To calculate the contestant's balance of prize money, we need to determine how much he loses for the 6 wrong answers.
Each wrong answer results in a loss of $12.50. Therefore, for 6 wrong answers:
Loss = Number of wrong answers × Amount lost per wrong answer Loss = 6 × $12.50 = $75.00
Since the contestant has answered no questions right and only wrong answers, his balance of prize money will be negative due to the losses incurred:
Balance = 0 - Loss Balance = 0 - $75.00 = -$75.00
Thus, the contestant's balance of prize money is −$75.00.