Rai's base pay rate is $$9\mathrm{.}00$ per hour, with overtime pay of time$-$and$-$a$-$half, and double$-$time for holidays. Calculate her gross pay if she worked $6$ holiday hours in addition to $39\mathrm{.}5$ hours Monday through Saturday. $($Round your answer to the nearest cent$)$

Group of answer choices

$$463\mathrm{.}50$

$$408\mathrm{.}00$

$$364\mathrm{.}00$

$$340\mathrm{.}50$