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Mrs. Cunningturkey works at Mabash College as an executiveassistant to the universally reviled President Less. President Lessis widely known to care nothing about students, and every daychooses a random student car to tow away and crush for scrapmetal.

On Monday morning, Mrs. Cunningturkey arrives to President Less’office promptly at 0750. There she discovers the corpse ofPresident Less and the murder weapon: a chicken leg from the nearbyStarks Center. The body shows clear signs of blunt force trauma. At0800, detectives from the Trawfordshire Police Department arriveand begin an investigation. The coroner notes that the temperatureof the corpse is 32◦C and that the room temperature is 25◦C. Twohours later, the corpse is 31◦C. Assume that normal human bodytemperature is 37◦C.

The following people were seen in the vicinity of PresidentLess’ office over the weekend:

• Professor Trix, who sometimes smokes cigars with PresidentLess, was noticed leaving the building at 2200 the night before.However, President Less recently smoked a bunch of the professor’sfavorite Cubans without him.

• Major Mustard, who is in charge of the Car Towing and CrushingBrigade, was seen in the parking lot at 2100 the night before.Major Mustard and President Less recently had an argument aboutmoney raised from the towing and crushing business. Major Mustardwas especially concerned with the fact that another university’stowing and crushing business might ketchup.

• Muscles McTouchdown, captain of the football team and recenttow/crush victim, was seen running across campus towards the BetaRho Omicron fraternity at midnight. He was overheard muttering“I’ve got him this time!

• Mark Bosak, a frequent critic of President Less in the campuspublication The Spouseless, was seen walking in the direction ofPresident Less’ office at 0100.

Investigators from the Trawfordshire Special Mathematics Unitalso become involved, since mathematical crimes are consideredespecially heinous (these are their stories). They discover thatPresident Less had been secretly embezzling funds from thetow/crush scheme. In 2018, he decided to take money he had madefrom the scheme and park it in two different banks:

• $10,000 with Tax-Dodge Bank, of the Cayman Islands. Theaccount pays 5% interest compounded monthly.

• $15,000 with Euler Bank, based in Switzerland. This accountpays only 4% but, befitting the name, compounds continuously.

(1) How fast is the body cooling at 0800? At 1000?

(2) Who is your chief suspect for the murder of President Less,and why?

(3) How much money will be in both secret bank accounts after 25years?

Submit your evidence to your instructor by 1600 Friday. Yourwriting and exposition should be clear and concise, and good enoughthat a juror who knows some calculus (but not about Newton’s Law ofCooling or compound interest) would be able to read it!