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Michael and Barbara Jones invested $$5,300$ in a savings account paying $5\%$ annual interest when their daughter, Angela, was born. They also deposited $$1,600$ on each of her birthdays until she was $14($including her $14$ th birthday$).$

Click here to view the factor table $1.$

Table $2$

Table $3$

Table $4$

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, e$.$g$.5\mathrm{.}24571.$ Round answer to $2$ decimal places, e$.$g$.25\mathrm{.}25.)$

Amount on $14$th birthday

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