Question

Country A has a growth rate of 2.1% per year. The population is currently 5,747,000 and the land area of Country A is 36,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land.This will happen in what years?

Answer 1

5,747 * 1.021^n = 36,000,000

1.021^n = 36,000,000/5,747 =

n = log (36,000,000 / 5,747)/log 1.021

= 421
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check
1.021^421 = 6307
6307*5,747,000 = 3.6*10^10
= 3.6*10,000,000,000 =36,000,000,000
sure enough