choose another topic as long as it is relevant to the course.

To what extent have the major economies of Asia relied on state-led development?
What has been the role of export-led growth in Asia (or in a particular country)?
How important has the use of capital and exchange controls been in countries that have used them (India, China, Malaysia)?
Are the growth rates of India and/or another country or group of countries sustainable?
What is the role of trade with China and Japan in the development of other economies in Asia?
What kind of development path has a particular country pursued?
To what extent has the development of the smaller economies of Asia (or a particular country) been driven by FDI from other countries?
To what extent has the development of Asian economies (or a particular country) been driven by low wages?
What do social indicators tell us about the state of human development in Asia (or in a particular country)?
What is Abenommics and is it likely to pull Japan out of its stagnation?
How has fiscal policy in China helped avert stagnation since the 2008 world economic downturn?
How has the world economic downturn affected other economies in Asia?
How has industrialization and growth of a country impacted the environment?
How has economic reform impacted poverty rates or other measures of social well-being?
To what extent are the economies of Asia dependent on exports to the US and EU and how is this likely to change, given the weakness of these economies?

You may also choose a historical topic, like whether conditions improved for working people under Maoism in China, whether India’s five year plans were successful in alleviating poverty.

These are just ideas. You may choose any other related topic.

Grading

Grades will be based on:

The specificity of your question and overall topic.
Good use of sources and quotations to support points and show the current state of discussion/debate on your topic.
Quality of writing.
Structure of argument in answering your question and deriving a conclusion.
Good use of data to support conclusions.

Sources

The best sources of information can be found in Academic Search Complete on the library’s website. The Far East Economic Review and Pacific Review are particularly good sources and are not too technical. You may also use non-academic sources like the Asian Wall Street Journal, Financial Times or Economist Magazine. Apec.org and ASEAN.org are good sources of information, as are the Asian Development Bank, World Bank, IMF and government sources in any of the countries you are researching.

You should use at least four sources outside of the assigned readings. You should also include at least one table or chart using data to support points.

FOR A-PLUS WRITER

[Pin It]

Your final paper should run about 8 pages.

Structure

This is a traditional research paper. You should begin with a question or series of questions, your account of research and the state of debate on your question and a conclusion based on your research.

Topics

The topic must be related to the theme of the course – the development and current state of the economies of Asia. Below is a list of possible topics, though you may choose another topic as long as it is relevant to the course.

To what extent have the major economies of Asia relied on state-led development?
What has been the role of export-led growth in Asia (or in a particular country)?
How important has the use of capital and exchange controls been in countries that have used them (India, China, Malaysia)?
Are the growth rates of India and/or another country or group of countries sustainable?
What is the role of trade with China and Japan in the development of other economies in Asia?
What kind of development path has a particular country pursued?
To what extent has the development of the smaller economies of Asia (or a particular country) been driven by FDI from other countries?
To what extent has the development of Asian economies (or a particular country) been driven by low wages?
What do social indicators tell us about the state of human development in Asia (or in a particular country)?
What is Abenommics and is it likely to pull Japan out of its stagnation?
How has fiscal policy in China helped avert stagnation since the 2008 world economic downturn?
How has the world economic downturn affected other economies in Asia?
How has industrialization and growth of a country impacted the environment?
How has economic reform impacted poverty rates or other measures of social well-being?
To what extent are the economies of Asia dependent on exports to the US and EU and how is this likely to change, given the weakness of these economies?

You may also choose a historical topic, like whether conditions improved for working people under Maoism in China, whether India’s five year plans were successful in alleviating poverty.

These are just ideas. You may choose any other related topic.

Grading

Grades will be based on:

The specificity of your question and overall topic.
Good use of sources and quotations to support points and show the current state of discussion/debate on your topic.
Quality of writing.
Structure of argument in answering your question and deriving a conclusion.
Good use of data to support conclusions.

Sources

The best sources of information can be found in Academic Search Complete on the library’s website. The Far East Economic Review and Pacific Review are particularly good sources and are not too technical. You may also use non-academic sources like the Asian Wall Street Journal, Financial Times or Economist Magazine. Apec.org and ASEAN.org are good sources of information, as are the Asian Development Bank, World Bank, IMF and government sources in any of the countries you are researching.

You should use at least four sources outside of the assigned readings. You should also include at least one table or chart using data to support points.

sprandrprt

[Pin It]

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

sprandrprt

[Pin It]

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

sprandrprt

[Pin It]

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

Attachments:
application/vnd.ms-excel iconnecessary_spreadsheet.xls

Accounting homework help

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

sprandrprt

[Pin It]

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what

sprandrprt

[Pin It]

you were introduced to the concept of exponential functions that can be used to model growth and decay. Recall what you learned in The Number electure. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. (If you use the linked spreadsheet below, it is recommended that you consider relatively small populations and not those of entire nations.)

see attachment

In the spreadsheet, perform the following operations:

Input a population value into the box next to Initial Population on the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.
Input a rate of growth for your population into the box next to Rate 1. Since we are interested in a positive annual percent growth rate per year, this number should be greater than zero percent. Be sure to input this number in the form of a decimal.
Repeat the above procedure for Rate 2 and Rate 3. Make sure that the values you select differ by two percent. For example, the values 0.01, 0.03, and 0.05 would be good choices.
Under the Time (years) column, input three different year values. Make sure that your values increase by a minimum of ten years. For example, 10, 20, 30 years would be good choices. If you want to see a more dramatic change, select a longer time frame such as 10, 50, and 100 years.
When you input all of your data, you’ll see that the spreadsheet has performed the calculations for the future size of each population, rate of growth, and time interval. Additionally, this information will be presented graphically in the chart. To draw an exponential curve for each series, do the following:
Right click on the middle point for one of the series.
Click on add trendline.
Under Trendline Options, select Exponential.
Click Close
Repeat these steps for the other series.

Now that you’ve completed your analysis, it is now time to report the results and examine your findings.

In a Microsoft Word document, respond to the following:

Calculate what the future size of the population will be, given a specific initial population, rate of growth, and time interval.

Use the exponential equation: Future value = Present value * exp(rt)

exp is the base “e”
r = annual rate of growth expressed as a percent
t = years

Note: The spreadsheet performed these calculations for you, so you can check the answer you obtain with those in the spreadsheet. In order to perform this calculation, you’ll need to have access to a scientific calculator that will have an ex button in order to perform the exp(rt) calculation. There are a number of free scientific calculators available over the Internet. Additionally, all smartphones have calculator apps that have a scientific mode. Check with your instructor for a list of currently available free options if you do not own a scientific calculator.

Repeat the calculation for at least two other values of t; make sure they are at least two years apart from one another. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Repeat the calculations using two more selections of population growth rate; ensure that each population growth rate is at least two percent different than the others. Use the same values you input into the spreadsheet and compare the answers you obtain to those that appear in the spreadsheet.

Examine the graph that your spreadsheet produced based upon the calculations. Did this graph consist of straight lines or curved lines? Describe the shape of these lines for each growth rate. How did they differ? Why?

Explain the implications of growth rate for your population. What do you think will happen over a long period of time if a given population of organisms is allowed to increase without limits? Are there environmental factors that keep populations from growing exponentially unchecked? What would be the impact on environmental resources?

Explain the likelihood of your results. Would it be expected that the percent growth rate would stay constant over long periods? Is exponential growth an appropriate assumption for long periods? If not, what other changes in population size might be expected?

Attachments:
application/vnd.ms-excel iconnecessary_spreadsheet.xls