O EXPONENTIAL AND LOGARITHMIC FUNCTIONSMaxFinding the time given an exponential function with base e that m...Esp-Ahmad places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the followingfunction, where t is the number of minutes since the bottle was placed in the cooler.C(t)=915e 0.025tAhmad wants to drink the water when it reaches a temperature of 20 degrees Celsius. How many minutes should he leave it in thecooler?Round your answer to the nearest tenth, and do not round any intermediate computations.minutes?X

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Asked Sep 27, 2019
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O EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Max
Finding the time given an exponential function with base e that m...
Esp-
Ahmad places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the following
function, where t is the number of minutes since the bottle was placed in the cooler.
C(t)=915e 0.025t
Ahmad wants to drink the water when it reaches a temperature of 20 degrees Celsius. How many minutes should he leave it in the
cooler?
Round your answer to the nearest tenth, and do not round any intermediate computations.
minutes
?
X
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O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Max Finding the time given an exponential function with base e that m... Esp- Ahmad places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler. C(t)=915e 0.025t Ahmad wants to drink the water when it reaches a temperature of 20 degrees Celsius. How many minutes should he leave it in the cooler? Round your answer to the nearest tenth, and do not round any intermediate computations. minutes ? X

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Expert Answer

Step 1

The given temperature function C(t) is

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C(t) =9+15e 0.025

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Step 2

So at C(t)=20 degr...

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20 915e-0.025 15e-0.025t 11 11 -0.025 15 takin In 11 In 15 In(e 025) In 15 -0.025 1 25 t = In 1000 11 15 1000 11 In 25 t 15 t -40 x(-0.31015) t -12.41

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