smokey's sandwich shoppe paid $3,000 for a 2minusyear insurance policy on march 1, 2018. the accountant forgot to make any adjustments during the year. what effect would this have on the financial statements for 2018?

You have just been hired as a financial analyst for barrington industries. unfortunately, company headquarters (where all of the firm's records are kept) has been destroyed by fire. so, your first job will be to recreate the firm's cash flow statement for the year just ended. the firm had $100,000 in the bank at the end of the prior year, and its working capital accounts except cash remained constant during the year. it earned $5 million in net income during the year but paid $800,000 in dividends to common shareholders. throughout the year, the firm purchased $5.5 million of machinery that was needed for a new project. you have just spoken to the firm's accountants and learned that annual depreciation expense for the year is $450,000; however, the purchase price for the machinery represents additions to property, plant, and equipment before depreciation. finally, you have determined that the only financing done by the firm was to issue long-term debt of $1 million at a 6% interest rate. what was the firm's end- of-year cash balance? recreate the firm's cash flow statement to arrive at your answer

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.

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.