Charlena, a shelf stocker, offers megan the post of vice president of procurement to express appreciation for megan's hand work in stocking the shelves at charlena's store, thrift city. megan creates business cards with her new title on them and uses one to purchase a new truck in thrift city's name from highway auto. which of these types of authority, if any, has charlena given megan? a. apparent authorityb. express authorityc. operation of law authorityd. charlena has likely given megan no authority

Acrosswalk_when there are no pavement markings.

Your parents have accumulated a $170,000 nest egg. they have been planning to use this money to pay college costs to be incurred by you and your sister, courtney. however, courtney has decided to forgo college and start a nail salon. your parents are giving courtney $20,000 to her get started, and they have decided to take year-end vacations costing $8,000 per year for the next four years. use 8 percent as the appropriate interest rate throughout this problem. use appendix a and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. how much money will your parents have at the end of four years to you with graduate school, which you will start then?

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?