There are 20 alligators in the swamp. each year, the number of alligators increases by 25%. there are 25 crocodiles in the swamp. each year, 10 new crocodiles join the swamp.
part b: how many alligators are in the swamp after 4 years? how many crocodiles are in the swamp after the same number of years?
part c: after approximately how many years is the number of alligators and crocodiles the same? justify your answer mathematically.

Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.

Write each of the following numerals in base 10. for base twelve, t and e represent the face values ten and eleven, respectively. 114 base 5 89t base 12

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?