How long will it take any investment to quadruple if it earns 5.6% interest, compounded continuously

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03-05-2017
Mathematics

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How long will it take any investment to quadruple if it earns 5.6% interest, compounded continuously

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wolf1728 wolf1728 · Answer 1 · 2017-05-07T06:48:30+02:00

wolf1728 wolf1728

07-05-2017

For this example we will calculate $100 becoming $400
Years = natural log (Total / Principal) / rate
Years = natural log (400 / 100) / .056
Years = natural log (4) / .056
Years = 1.3862943611 / .056
Years = 24.7552564482
(Roughly 24 (3 / 4) years)

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