Under title vii of the civil rights act of 1964, which of the following occurs procedurally after an employee-plaintiff establishes a prima facie case in an action alleging disparate-treatment discrimination in employment in the form of an illegal discharge?
1. the plaintiff wins by default judgment or by summary judgment.
2. the burden of proof shifts to the employer-defendant to articulate a legitimate, nondiscriminatory business reason for the discharge.
3. the burden of proof shifts to the employer-defendant to establish beyond reasonable doubt that the alleged discrimination did not occur.
4. the burden of proof remains with the employee-plaintiff to prove discrimination beyond reasonable doubt, the standard of proof in a disparate-treatment case.

You are the manager of the packaging department in a cookie factory. (obviously, the packaging employees cannot eat the cookies that are transferred in during the period.) after your employees insert cookies into colorful packages (step 1) for display on store shelves, the packages of cookies are then boxed using cardboard cartons (step 2) for shipment to stores. each unit of product is represented by a carton of packaged cookies. the packaging department began the period with 1,000 units of cookies. during the period, 5,000 units of cookies were transferred in from the baking department and 5,500 units of cookies were transferred out to the finished goods department. the number of units of cookies in the ending inventory of the packaging department equals:

Christopher kim, cfa, is a banker with batts brothers, an investment banking firm. kim follows the energy industry and has frequent contact with industry executives. kim is contacted by the ceo of a large oil and gas corporation who wants batts brothers to underwrite a secondary offering of the company's stock. the ceo offers kim the opportunity to fly on his private jet to his ranch in texas for an exotic game hunting expedition if kim's firm can complete the underwriting within 90 days. according to cfa institute standards of conduct, kim: a) may accept the offer as long as he discloses the offer to batts brothers. b) may not accept the offer because it is considered lavish entertainment. c) must obtain written consent from batts brothers before accepting the offer.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.