Isabel is using the tvm solver on her graphing calculator as shown below to
determine how much she has to invest now in a savings account earning
compound interest to have $14,200 in a certain number of years.
pmt=0
fv=14200
p/y=1
c/y=12
pmteenl begin
according to what isabel has entered into the tvm solver, with what
frequency will the interest in the savings account be compounded?

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.)