Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (To - C) e where t is the time it takes for an object to cool from temperature To to temperature T, C is the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 201°F and is left to cool in a room that has a temperature of 67 F. After 40 minutes, the temperature of the cake is 134°F. What is the temperature of the cake after 60 minutes? After 60 minutes, the temperature of the cake is PF. (Do not round until the final answer. Then round to the nearest whole number as needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
icon
Related questions
Question
Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (Tn -C) e -kt where t is the time it takes for an object to cool from temperature To to
temperature T, C is the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 201°F and is left to cool in a room that has a temperature of 67°F.
After 40 minutes, the temperature of the cake is 134°F. What is the temperature of the cake after 60 minutes?
....
After 60 minutes, the temperature of the cake is I'F.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
Vi
1.
(I1)
More
Textbook
Print
Clear all
Check answer
MacBook Air
80
F3
888
DII
esc
F1
F2
F4
F9
F10
F12
@
#3
$
&
*
1
2
3
4
5
6
8
9
%3D
delete
Q
E
R
Y
U
D
F
J
K
く
>
V
R
N
...*
ミ
Transcribed Image Text:Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (Tn -C) e -kt where t is the time it takes for an object to cool from temperature To to temperature T, C is the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 201°F and is left to cool in a room that has a temperature of 67°F. After 40 minutes, the temperature of the cake is 134°F. What is the temperature of the cake after 60 minutes? .... After 60 minutes, the temperature of the cake is I'F. (Do not round until the final answer. Then round to the nearest whole number as needed.) Vi 1. (I1) More Textbook Print Clear all Check answer MacBook Air 80 F3 888 DII esc F1 F2 F4 F9 F10 F12 @ #3 $ & * 1 2 3 4 5 6 8 9 %3D delete Q E R Y U D F J K く > V R N ...* ミ
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning