At last year's bass tournament, jim caught 12 bass in a four-hour pe- riod. this year he caught 15 in a six-hour period. in which year was he

If a firm plans to issue new stock, flotation costs (investment bankers' fees) should not be ignored. there are two approaches to use to account for flotation costs. the first approach is to add the sum of flotation costs for the debt, preferred, and common stock and add them to the initial investment cost. because the investment cost is increased, the project's expected return is reduced so it may not meet the firm's hurdle rate for acceptance of the project. the second approach involves adjusting the cost of common equity as follows: . the difference between the flotation-adjusted cost of equity and the cost of equity calculated without the flotation adjustment represents the flotation cost adjustment. quantitative problem: barton industries expects next year's annual dividend, d1, to be $1.90 and it expects dividends to grow at a constant rate g = 4.3%. the firm's current common stock price, p0, is $22.00. if it needs to issue new common stock, the firm will encounter a 6% flotation cost, f. assume that the cost of equity calculated without the flotation adjustment is 12% and the cost of old common equity is 11.5%. what is the flotation cost adjustment that must be added to its cost of retaine

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.

The following transactions and events that occurred in the village of kowitt gorge during the calendar year 2019: 1. the village commissioners adopted the following budget: estimated revenues: property taxes $1,850,000 all other revenues 300,000 total revenues $2,150,000 appropriations: all departments other than police $1,000,000 police—salaries 600,000 police—fringe benefits 450,000 police—supplies 80,000 total appropriations $2,130,000 2. the village received, in cash, property taxes of $1,840,000 and all other revenues of $295,000. 3. the village made cash payments, charging the following appropriations: all departments other than police $1,000,000 police—salaries 595,000 police—fringe benefits 390,000 4. the administrator of fringe benefits received an invoice for police employee health insurance in the amount of $95,000, together with a letter from the insurance provider, explaining that the large increase was caused by a change in federal laws. the invoice could not be paid because the police—fringe benefits appropriation had a balance of only $60,000 (appropriation of $450,000 minus expenditures in item 3 of $390,000). as a result, the village commissioners amended the budget as follows: increase: appropriation for police—fringe benefits $35,000 decrease: appropriation for police—salaries 5,000 decrease: appropriation for police—supplies 25,000 use of fund balance 5,000 5. the village paid the invoice for $95,000, referred to in item 4 above, charging the appropriation for police—fringe benefits. 6. the police department placed po 2019a for firearms in the amount of $30,000 and po 2019b for uniforms in the amount of $20,000, all charged to the appropriation for police—supplies. (enter these pos as one transaction.) 7. after receiving po 2019a, the supplier notified the police department that a change in the design of the weapons would increase the cost to $32,000. the department sent the supplier an amended po, increasing it by $2,000. 8. the police department received the uniforms ordered on po 2019b, together with an invoice for $20,000. the department approved the invoice for payment. record the transactions and events applicable to the appropriations for police—fringe benefits and police—supplies in the following appropriations ledger. notes: use a negative sign with your answers if: 1. the amount entered in the appropriation column is a debit (dr.) rather than a credit (cr.); or 2. the amount entered in the expenditures column is a credit (cr.) rather than a debit ( in the available appropriation column, enter the appropriate balance after every transaction/event, even if a transaction isn't recorded in a particular ledger for that transaction. for transaction 6, enter both purchase orders (pos) as one combined transaction. appropriations ledger appropriation: police - fringe benefits appropriation encumbrances expenditures available transaction cr. dr. cr. dr. appropriation 1 answer 0 answer 0 answer 0 answer 0 answer 0 2 answer 0 answer 0 answer 0 answer 0 answer 0 3 answer 0 answer 0 answer 0 answer 0 answer 0 4 answer 0 answer 0 answer 0 answer 0 answer 0 5 answer 0 answer 0 answer 0 answer 0 answer 0 6 answer 0 answer 0 answer 0 answer 0 answer 0 7 answer 0 answer 0 answer 0 answer 0 answer 0 8 answer 0 answer 0 answer 0 answer 0 answer 0 appropriations ledger appropriation: police - supplies appropriation encumbrances expenditures available transaction cr. dr. cr. dr. appropriation 1 answer 0 answer 0 answer 0 answer 0 answer 0 2 answer 0 answer 0 answer 0 answer 0 answer 0 3 answer 0 answer 0 answer 0 answer 0 answer 0 4 answer 0 answer 0 answer 0 answer 0 answer 0 5 answer 0 answer 0 answer 0 answer 0 answer 0 6 answer 0 answer 0 answer 0 answer 0 answer 0 7 answer 0 answer 0 answer 0 answer 0 answer 0 8 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0