Ruby is 25 and has a good job at a biotechnology company. She currently has $11,400 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 9 percent, and she plans to leave it untouched until she retires at age 65. Ruby estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year (she expects that Social Security will pay her an additional $15,000 a year).How much will Ruby's IRA be worth when she needs to start withdrawing money from it when she retires?

If you want to compare two different investments, what should you calculate

The following balance sheet for the los gatos corporation was prepared by a recently hired accountant. in reviewing the statement you notice several errors. los gatos corporation balance sheet at december 31, 2018 assets cash $ 44,000 accounts receivable 86,000 inventories 57,000 machinery (net) 122,000 franchise (net) 32,000 total assets $ 341,000 liabilities and shareholders' equity accounts payable $ 54,000 allowance for uncollectible accounts 7,000 note payable 59,000 bonds payable 112,000 shareholders' equity 109,000 total liabilities and shareholders' equity $ 341,000 additional information: cash includes a $22,000 restricted amount to be used for repayment of the bonds payable in 2022. the cost of the machinery is $194,000. accounts receivable includes a $22,000 note receivable from a customer due in 2021. the note payable includes accrued interest of $7,000. principal and interest are both due on february 1, 2019. the company began operations in 2013. income less dividends since inception of the company totals $37,000. 52,000 shares of no par common stock were issued in 2013. 200,000 shares are authorized. required: prepare a corrected, classified balance sheet. (amounts to be deducted should be indicated by a minus sign.)

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