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MarmikUpadhyay
Jihyo
The population of a country increased by an average of 1% per year from 2016 to 2019 .If the population of the country was 21 million on December 31,2019,then the population of this country on January 1,2016 ,to the nearest thousand had been:
A)20400
B)20200
C)20000
D)18000
E)15000

Let population on January 1, 2016 = x =?, Population increases by 1% per annum, Population on December 31, 2019 = 21 million.

Population on January 1, 2017 = 1.01 * x
Population on January 1, 2018 = 1.01 * (1.01 * x) = \(1.01^2\) * x
Population on January 1, 2019 = \(1.01^3\) * x
Population on January 1, 2020 = Population on December 31, 2019 = \(1.01^4\) * x = 21,000,000

=> x = \(\frac{21,000,000}{1.01^4}\) = 20,180,000 \(\approx\) 20,200 thousand

So, correct answer is option B.
Any way to simplify the calculation
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work backward from 2019
shohan2722
MarmikUpadhyay
Jihyo
The population of a country increased by an average of 1% per year from 2016 to 2019 .If the population of the country was 21 million on December 31,2019,then the population of this country on January 1,2016 ,to the nearest thousand had been:
A)20400
B)20200
C)20000
D)18000
E)15000

Let population on January 1, 2016 = x =?, Population increases by 1% per annum, Population on December 31, 2019 = 21 million.

Population on January 1, 2017 = 1.01 * x
Population on January 1, 2018 = 1.01 * (1.01 * x) = \(1.01^2\) * x
Population on January 1, 2019 = \(1.01^3\) * x
Population on January 1, 2020 = Population on December 31, 2019 = \(1.01^4\) * x = 21,000,000

=> x = \(\frac{21,000,000}{1.01^4}\) = 20,180,000 \(\approx\) 20,200 thousand

So, correct answer is option B.
Any way to simplify the calculation
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