Ana is retiring next year from the school that she has taught at for the last 25 years. Her pension pays a monthly salary of $1,562.32. She also receives a monthly income from an IRA that she has made regular monthly payments,
in the amount of $230.32, for the last 15 years. If Ana plans on using her pension and the funds from her IRA as her
primary source of income for the next 10 years, determine Ana's monthly income given that her IRA compounds
interest at 2.3% monthly. Round to the nearest cent.

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.)