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If t is the period in years, then

the value of the investment after t years satisfies the equation

Y = 1000+500 = 500*(1+10/100)t So that t = ln(3)/ln(1.1) = 11.5 years.

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Q: How much time will a 500 investment need to earn 1000 in interest at a rate of 10 percent per year?
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