Calculating Population Growth: 1 & 5 Yrs Ago

In summary, the conversation discusses the population increase of a certain country over the past 5 years, with a steady rate of 2.7% per annum. The present population is 15.2 million. The formula for compound interest is mentioned, and using that, the population 1 year ago can be calculated by rearranging the formula to u1 = 15.2 * 10^6 * (1.027)^5. The conversation then moves on to discussing the formula and how to use it to calculate the population 5 years ago. The person in the conversation is reminded to plug in the correct n-value for the desired time period.
  • #1
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I am not too sure what to do to answer this question.
Each year for the past 5 years the population of a certain country has increased by a steady rate of 2.7% per annum. The present population is 15.2 million.
a) what was thepopulation 1 yr ago?
b) what was the population 5 years ago?

I forgot what formula to use. Any help and reminders welcome. Thanks
 
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  • #2
Well, then re-develop that formula using your head (and our hints).
You start out!:smile:
 
  • #3
I know the normal formula for compound interest is
un = u1 * r^(n-1)
so rearranging that would give u1 = ___(1.027)^5_____
15.2 * 10^6
 
  • #4
then multiply that answer by (1.027)^(5-1)
 
  • #5
Not sure what you are doing here. "1 year ago from n=1" is n-value n=0.
Plug that into your equation.
 
  • #6
thanks I have already worked this out, sorry
 

1. What is population growth?

Population growth refers to the increase in the number of individuals in a population over time, usually measured in a specific area or region.

2. How is population growth calculated?

Population growth can be calculated by subtracting the initial population size from the final population size and then dividing that number by the initial population size. This value is then multiplied by 100 to get the growth rate as a percentage.

3. What is the significance of calculating population growth?

Calculating population growth allows us to understand how a population is changing over time, which can inform decision making for resource allocation, urban planning, and environmental conservation efforts.

4. What are the factors that influence population growth?

Population growth is influenced by a variety of factors, including birth rates, death rates, immigration, and emigration. Environmental factors such as access to resources, disease, and natural disasters can also impact population growth.

5. How do we interpret population growth rates?

A positive population growth rate indicates that a population is increasing, while a negative growth rate indicates a decrease in population size. The magnitude of the growth rate can also provide insights into the speed of population growth or decline.

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