A suppliers sold a machine levying 13% vat on rupees 320000 to a retailer. the retailer spent rupees 10000 for transportation and rupees 5000 for the local tax if the retailer sold it at a profit of rupees 15000 to a customer how much did the customer pay for the machine with 13% vat?

41/17 as a decimal rounded to the nearest hundredth

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0

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.)