document.write( "Question 1120673: According to​ Newton's Law of​ Cooling, if a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1​, the body will either cool or warm to temperature T after t​ minutes, where ​T(t)= T0+​(T1−T0​)e^-kt. A chilled jello salad with temperature 47°F is taken from a refrigerator and placed in a 68°F room. After 5 ​minutes, the temperature of the salad is 53°F. Use​ Newton's Law of Cooling to find the​ salad's temperature after 10 minutes.\r
\n" ); document.write( "\n" ); document.write( "I started the problem by doing t(5)=53+(68-53)e^-5k then simplifying it to t(5)=53+(15)e^-5k and now I am stuck on what to do next. \n" ); document.write( "
Algebra.Com's Answer #736337 by Boreal(15235)\"\" \"About 
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​T(t)= T0+​(T1−T0​)e^-kt.
\n" ); document.write( "T(5)=53=47+21*e^(-5k). To=47. Subtract 47 from both sides then divide both sides by 21
\n" ); document.write( "6/21=e^(-5k)
\n" ); document.write( "0.286=e^-5k, ln both sides
\n" ); document.write( "-1.25=-5k
\n" ); document.write( "k=0.25\r
\n" ); document.write( "\n" ); document.write( "T(10)=53+21*e^(-10k), or e^-2.5
\n" ); document.write( "53+21*e^-2.5=54.72 degrees F.\r
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