invest $2,000 in a pre-seed round of a startup with a $1 million pre-money valuation. There are 1 million shares outstaning (pre-money). The entire pre-seed round raised is $400,000. What percentage of the company do you approximately own after the raise

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

In early january, burger mania acquired 100% of the common stock of the crispy taco restaurant chain. the purchase price allocation included the following items: $4 million, patent; $3 million, trademark considered to have an indefinite useful life; and $5 million, goodwill. burger mania's policy is to amortize intangible assets with finite useful lives using the straight-line method, no residual value, and a five-year service life. what is the total amount of amortization expense that would appear in burger mania's income statement for the first year ended december 31 related to these items?

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a. no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative. b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child. c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative. d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.