Suppose valerie is an avid reader and buys only mystery novels. valerie deposits $3,000 in a bank account that pays an annual nominal interest rate of 15%. assume this interest rate is fixed—that is, it won't change over time. at the time of her deposit, a mystery novel is priced at $15.00. initially, the purchasing power of valerie's $3,000 deposit is mystery novels.

Afreelance​ singer-songwriter is planning the restoration of a recently purchased civil​ war-era farmhouse. while he professes an enjoyment​ of, and talent in the construction​ trades, the theory of comparative advantage implies that a. the value of what he imports​ (in this​ case, professional contractor​ services) must equal the value of what he exports​ (songs). b. he should concentrate on the restoration work since his​ out-of-pocket costs will be much lower than if he hires professionals. c. ​self-sufficiency is​ advantageous, hence he should split his time between music and construction. d. the income lost while away from music will likely exceed the savings realized by doing the work​ himself, thus, he should hire professionals to do the restoration work. e. he ought to do as much of the work himself as possible since imports​ (in this​ case, professional contractor​ services) should always be restricted to those things that cannot be done internall

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?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?