Newman Auto Repair is considering the purchase of a hydraulic machine costing approximately $35,000. Using a discount rate of 18%, the present value of future cash inflows are calculated to be $42,000. To yield at least an 18% return, the actual cost of the machine should not exceed the $35,000 estimate by more than:

On january 1, 2018, red flash photography had the following balances: cash, $19,000; supplies, $8,700; land, $67,000; deferred revenue, $5,700; common stock $57,000; and retained earnings, $32,000. during 2018, the company had the following transactions: 1. february 15 issue additional shares of common stock, $27,000. 2. may 20 provide services to customers for cash, $42,000, and on account, $37,000. 3. august 31 pay salaries to employees for work in 2018, $30,000. 4. october 1 purchase rental space for one year, $19,000. 5. november 17 purchase supplies on account, $29,000. 6. december 30 pay dividends, $2,700. the following information is available on december 31, 2018: 1. employees are owed an additional $4,700 in salaries. 2. three months of the rental space has expired. 3. supplies of $5,700 remain on hand. 4. all of the services associated with the beginning deferred revenue have been performed. required: 1. record the transactions that occurred during the year.2. record the adjusting entries at the end of the year.3. prepare an adjusted trial balance.4. prepare an income statement, statement of stockholders’ equity, and classified balance sheet.5. prepare closing entries.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows. direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow. fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.