If Cullumber Mooney invests $$5,039\mathrm{.}21$ now and she will receive $$11,000$ at the end of $16$ years, what annual rate of interest will Cullumber earn on her investment? $($Hint: Use Table $3.)($Round answer to $0$ decimal places, e$.$g$.25\%.)$

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$($For calculation purposes, use $5$ decimal places as displayed in the factor table provided.$)$

Annual rate of interest $\%$