Allie and Michelle like to gamble. In any round of the betting game they play, a bet by Allie or Michelle is equally likely to return triple the bet or return zero, independent of any other bet placed. Allie starts with 100 dollars and in each round she bets all of her money. Thus, after the first round, Allie will have

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?