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Question

Country : Cuba
Population is : 11, 394,043
Growth Rate: 0.273%

Use the growth rate to approximate the population in the year 2008. Show how each of the approximations were made by including your calculations.

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.
" 2007 is 1,110,723,523
" 2008 is 1,126,273,652

The year is 2007 for the population of 11,394,043

Answer 1

We would obviously need to know the year when the population was 11,394,043 in Cuba... was it 2005? 2007? 1993?

The rate of growth each year is the original 100% plus an additional 0.273%. This is 100.273% or as a decimal:
1.00273

So multiply the population each year by this rate:

Since you haven't specified the actual starting year, I'll call it year 0:
Year 0: 11,394,043
Year 1: (11,394,043 * 1.00273) = 11,425,149
Year 2: (11,425,149 * 1.00273) = 11,456,340
Year 3: (11,456,340 * 1.00273) = 11,487,616
etc.

If this was for 2005, then 3 years later (in 2008) the population would be: 11,487,616.

In general, in year n the population will be:
Pop(n) = Pop(0) * 1.00273^n

Answer 2

multiply the population by 1.00273

percentage wise, original population is 100%. Growth rate is 0.273%. Add the two together to get the growth of Cuba for 2008.

11394043*1.00273=11425148