Question: A student taking this course realizes she can double her money for nothing. In order to do this, she saves $X into an account at

A student taking this course realizes she can double her money for nothing. In order to do this, she saves $X into an account at the end of every month for 10 years. At the end of 10 years, the student withdraws $2X at the end of every month for 10 years, at which point the account has no money left. Find the smallest interest rate for which this is possible

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