If 6000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded continuously. How many years will it take for your

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How come you didn't finish your question? Do you want to know how long will it take for $6,000 to double at 9% compounded continuously? If that is what you wanted, then it will take 7.70 years, or about 7 years and 8 1/2 months.