In a gambling game, a woman is paid $7 if she draws a ten, a three, or a seven and $9 if she draws a queen, a five, or a king from an ordinary deck of 52 playing cards. If she draws any other card, she loses. How much should she pay to play if the game is fair? If the game is fair, the woman should play $ to play. (Type an integer or a decimal. Round to the nearest cent as needed.)

if you work for a non-profit and you want to (and its legal) to run your own lottery. Suppose  you need to collect at least $25,000.  Design a lottery to allow you to achieve your goal.  HOw many tickets would you sell?  How many prices ( and for how much ) would you have? How much would you charge per ticket?

An auction was held today at which 4 rare stamps were sold. Prices ranged from $40 to $55, at $5 increments. Determine the price and order of each auction lot, as well as the name of each winning bidder. One bidder's name was Aidan. 1. The stamp that was auctioned fourth was either the one won by Bo or the one that sold for $45. 2. The stamp won by Candi was either the one that was auctioned first or the one that sold for $50. 3. The stamp won by Devin sold for somewhat less than the stamp that was auctioned first. 4. The stamp that was auctioned first sold for 10 dollars less than the stamp that was auctioned second.

During his short stint as Shadow Finance Minister, Barnaby Joyce displayed a curious grasp of numbers. One of his most infamous exclamations was “All this billions, quillions, Brazilians.” Less well known was his tax-reform proposal, recommending that if you earn $x per day, you are taxed x% of that amount (with the understanding that you pay 100% tax if you earn $100 or more per day. Under Senator Barnaby’s plan, which amount x gives you the highest earnings after tax has been taken out?

A punch-out card contains 100 spaces. One space pays $300, five spaces pay $20, and the others pay nothing. How much should you pay to punch out one space? (Assume that you wish to pay the fair price.

A buyer paid ​$41,400​,including the​ buyer's premium, for a car auction. If the auction adds a 15​% ​buyer's premium to the sale price of the​ car, then what was the sale price of the​ car?   The sale price of the car was ​$.....​(Type an integer or a​ decimal.)