SOLUTION: The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation T(t) = 64e^ −0.0174t + 77. To the nearest degree, what is the temperat

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation T(t) = 64e^ −0.0174t + 77. To the nearest degree, what is the temperat      Log On


   

Question 1129612: The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation
T(t) = 64e^ −0.0174t + 77.
To the nearest degree, what is the temperature of the object after one and a half hours?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation
T(t) = 64e^ −0.0174t + 77.
To the nearest degree, what is the temperature of the object after one and a half hours?
T(t) = 64%2Ae%5E%28-.0174t%29%2B+77
t = 90 min
T(t) = 64%2Ae%5E%28-.0174%2A90%29%2B+77
T(t) = 64%2Ae%5E%28-1.566%29%2B+77
T(t) = 64%2A.208879+%2B+77
T(t) = 13.368 + 77
T(t) ~ 90 degrees after 1.5hrs