An employee worked $40$ hours at $$12$ per hour and $5$ overtime hours at $1\mathrm{.}5$ times regular pay. Federal income taxes were deducted from the employee's pay at a rate of $20$ percent. Social Security and Medicare taxes were deducted at a combined rate of $7\mathrm{.}65$ percent. What was the employee's net pay?

$$412\mathrm{.}40$

$$480\mathrm{.}00$

$$570\mathrm{.}25$

$$600\mathrm{.}50$