Surprisingly, it doesn't matter how much you invest at the start- the time to double your money will be the same no matter how much the principle investment is. This is because the ratio of amount after time to principle investment is two. You can always use the relationship 2=e^(rt) if you have continuously compounded interest. To solve for time, you will need to either apply to natural log to both sides of the equation or re-write it in exponential form.
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