Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by . If the coin turns up tails, she multiplies the number she's thinking of by . Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either or , depending on the coin flip. The ten coin flips turn out to be:where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.