An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation

2000007 350 represents the situation, where t is the number of years the money has been invested. About how long has the

money been invested? Use a calculator and round your answer to the nearest whole number

5 years

7 years

19 years

22 years

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?