The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $6 each and will sell 700 tickets. There is one $3,000 grand prize, four $400 second prizes, and...

The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $6 each and will sell 700 tickets. There is one $3,000 grand prize, four $400 second prizes, and twelve $40 third prizes. You just bought a ticket. Find the expected value for your profit.
?
Round to the nearest cent.