Kate is in the $27\%$ bracket and has $$22,000$ available for investment during her current tax year. Assume that she remains in the same tax bracket over the next $10$ years, and determine the accumulated amount $($in dollars$)$ of her investment after taxes if she puts the $$22,000$ into the following. $($Round your answers to two decimal places.$)$

$($a$)$Tax$-$deferred annuity that pays $7\%/$year$,$ tax deferred for $10$ years.

$($b$)$Taxable instrument that pays $7\%/$year for $10$ years. $($Hint: In this case, the yield is $5\mathrm{.}11\%/$year$.)$