Karla salons leased equipment from smith co. on july 1, 2018, in a finance lease. the present value of the lease payments discounted at 10% was $80,000. ten annual lease payments of $12,000 are due each year beginning july 1, 2018. smith co. had constructed the equipment recently for $66,000, and its retail fair value was $80,000. the total decrease in earnings (pretax) in karla's december 31, 2018, income statement would be (ignore taxes):
$12,000
$4,000
$3,400
$5,000

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Selected data for stick’s design are given as of december 31, year 1 and year 2 (rounded to the nearest hundredth). year 2 year 1 net credit sales $25,000 $30,000 cost of goods sold 16,000 18,000 net income 2,000 2,800 cash 5,000 900 accounts receivable 3,000 2,000 inventory 2,000 3,600 current liabilities 6,000 5,000 compute the following: 1. current ratio for year 2 2. acid-test ratio for year 2 3. accounts receivable turnover for year 2 4. average collection period for year 2 5. inventory turnover for year 2

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.