Assume that you can invest money in a savings account with an APR of 8.0% and semi-annual compounding.
What is the present value of an annuity that will pay $500 every six months for the next ten years and that makes its first payment today?

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

In each of the following cases, find the unknown variable. ignore taxes. (do not round intermediate calculations and round your answers to the nearest whole number, e. g., 32.) accounting unit price unit variable cost fixed costs depreciation break-even 20,500 $ 44 $ 24 $ 275,000 $ 133,500 44 4,400,000 940,000 8,000 75 320,000 80,000

4.     chef a says that broth should be brought to a boil. chef b says that broth should be kept at an even, gentle simmer. which chef is correct? a. neither chef is correct. b. chef a is correct. c. both chefs are correct. d. chef b is correct. student c   incorrect which is right answer