Asprinkler is designed to rotate 360∘ clockwise, and then 360∘ counterclockwise to water a circular region with a radius of 12 feet. the sprinkler is located in the middle of the circular region. the sprinkler begins malfunctioning and is only able to rotate 330∘ in each direction. find the area of the sector to the nearest square foot.

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.

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