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 kt, where t is the time it takes for an object to cool from temperature T, 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 222'F and is left to cool in a room that has a temperature of 74'F. After 40 minutes, the temperature of the cake is 148°F. What is the temperature of the cake after 60 minutes? After 60 minutes, the temperature of the cake is°F. (Do not round until the final answer. Then round to the nearest whole number as needed.)

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 kt, where t is the time it takes for an object to cool from temperature T, 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 222'F and is left to cool in a room that has a temperature of 74'F. After 40 minutes, the temperature of the cake is 148°F. What is the temperature of the cake after 60 minutes? After 60 minutes, the temperature of the cake is°F. (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...

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