Lakeya is making a box with no top out of a rectangular piece of cardboard. The cardboard is 6 feet by 8 feet. She cuts a square of length x out of each corner of the piece of cardboard. The volume of the box is 24 ft3. Find the length of the square that is cut out of the cardboard. Which piece of information is irrelevant? A) The box has no top. B) The piece of cardboard is a rectangle. C) The piece of cardboard is 6 feet by 8 feet. D) The piece of cut from the cardboard is a square. E) The volume of the box is 24 ft3.

How are interest rates calculated by financial institutions? financial institutions generally calculate interest as (1) interest or (.

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

Nell and kirby are in the process of negotiating their divorce agreement. what should be the tax consequences to nell and kirby if the following, considered individually, became part of the agreement? a. in consideration for her one-half interest in their personal residence, kirby will transfer to nell stock with a value of $200,000 and $50,000 of cash. kirby's cost of the stock was $150,000, and the value of the personal residence is $500,000. they purchased the residence three years ago for $300,000.nell's basis for the stock is $ xkirby's basis in the house is $ xb. nell will receive $1,000 per month for 120 months. if she dies before receiving all 120 payments, the remaining payments will be made to her estate.the payments (qualify, do not qualify) as alimony and are (included in, excluded from) nell's gross income as they are received.c. nell is to have custody of their 12-year-old son, bobby. she is to receive $1,200 per month until bobby (1) dies or (2) attains age 21 (whichever occurs first). after either of these events occurs, nell will receive only $300 per month for the remainder of her life.$ x per month is alimony that is (included in, excluded from) nell's gross income, and the remaining $ x per month is considered (child support, property settlement) and is (nontaxable, taxable) to nell.