The Superior Insurance Company of Maine recently advertised the following discounts for qualified drivers:

$7$ percent discount to drivers who have not had an accident in the past seven years

$15$ percent discount for those with two or more cars; $5$ percent for insuring both home and car

$10$ percent discount for those who drive less than $10,000$ miles a year

$25$ percent discount for drivers who are good students $($have a B average or above$)$

$10$ percent discount for drivers aged $50$ or older; $6$ percent for drivers aged $24$ to $49$

$3$ percent discount for drivers who has taken a defensive driving course

$15$ percent discount for noncommuters $($less than $30$ miles round$-$trip$)$

$9$ percent discount for cars with antitheft devices

Jana, $25$ years old, currently pays $$760$ annually for a PAP for her $2011$ Chevy Malibu. She uses her car to commute $40$ miles round$-$trip to work and for her biannual cross$-$country trips to visit relatives. Last year she received a speeding ticket but took a defensive driving course in order to remove the ticket from her record; she has never had an accident. When she purchased her car she had an alarm installed. Jana is sure that she qualifies

Her new premium if she transfers to the Superior Insurance Company would be $

$($Round to the nearest cent.$)$