State-of-the-art digital imaging equipment purchased 2 years ago for $50,000 had an expected useful life of 5 years and a $5000 salvage value. After its installation the performance, it was upgraded for $20,000 1 year ago. Increased demand now requires another upgrade for an additional $26,000 so that it can be used for three more years. Its new annual operating cost will be $30,000 with a $13,000 salvage after the 3 years. Alternatively, it can be replaced with new equipment costing $64,000, an estimated AOC of $15,000, and an expected salvage of $24,000 after 3 years. If replaced now, the existing equipment can be traded for only $9,000. Use a MARR of 12% per year. Required:
a. Determine whether the company should retain or replace the de- fender now.
b. Based on the poor experience with the current equipment, assume the person doing this analysis decides the challenger may be kept for only 2 years, not 3, with the same AOC and salvage estimates for the 2 years. What is the decision?

Label each scenario with the term that best describes it. use the midpoint method when applicable. marcel duchamp was a famous artist prior to his death, and was known for his dada artwork, including works such as "soft toilet". all of his original sculptures and paintings go on sale. paul owns a tim horton's, a famous donut and coffee franchise. he is willing to sell as many maple glazed donuts as customers want at a price of $1.00 each, but he refuses to sell any donuts for any price lower than $1.00 . the price of facial tissues rises from $2.85 per box to $3.15 . as a result, p& g increases production from 15 million boxes to 25 million boxes of facial tissue. with the school semester starting for both high school and college, papermate chooses to increase production of pens from 38 million to 42 million after global prices of writing instruments increase from $1.90 a package to $2.10 a package. bright ideas increases its production of lightbulbs by 15% after a 400% increase in the price of fluorescent bulbs.labels: elastic supply; perfectly inelastic supply; perfectly elastic supply; inelastic supply; unit-elastic supply.

At the end of year 2, retained earnings for the baker company was $3,550. revenue earned by the company in year 2 was $3,800, expenses paid during the period were $2,000, and dividends paid during the period were $1,400. based on this information alone, retained earnings at the beginning of year 2 was:

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.