The following are summary cash transactions that occurred during the year for hilliard healthcare co. (hhc): cash received from: customers $ 690,000 interest on notes receivable 15,000 collection of notes receivable 130,000 sale of land 43,000 issuance of common stock 230,000 cash paid for: interest on notes payable 21,000 purchase of equipment 135,000 operating expenses 455,000 dividends to shareholders 33,000 prepare the cash flows from investing and financing activities sections of hhc’s statement of cash flows.

Hanna intends to give her granddaughter, melodee, her antique hat pin. this heirloom has been kept under lock and key in the wall vault in the library of hanna's house in virginia. the hat pin is currently the only item in the vault. when hanna is visiting melodee in connecticut, hanna gives melodee the only key to the vault. melodee is grateful for the present and excitedly accepts. in this situation has there been a completed gift?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a. what is the firm’s labor demand function? b. if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c. now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

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.