$($For calculation purposes, use $5$ decimal places as displayed in the factor table provided.$)$

$($a$)$ What is the present value of $$32,000$ due $11$ periods from now, discounted at $8\%?($Round answer to $2$ decimal places, e$.$g$.25\mathrm{.}25.)$

Present value $

$($b$)$ What is the present value of $$32,000$ to be received at the end of each of $7$ periods, discounted at $12\%?($Round answer to $2$ decimal places, e$.$g$.25\mathrm{.}25.)$

Present value $