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1) For a quick approximation, use the rule of 72: divide 72 by the interest rate to find the number of periods it will take. In this case, 72/2 is 36 years.

2) For an exact answer, you can solve this problem: (1+r)^t = N, where r is the growth rate, t is the number of time periods, and N is the ratio of the original you want. For this problem, you'd have (1.02)^t = 2, and solving for t, we get t = (ln 2)/(ln 1.02) [or you can use log in place of ln]. Solving, this is 35.003 years.

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14y ago

Assuming compount interest, for small percentages, you can use the 70-percent-rule - divide 70 by the the percentage, in this case, 70 / 4. For larger percentages this thumb-rule will be less exact. For more accurate calculations, you can use logarithms - log(2) / log(1.04) (note: 1.04 is 1 plus 4%). Logarithms are available on any scientific calculator, including the standard calculator available on Windows.

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Q: If a nation's real GDP is growing at 2 per year its real output will double in approximately?
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