Say that you plan to retire in $13$ years. You plan to make $13$ annual contributions of $$4\mathrm{.}5$k to an investment account that will earn $8\mathrm{.}0\%$ interest annually. You also plan to make a special contribution of $$4$k in $6$ years. If your first payment occurs next year, then what is the account balance when you retire? $($Round to the nearest dollar$)$