Darius Miller is seeking to accumulate $50,000 in six years to invest in a real estate venture. He can earn 6.35 percent annual interest with monthly compounding in private investment. How much will he have to invest today to reach his goal? (Round to the nearest dollar.)

On january 2, 2016, twilight hospital purchased a $94,800 special radiology scanner from bella inc. the scanner had a useful life of 4 years and was estimated to have no disposal value at the end of its useful life. the straight-line method of depreciation is used on this scanner. annual operating costs with this scanner are $106,000. approximately one year later, the hospital is approached by dyno technology salesperson, jacob cullen, who indicated that purchasing the scanner in 2016 from bella inc. was a mistake. he points out that dyno has a scanner that will save twilight hospital $26,000 a year in operating expenses over its 3-year useful life. jacob notes that the new scanner will cost $111,000 and has the same capabilities as the scanner purchased last year. the hospital agrees that both scanners are of equal quality. the new scanner will have no disposal value. jacob agrees to buy the old scanner from twilight hospital for $40,500. if twilight hospital sells its old scanner on january 2, 2017, compute the gain or loss on the sale. prepare an incremental analysis of twilight hospital.

Susie buys two goods - rounds of golf and massages. suppose that the price of a round of golf is $20, and the price of a massage is $30. in a typical week susie will play two rounds of golf, getting 20 units of satisfaction from the second round. she normally buys three massages each week, with the third giving her 30 units of satisfaction. if she were to buy a fourth massage in a week, it would give her 20 units of satisfaction. if the price of massages is reduced to $15, which of the following outcomes might we expect to occur? a) susie would leave her consumption choices unchanged because of diminishing marginal utility in the consumption of massages. b) susie would buy more massages and more rounds of golf, as predicted by the substituion effect. c) susie would buy more massages and fewer rounds of golf, as predicted by the substitution effect. d) susie would buy more massage and fewer rounds of golf, as predicted by income effect.

At december 31, 2018, newman engineering’s liabilities include the following: $29 million of 5% bonds were issued for $29 million on may 31, 1999. the bonds mature on may 31, 2029, but bondholders have the option of calling (demanding payment on) the bonds on may 31, 2019. however, the option to call is not expected to be exercised, given prevailing market conditions. $33 million of 4% notes are due on may 31, 2022. a debt covenant requires newman to maintain current assets at least equal to 194% of its current liabilities. on december 31, 2018, newman is in violation of this covenant. newman obtained a waiver from national city bank until june 2019, having convinced the bank that the company’s normal 2 to 1 ratio of current assets to current liabilities will be reestablished during the first half of 2019. $26 million of 7% bonds were issued for $26 million on august 1, 1989. the bonds mature on july 31, 2019. sufficient cash is expected to be available to retire the bonds at maturity. required: classify the above mentioned debts as current liabilities or noncurrent liabilities. also, provide corresponding value for the same. (enter your answer in millions (i. e., 10,000,000 should be entered as