Dan and Mike work in the sales department for a sporting goods company. Each man only gets paid by commission (a percentage of what he sells). Dan gets a 15% commission
on every bike he sells. Mike gets a 10% commission on every tent he sells. If Dan sold 227
bikes at $70 each and Mike sold 251 tents at $90 each, who made more money last month
and how much more money did he make?

Enter the number of complex zeros for the polynomial function f(x) = x 4+ 5x² +6

What is the result of adding the system of equations? 2x+y=4 3x-y=6

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)