4,000 trips will be made from Zone 1 to Zone 2. Two travel modes, auto and rail, are optional to travelers. If the auto mode is used, the travel time will be 20 minutes and the travel cost will be $1.00. If the rail mode is used, the travel time will be 40 minutes and the rail ticket will cost $2.00. Transportation planners have estimated utility functions for auto and rail as:

P11.2a (lo 2, 4) fechter corporation had the following stockholders’ equity accounts on january 1, 2020: common stock ($5 par) $500,000, paid-in capital in excess of par—common stock $200,000, and retained earnings $100,000. in 2020, the company had the following treasury stock transactions. journalize and post treasury stock transactions, and prepare stockholders’ equity section. mar. 1 purchased 5,000 shares at $8 per share. june 1 sold 1,000 shares at $12 per share. sept. 1 sold 2,000 shares at $10 per share. dec. 1 sold 1,000 shares at $7 per share. fechter corporation uses the cost method of accounting for treasury stock. in 2020, the company reported net income of $30,000. instructions a. journalize the treasury stock transactions, and prepare the closing entry at december 31, 2020, for net income. b. open accounts for (1) paid-in capital from treasury stock, (2) treasury stock, and (3) retained earnings. (post to t-accounts.) c. prepare the stockholders’ equity section for fechter corporation at december 31, 2020.

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.

Why are there so many types of diversion programs for juveniles