Marsha and Jan both invested money on March 1, 2007. Marsha invested $8,000 at Bank A where the interest was compounded quarterly. Jan invested $5,000 at Bank B where the interest was compounded continuously. On March 1, 2011, Marsha had a balance of $10542.78 while Jan had a balance of $6,411.11 What was the interest rate at each bank ?

Consider each of the following cases: case accounting break-even unit price unit variable cost fixed costs depreciation 1 127,400 $ 38 $ 25 $ 711,000 ? 2 124,000 ? 41 2,500,000 $ 900,000 3 5,753 117 ? 171,000 100,000 required: (a) find the depreciation for case 1. (do not round your intermediate calculations.) (b) find the unit price for case 2. (do not round your intermediate calculations.) (c) find the unit variable cost for case 3. (do not round your intermediate calculations.)

Who is better at multi-tasking? in business, employees are often asked to perform a complex task when their atten-tion is divided (i.e., multi-tasking). human factors (may 2014) published a study designed to determine whether video game players are better than non–video game play-ers at multi-tasking. each in a sample of 60 college stu-dents was classified as a video game player or a non-player. participants entered a street crossing simulator and were asked to cross a busy street at an unsigned intersec-tion. the simulator was designed to have cars traveling at various high rates of speed in both directions. during the crossing, the students also performed a memory task as a distraction. two variables were measured for each student: (1) a street crossing performance score (measured out of 100 points) and (2) a memory task score (measured out of 20 points). the researchers found no differences in either the street crossing performance or memory task score of video game players and non-gamers. “these results,” say the researchers, “suggest that action video game players [and non-gamers] are equally susceptible to the costs of dividing attention in a complex task”

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.