After heating up in a teapot, a cup of hot water is poured at a temperature of 201°F. sits to cool in a room at a temperature of 69°F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as The cup given by the formula below: T = Ta + (To - Ta)e kt %3D Ta = the temperature surrounding the object To = the initial temperature of the object t = the time in minutes T = the temperature of the object after t minutes k = decay constant %3D %3D The cup of water reaches the temperature of 184°F after 1.5 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 6 minutes. Enter only the final temperature into the input box.
After heating up in a teapot, a cup of hot water is poured at a temperature of 201°F. sits to cool in a room at a temperature of 69°F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as The cup given by the formula below: T = Ta + (To - Ta)e kt %3D Ta = the temperature surrounding the object To = the initial temperature of the object t = the time in minutes T = the temperature of the object after t minutes k = decay constant %3D %3D The cup of water reaches the temperature of 184°F after 1.5 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 6 minutes. Enter only the final temperature into the input box.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter19: Achievement Review—section One
Section: Chapter Questions
Problem 28AR: A combination of gage Nocks is selected to provide a total thickness of 0.4573 inch. One block 0.250...
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After heating up in a teapot, a cup of hot water is poured at a temperature of 201°F.
The cup sits to cool in a room at a temperature of 69°F. Newton's Law of Cooling
explains that the temperature of the cup.of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = T, + (To – T.)e¯kt
= the temperature surrounding the object
Ta
To
= the initial temperature of the object
t3 the time in minutes
T = the temperature of the object after t minutes
k= decay constant
The cup of water reaches the temperature of 184°F after 1.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 6 minutes.
Enter only the final temperature into the input box.
Transcribed Image Text:A person invests 4500 dollars in a bank. The bank pays 4.75% interest
compounded semi-annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 5900 dollars?
A = P(1+ -)"t
Answer:
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