Recently, a bank was trying to decide what fee to charge for "expedited payments"long dash payments that the bank would transmit extra speedily to enable customers to avoid late fees on cable TV bills, electric bills, and the like. To try to determine what fee customers were willing to pay for expedited payments, the bank conducted a survey. It was able to determine that many of the people surveyed already paid fees for services that exceeded the maximum fees that they said they were willing to pay. This illustrates that:

What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a. no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative. b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child. c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative. d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.

Cadbury has a chocolate factory in dunedin, new zealand. for easter, it makes two kinds of “easter eggs”: milk chocolate and dark chocolate. it cycles between producing milk and dark chocolate eggs. the table below provides data on these two products. demand (lbs per hour) milk: 500 dark: 200 switchover time (minutes) milk: 60 dark: 30 production rate per hour milk: 800 dark: 800 for example, it takes 30 minutes to switch production from milk to dark chocolate. demand for milk chocolate is higher (500lbs per hour versus 200 lbs per hour), but the line produces them at the same rate (when operating): 800 lbs per hour. a : suppose cadbury produces 2,334lbs milk chocolate and 1,652 lbs of dark chocolate in each cycle. what would be the maximum inventory (lbs) of milk chocolate? b : how many lbs of milk and dark chocolate should be produced with each cycle so as to satisfy demand while minimizing inventory?