James and Mary Garfield invested $$5,000$ in a savings account paying $4\%$ annual interest when their daughter, Patricia, was born. They also deposited $$1,000$ on each of her birthdays until she was $14($including her $14$ th birthday$).$

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How much was in the savings account on her $14$th birthday $($after the last deposit$)?($For calculation purposes, use $5$ decimal places as displayed in the factor table provided. Round answer to $2$ decimal places, e$.$g$.25\mathrm{.}25.)$

Amount on $14$ th birthday