8192 grams of radioactive material decays every hour in a geometric fashion. After 3 hours of decay, 128 grams of radioactive material remains. Assuming the decay continues at the same rate, determine the exact amount of radioactive material that would remain by the 7th hour of decay.

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.