A PVC (polyvinylchloride) recycling plant uses recent technology to separate PVC from scrap by dissolving the PVC. By 2004, the plant had
recycled a total of 20,000 metric tons of PVC. The plant recycles about
8,500 metric tons per year. Let t be the number of years since 2004. Use
function notation to write an equation giving the total amount of PVC
recycled by the plant as a function of t. (please answer quick!)

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?