Listed below are several transactions that took place during the first two years of operations for the law firm of pete, pete, and roy. year 1 year 2amounts billed to clients for services rendered $ 170,000 $ 220,000 cash collected from clients 160,000 190,000 cash disbursements salaries paid to employees for services rendered during the year 90,000 100,000 utilities 30,000 40,000 purchase of insurance policy 60,000 0 in addition, you learn that the company incurred utility costs of $35,000 in year 1, that there were no liabilities at the end of year 2, no anticipated bad debts on receivables, and that the insurance policy covers a three-year period. required: 1. & 3. calculate the net operating cash flow for years 1 and 2 and determine the amount of receivables from clients that the company would show in its year 1 and year 2 balance sheets prepared according to the accrual accounting model.2. prepare an income statement for each year according to the accrual accounting model.

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

Your parents have accumulated a $170,000 nest egg. they have been planning to use this money to pay college costs to be incurred by you and your sister, courtney. however, courtney has decided to forgo college and start a nail salon. your parents are giving courtney $20,000 to her get started, and they have decided to take year-end vacations costing $8,000 per year for the next four years. use 8 percent as the appropriate interest rate throughout this problem. use appendix a and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. how much money will your parents have at the end of four years to you with graduate school, which you will start then?

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.