There are two countries on a peninsula. The first has a real GDP per capita annual growth rate of 2% and its neighbor to the south has an annual growth rate of 5%. How much sooner will the country in the south double its GDP per capita than its neighbor in the north?

A) 21 years
B) 15 years
C) 10 years
D) 5 years

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

For the past six years, the price of slippery rock stock has been increasing at a rate of 8.21 percent a year. currently, the stock is priced at $43.40 a share and has a required return of 11.65 percent. what is the dividend yield? 3.20 percent 2.75 percent 3.69 percent

Camilo is a self-employed roofer. he reported a profit of $30,000 on his schedule c. he had other taxable income of $5,000. he paid $3,000 for hospitalization insurance. his self-employment tax was $4,656. he paid his former wife $4,000 in court-ordered alimony and $4,000 in child support. what is the amount camilo can deduct in arriving at adjusted gross income (agi)?