To check for a blockage in a patient's veins, 2.25 ml of a radioactive liquid with a half-life of 2.2 hours is injected into the patient's blood stream. If the liquid is administered at 7:00 am, at what time will the amount of the liquid decrease to 0.41 ml?

Saline iv fluid bags cost $64.20 for 24, 1000 ml bags from one supplier. a new supplier sells 500 ml bags for $2 each. the hospital uses about 10,000, 1000 ml bags each month. nurses report that about half of the bags are more than half full when they are discarded. if you are going to use only one supplier, which size bag provides the best deal, and how much will you save each month? compare the cost of the new supplier to the current one.