Identify the transformation that maps the figure onto itself. a) reflect across the line y = -3 b) reflect across the line x = 3 c) rotate 180° about the point (3, -3) d) rotate 180° about the point (5, -5)i believe it's b because transformation is moving it in a straight line, rotating is moving in a circle, therefore, it can't be c or d.

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

If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.

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.)