Homework Help: Algerba

Posted by Vision/Help on Saturday, October 27, 2007 at 10:39am.

Pick a country of your choice that is experiencing population growth. find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2008. Show how each of your approximations were made by including your calculations. Be sure to reference all sources using APA style.

Example: The population of India in 2005 was 1,080,264,388. The growth rate is 1.4%.
In 2006, the approximate population is 1,095,388,089.
In 2007, approximate population is 1,110,723,523.
In 2008, approximate population is 1,126,273,652

My country is Australia
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Australia is the most sparsely populated of the inhabited continents.
The estimated total population in 2007 was 20,434,176, Australia’s population grew at a relatively modest rate of about 1.3 percent annually from 1996 to 2001.

Algerba - Ms. Sue, Saturday, October 27, 2007 at 10:49am
This site has the Australia population figures for the last several years.

http://en.wikipedia.org/wiki/Demographics_of_Australia

To find the population growth rate subtract the population of 2006 from 2007. Divide that answer by the 2006 population.
- honors Algerba - kelly, Wednesday, May 28, 2008 at 10:27pm
  what is hypotenuse triangle
Algerba - drwls, Saturday, October 27, 2007 at 11:47am
Using Australia data in the reference provided by MsSue,
20,743,300 (26 January 2007)
20,605,500 (26 January 2006)
20,171,300 (26 January 2005)
20,100,000 (26 January 2004)
19,438,000 (26 January 2003)
19,662,800 (26 January 2002)
19,436,000 (26 January 2001)
19,157,000 (26 January 2000)
The growth rate r from 2006 to 2007 was 0.67% per year. A longer-term average growth rate (r) from 2000 to 2007 (a six-year period)would be
20,743,300/19,157,000 = (1+r)^6
1.0828 = (1+r)^6
log 1.0828 = 6 log (1+r)
log(1+r) = 0.00576
1+r = 1.01335
r = 1.335%

These numbers agree well with yours. There does seem to have been a dropoff in the growth rate to 0.67% during the past year. You might want to use that rate for making your extrapolation (prediction) to 2008.

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