The newly opened mario's trattoria is expected to produce a continuous income stream at the rate of r(t) = 120,000 dollars/year for the next 5 years. if the prevailing interest rate is 3.4%/year compounded continuously, find the future value of this income stream. (round your answer to two decimal places.)

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?