Suppose that the total profit in hundreds of dollars from selling x items is given by Upper P (x )equals 3 x squared minus 4 x plus 10. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 3 to 5. $ nothing per item

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

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?

Suppose portugal has 700 workers and 26,000 units of capital, and france has 18,000 workers and 700 units of capital. technology is identical in both countries. assume that wine is the capital-intensive good and cloth is the labor-intensive good. which of the following statements is correct if the nations start trading with each other? a) wages will increase in portugal.b) rental rates in france will increase.c) wages in france will decrease.d) rental rates in portugal will increase.