6. Victor expects his gross income to be $48,000 this year, but Social Security, Medicare, federal income tax, and state income tax will be deducted from his pay, Victor lives in
Illinois, which has a flat state income tax of 4.95%, and he expects that 22% of his gross
income will be withheld for federal income tax. He wants to calculate his projected take
home pay for the year. (5 points: Part 1 - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1
point, Part V. 1 point)
Part 1: How much of Victor's gross income will be taken out for Social Security?

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.)

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem

How is this equation completed? i cannot find any examples in the book.