Last year Harrington Inc. had sales of $325,000 and a net income of $19,000, and its year-end assets were $250,000. The firm's total-debt-to-total-capital ratio was 17.5%. The firm finances using only debt and common equity, and its total assets equal total invested capital. Based on the DuPont equation, what was the ROE? Do not round your intermediate calculations.

You and your new australian bride matilda, are applying for a loan and are required to submit a balance sheet with your net worth. you own a 2008 toyota camry that you bought last month for $9,995. the kelly blue book value for this car is $13,995. you owe $8,150 on the car loan for the camry. you pay off your visa credit card every month and have not paid any credit card interest this year. the current visa credit card balance is $3,522, and the next statement is due in 15 days. you have a student loan balance of $6,500. you presently have $425 in your checking account and $1,540 in your savings account. you own 100 shares of ibm stock that you purchased for $85.50 per share. one share of ibm is now selling for $158.42. you own computers and other electronics that you purchased for $4,100 but could probably sell today on e-bay for $1,800. your gross income is $80,000 per year. what is your current net worth? (see wb ch. 2 example 2.3)

Wren pork company uses the value basis of allocating joint costs in its production of pork products. relevant information for the current period follows: product pounds price/lb. loin chops 3,000 $ 5.00 ground 10,000 2.00 ribs 4,000 4.75 bacon 6,000 3.50 the total joint cost for the current period was $43,000. how much of this cost should wren pork allocate to loin chops?

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.