Calculating Population Growth: 1 & 5 Yrs Ago

AI Thread Summary
The discussion centers on calculating the population of a country given a 2.7% annual growth rate and a current population of 15.2 million. To find the population one year ago, the formula used is based on compound growth: u1 = present population / (1 + growth rate). For five years ago, the same formula applies, adjusted for the number of years. Participants clarify the correct use of the formula and the n-values for accurate calculations. The conversation emphasizes the importance of correctly applying the compound growth formula to determine past populations.
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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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Well, then re-develop that formula using your head (and our hints).
You start out!:smile:
 
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
 
then multiply that answer by (1.027)^(5-1)
 
Not sure what you are doing here. "1 year ago from n=1" is n-value n=0.
Plug that into your equation.
 
thanks I have already worked this out, sorry
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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