Jay purchased a $180-$day $$500,000$ bank bill $($at a simple interest rate$)$ on $16$ July $2023.$ The purchase price was $$490,550.$ He sold this bank

bill on $12$ August $2023.$

$($a$)$ What was his selling price, if he sold this bank bill at a yield of $3\mathrm{.}43\%$ p$.$a$.($simple interest$)?$ Round your answer to three decimal

places.

a$.492958\mathrm{.}660$

b$.492912\mathrm{.}992$

c$.492867\mathrm{.}332$

d$.491683\mathrm{.}146$