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Suppose you invest $100 at a compound interest rate of 10%. The rule of 72 tells you that your money will double every seven years, approximately: If you graph these points, you start to see the familiar compound interest curve:
The result is the number of years it will take, roughly, to double your money. For example, if the expected annual return of about 2.35% (the current rate on Ally Bank's 5-year high-yield CD) and you have $1,000 to invest, it will take 72/2.35 = 30.64 years for you to accumulate $2,000.