Sam owns a catering business. For any party with up to 200 guests, he charges $ 4000. For each additional guest over 200 he charges $ 15 per person. Give a formula for the cost in dollars C of having Sam cater your party as a function of p of number of guests over 200.

Rewrite the hyperbolic equation 4y^2 -9x^2 +54x-8y-113=0

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.

Bob the builder is making 480kg of cement mix. this is made by cement, sand and gravel in the ratio 1: 3: 4