How much money would have to be placed in an account each year to replace a machine costing $20,000 today at the end of 10 years if the fund yields 9% annual interest rate compounded yearly and if the cost of the machine is assumed to increase at 5% annually for the next 10 years? Assume the salvage value is zero.

When someone buys a fourth television for his or her house, what is the result? a. there's a decrease in the marginal utility of the television. b. the increase in demand brings leads to higher prices for televisions. c. the production of televisions becomes more efficient. d. there's a rise in the opportunity cost of buying other goods.

Data pertaining to the current position of forte company are as follows: cash $437,500 marketable securities 170,000 accounts and notes receivable (net) 320,000 inventories 700,000 prepaid expenses 42,000 accounts payable 240,000 notes payable (short-term) 250,000 accrued expenses 310,000 required: 1. compute (a) the working capital, (b) the current ratio, and (c) the quick ratio. round ratios to one decimal place. 2. compute the working capital, the current ratio, and the quick ratio after each of the following transactions, and record the results in the appropriate columns of the table provided. consider each transaction separately and assume that only that transaction affects the data given. round to one decimal place. a. sold marketable securities at no gain or loss, 75,000. b. paid accounts payable, 135,000. c. purchased goods on account, 100,000. d. paid notes payable, 105,000. e. declared a cash dividend, 125,000. f. declared a common stock dividend on common stock, 45,000. g. borrowed cash from bank on a long-term note, 205,000. h. received cash on account, 130,000. i. issued additional shares of stock for cash, 635,000. j. paid cash for prepaid expenses, 15,000.

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.