On january 1, 1980 moses deposit $1850 into a savings account paying 5.6% interest compounded quarterly if he hasn’t made any additional deposits are with drawl since then and if the interest rate has stayed the same and what year did his balance hit 3700 according to the rule of 72

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Consider the following limit order book for a share of stock. the last trade in the stock occurred at a price of $50. limit buy orders limit sell orders price shares price shares $49.75 500 $49.80 100 49.70 900 49.85 100 49.65 700 49.90 300 49.60 400 49.95 100 48.65 600 a. if a market buy order for 100 shares comes in, at what price will it be filled? (round your answer to 2 decimal places.) b. at what price would the next market buy order be filled? (round your answer to 2 decimal places.) c. if you were a security dealer, would you want to increase or decrease your inventory of this stock? increase decrease

Richardson hired j.c. flood company, a plumbing contractor, to correct a stoppage in the sewer line of her house. the plumbing company's 'snake' device, used to clear the line leading to the main sewer, became caught in the underground line. to release it, the company excavated a portion of the sewer line in richardson's backyard. in the process, the company discovered numerous leaks in a rusty, defective water pipe that ran parallel with the sewer line. to meet public regulations, the water pipe, of a type no longer approved for such service, had to be replaced either then or later, when the yard would have to be excavated again. the plumbing company proceeded to repair the water pipe. though richardson inspected the company's work daily and did not express any objection to the extra work involved in replacing the water pipe, she refused to pay any part of the total bill after the company completed the entire operation. j.c. flood company then sued richardson for the costs of labor and material it had furnished. (c) for what, if anything, should richardson be liable? explain."