Question

Who Killed Kenny? At 2:45am on a night in 2006, Tammy, a maid who works in the house of multi-millionaire Kenny claims she was awoken by the sound of a loud thud outside her window. She got out of bed to discover that her employer had apparently fallen from one of his mansion's four balconies (1st, 2nd 3rd, and 4th floors). He was dead. Police arrived at 3:15am, and immediately noticed that Kenny was more than 7 feet horizontally away from the end of the balconies Immediately the police sequestered those who were in the house that night; all are suspects in the murder. Police contacted Kenny's secretary, who was not at the house that evening, and obtained his schedule from the day before. Kenny had a dinner party the evening before. He had invited his friends, Mr. and Mrs. Jefferson. The Jefferson's arrived at 2pm and spent the hour between 3:30pm and 4:30pm alone with Kenny in a closed meeting over tea. Kenny's old business partner and his wife, Mr. and Mrs. Smith had arrived late to the dinner and spent an hour with Kenny privately over coffee after dinner between 9:00 and 10:00pm As the CSI team arrived, the police began to interview the maid, Tammy. She told them that indeed Kenny hosted a dinner party that night. She had even prepared Kenny's favorite dessert, rhubarb pie. In addition to the Smiths and Jefferson's, she indicated that Kenny's son John had also attended the dinner. John had arrived that morning. Kenny had some brandy with his son from 10:30pm to 11:30pm and had read alone in his study between the meeting with son and the According to Tammy, Kenny's evening had not been very eventful. She last seen him alive at feeling well and he was running a fever of 100.2°F. At the time he was alone and was going to Smith's 11:45pm when she brought him his medication with a glass of water, she indicated that he wasn't sleep. She also noted that he felt like he was burning up and elected to sleep with the doors to the h floor balcony opened that evening despite the cool temperature of 67.2°F. Additionally she indicated that the Smiths and Jefferson's slept that evening in the guest b John slept on a cot in his father's 3rd floor, and she slept in the maids' quarters on the 1s floor. The etectives measured that each balcony is 10 feet in h floor balcony is 5 feet above the ground edroom on the 2nd floor. eight from each other, and the deck of the 1st Following Tammy's interview, the CSI team told detectives that it was definitely a murder; there were no bloodstains on the sidewalk where Kenny had landed. Given the injuries they determin that he had hit the ground with a velocity between 43 and 46 feet per second ed After sealing off the house and sending Kenny to the morgue for further tests, the CSI crew left the scene around 6:30am and returned with more results at 10am. When they returned they told uspects that toxicology results had left them puzzled. First they noted that the medical examiner

Answer 1

Given that the toxicology reports indicated poison = 900 mg and the disis 1/3 and absorption = 1/5 He was running a fever of 100.2 degree F They noted that the medical examiner has estimated the victims core body temperature at 83.3 degree f at 4 AM Temperature at 6.15 Am at 75.2 degree f The rate of which poison changes in the bloodstream once it is given by differential equation dy/dt = abe^-bt - cy rightarrow (m) where a = dosage of poison = 900 b = disconstant = 1/3 c = absorption constant of the drug = 1/5 Substituting all values in eq^n (m) then dy/dt = 900 times 1/3.e^-1/3(t) - 1/5 y = > 900/3 e^-1/3(t) - y/5 = > 300. e^-t/3 - t/5 y = -3 times 300 e^-t/3 = -900 e^-1/3 Given that, prevalent in kennel's system bad been ingested sometime in post 24 hours. by the use of clue that is 2.45 Am previous

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