You drop a ball and it bounces 4 feet into the air. on each subsequent bounce the ball bounces half as high it did on the previous bounce. how high does it bounce on the sixth bounce? (enter your answer as a fraction and don't forget your units)

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?