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Answer: 7.2%

To compute this, realize that an interest rate of r% corresponds to a factor of 1 + r/100, each year.

Hence, if I start with x, in ten years, the total will be x*(1+r/100)^10.

If you like this to be 2x, you have to solve:

(1+r/100)^10 = 2.

hence, taking the 10th root:

1+r/100 = 2^(1/10) = 1.0718... and so,

r = 7.2%

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