Aballoon is at a height of 50 meters, and it is rising at the constant rate of 5 m/sec. a bicyclist passes beneath it, traveling in a straight line at the constant speed of 10 m/sec. how fast is the distance between the bicyclist and the balloon increasing 6 seconds later.

Pamela has a 30-year, 5.75% mortgage on her $250,000 home. she has been paying on it for 5 years, and has recently hit some financial trouble. if her lender agreed to lower the interest rate on her $231,905.47 balance to 5.5%, what will her new payment be for the remainder of the loan?