A school council is planning a battle of the bands. They expect that 700 tickets will be sold if the ticket price is $5. A survey shows that if the ticket price is raised by $0.50, 50 fewer tickets will be sold. The situation can be modelled by y = -25p^2 + 100p + 3500, where y represents the revenue from ticket sales in dollars and p represents the number of times the ticket price is increased by $0.50.What is the maximum revenue the student council can make?

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Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

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