the population of a place is increased to 5400 in 2020 at a rate of 5% per annum find the population in 2018
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Given:
We use formula of amount of compound interest to find population
A( 2020)= 54,000,
R = 5%,
n = 2 years
In 2018 Population would be less than 2020 in two years.
A(2020)= P(2018)(1+R/100)^n
54000 = P (2018)(1+5/100)²
54000 = P(2018)(1+1/20)²
54000= P(2018)(21/20)²
54000 = P(2018)((21×21)/(20×20))
P(2018)=( 54000×20×20)/21×21
Population in 2018 = 48979.59= 48980(approx)
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