Arlene is single and has taxable income of $34,000. Her tax liability is currently $4,636. She has the opportunity to earn an additional $6,000 this year. Her tax liability will grow to $5,771 if she receives the additional income. What is Arlene's marginal tax rate for the additional $6,000?

You are the manager in charge of global operations at bankglobal – a large commercial bank that operates in a number of countries around the world. you must decide whether or not to launch a new advertising campaign in the u.s. market. your accounting department has provided the accompanying statement, which summarizes the financial impact of the advertising campaign on u.s. operations. in addition, you recently received a call from a colleague in charge of foreign operations, and she indicated that her unit would lose $8 million if the u.s. advertising campaign were launched. your goal is to maximize bankglobal’s value. should you launch the new campaign? explain. pre-advertising campaign post-advertising campaign total revenues $18,610,900 $31,980,200 variable cost tv airtime 5,750,350 8,610,400 ad development labor 1,960,580 3,102,450 total variable costs 7,710,930 11,712,850 direct fixed cost depreciation – computer equipment 1,500,000 1,500,000 total direct fixed cost 1,500,000 1,500,000 indirect fixed cost managerial salaries 8,458,100 8,458,100 office supplies 2,003,500 2,003,500 total indirect fixed cost $10,461,600 $10,461,600

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.

Describe what fixed costs and marginal costs mean to a company.