Your grandmother bought an annuity from rock solid life insurance company for $200,000 when she retired. in exchange for the $200,000, rock solid will pay her $25,000 per year until she dies. the interest rate is 5%. how long must she live after the day she retired to come out ahead (that is, to get more in value than what she paid in)

Martinez manufacturing applies overhead based on direct labor hours. the company estimates that their overhead for the year will be $180,000, and that they will use 72,000 direct labor hours. during the year, martinez manufacturing actually used 75,000 direct labor hours and actual overhead costs were $190,000. at the end of the year, manufacturing overhead was: overapplied by $2,500. overapplied by $10,000. underapplied by $2,500. underapplied by $10,000.

In 2007, americans smoked 19.2 billion packs of cigarettes. they paid an average retail price of $4.50 per pack. a. given that the elasticity of supply is 0.50.5 and the elasticity of demand is negative 0.4−0.4, derive linear demand and supply curves for cigarettes. the demand equation is qdequals=nothingplus+nothing times ×p and the supply equation is qsequals=nothingplus+nothing times ×p.

An employer who is considering hiring eva has asked donna, eva’s former supervisor, for a report on eva. in truth, eva’s work for donna has been only average. however, eva is donna’s friend, and donna knows that eva probably will not get the job if she says anything negative about eva, and donna knows that eva desperately needs the job. further, donna knows that if the situation were reversed, she would not want eva to mention her deficiencies. nevertheless, it has been donna’s policy to reveal the deficiencies of employees when she has been asked for references by employers, and she knows that some of eva’s faults may be bothersome to this particular employer. finally, this employer has leveled with donna in the past when donna has asked for a report on people who have worked for him. should donna reveal deficiencies in eva’s past performance? (remember to use one of the three moral theories acceptable for this test to solve this dilemma. any discussion of any personal opinion, religious perspective, or theory other than the moral theories acceptable for this test will result in a score of "0" for this question.)