mabel is comparing the prices of two car rental companies. company a charges $35 per day and an additional $15 as service charges. company b charges $42 per day and an additional $10 as service charges.

part a: write an equation to represent each company's total charges for renting a car for a certain number of days. for both equations (one for company a and one for company b), define the variable used. (4 points)

part b: which company would charge less for renting a car for 6 days? justify your answer. (3 points)

part c: how much money is saved by using the services of company a instead of company b to rent a car for 10 days? (3 points)

Carl wants to buy a television that cost $500 including taxes. to pay for television he will use a payment plan that requires him to make a down payment of $125 and then pay $70.50 each month for six months what is the percent increase from the original cast of the television to the cost of the television using a payment plan.

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie

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.)