Let qa be the quantity demanded of good a, pa be the price of good a, pb be the price of good b, and m be income. let the demand equation be qa=86-5pa-4pb+2m. if we know that pa=6, pb=3, and m=30, then the approximate value of the cross-price elasticity of demand is:

Match the vocabulary word to the correct definition. 1. sexual harassment 2. terminate 3. recruitment 4. professional development 5. union a. any unwanted sexual attention, the suggestions that maintaining one’s job or professional advancement depends on sexual favors, or verbal and/or physical harassment of a sexual nature b. to fire from a job or end a professional relationship c. an organization of those in the same industry who join together to more effectively bargain with employers d. the process of attracting and hiring employees e. continuing education in a chosen field

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.