Lucas invests $2000 per year in his retirement account for 40 years in an investment with an average annual return of 10%. Approximately how much will he have after 40 years

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.

University hero is considering expanding operations beyond its healthy sandwiches. jim axelrod, vice president of marketing, would like to add a line of smoothies with a similar health emphasis. each smoothie would include two free health supplements such as vitamins, antioxidants, and protein. jim believes smoothie sales should fill the slow mid-afternoon period. adding the line of smoothies would require purchasing additional freezer space, machinery, and equipment. jim provides the following projections of net sales, net income, and average total assets in support of his proposal. sandwichesonly sandwiches and smoothies net sales $ 750,000 $ 1,350,000 net income 120,000 210,000 average total assets 350,000 750,000 return on assetschoose numerator ÷ choose denominator = return on assets÷ = return on assets÷ = profit margin÷ = profit margin÷ = asset turnover÷ = asset turnover÷ = times

Andrea cujoli is a currency speculator who enjoys "betting" on changes in the foreign currency exchange market. currently the spot price for the japanese yen is ¥129.87/$ and the 6-month forward rate is ¥128.53/$. andrea would earn a higher rate of return by buying yen and a forward contract than if she had invested her money in 6-month us treasury securities at an annual rate of 2.50%. true/false?