Suppose you are a thirty-year-old worker choosing between an ira, a roth ira and a regular brokerage account. your marginal federal tax rate is 15% now and 15% in retirement. your investment of $1000 of reduction of current consumption will earn before tax return of 7% for 35 years (note, this means that you invest approximately $1176=$1000/(1-.15) for a regular ira, getting back $176 as reduced taxes, in the first example, while you invest $1000 for the other two types of accounts). the tax on investment returns on a regular brokerage account is 10% (meaning you earn a 6.3% after tax annual yield).

Fred smithers, a recent college graduate decided to open his own portable juice bar, smithers smoothies, to wheel around newport beach. you, a trusted friend of fred, are a business major that has also recently graduated and agreed to handle the books for a while to get some practical experience and have a favor that you can ask of fred in the future. given the following five transactions concerning the new venture, prepare the necessary journal entries for the transactions, post the journal entries to appropriate t accounts and prepare a trial balance as of the end of the month in order to answer to the necessary may 2: fred invests $12,000 of his own money to start the new company. this money was obtained from a part-time job working at a legal firm while he was in school. may 3: fred spent $5,100 cash to purchase a refrigerated trailer that he can pull behind his car and set up at the beach. under your advice, fred agrees to place the new asset under an account called "equipment." may 6: fred bought $640 of supplies on account from the flav-o-rite confectioners company. because they will last longer than a single accounting period fred agrees to record them as, "supplies" as per your suggestion. may 13: fred sat on the beach for six hours without a single sale and was feeling very down. right before he left, however, a plumber escorting his family reunion along the beach stopped by his stand and bought $800 worth of smoothies for the entire family. under your advice, fred agrees to call this cash revenue, "sales." may 15: excited about his new venture, fred withdraws $350 from the company to take his girlfriend out to dinner. what would be the balance in the cash account at the end of the period following the posting of all the transactions?

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Your father's employer was just acquired, and he was given a severance payment of $375,000, which he invested at a 7.5% annual rate. he now plans to retire, and he wants to withdraw $35,000 at the end of each year, starting at the end of this year. how many years will it take to exhaust his funds, i.e., run the account down to zero? a. 22.50 b. 23.63 c. 24.81 d. 26.05 e. 27.35