Dorothy Taylor is $20$ years old and plans to make the following investments beginning next year. She will invest $$3,200$ in each of the next three years and will then make investments of $$3,650,$ $$3,725,$ $$3,875,$ and $$4,000$ over the following four years. If the investments are expected to earn $10\mathrm{.}9$ percent annually, how much will Dorothy have when she turns $30?($Round answer to $2$ decimal places, e$.$g$.,15\mathrm{.}25.$ Do not round factor values.$)$