A cup of coffee is heated to 180°F and placed in a room that maintains a temperature of 80°F. The temperature of the coffee after t minutes is given by T(t) = 80 + 115e¬0.042€. (a) Find the temperature, to the nearest degree, of the coffee 30 minutes after it is placed in the room. 112.6 °F (b) Determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 140°F. 190 x min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 39E
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-0.042t
A cup of coffee is heated to 180°F and placed in a room that maintains a temperature of 80°F. The temperature of the coffee after t minutes is given by T(t)
= 80 + 115e
(a) Find the temperature, to the nearest degree, of the coffee 30 minutes after it is placed in the room.
112.6
°F
(b) Determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 140°F.
190
X min
Transcribed Image Text:-0.042t A cup of coffee is heated to 180°F and placed in a room that maintains a temperature of 80°F. The temperature of the coffee after t minutes is given by T(t) = 80 + 115e (a) Find the temperature, to the nearest degree, of the coffee 30 minutes after it is placed in the room. 112.6 °F (b) Determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 140°F. 190 X min
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