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This "Rule of 70" gives accurate doubling times to within 10% for growth rates less than 25% and within 20% for rates less than 60%. Larger growth rates result in the rule underestimating the doubling time by a larger margin. Some doubling times calculated with this formula are shown in this table. Simple doubling time formula:
In 1831, president of Yale college Jeremiah Day included a United States population estimate as an example of an exponential equation.After stating that the 1820 population of the United States was 9,625,000, the projected 2020 population would be 2,464,000,000 (supposing it to double once every 25 years).