document.write( "Question 1032278: Newton’s law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. So the rate of cooling for a bottle of lemonade at a room temperature of 75°F which is placed into a refrigerator with temperature of 38°F can be modeled by dT/dt=k(T-38) where T(t) is the temperature of the lemonade after t minutes and T(0) = 75. After 30 minutes the lemonade has cooled to 60°F, so T(30) = 60.
\n" ); document.write( "To the nearest degree, what is the temperature of the lemonade after an additional 30 minutes?
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Algebra.Com's Answer #646915 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
This is just a follow-up to the other problem.\r
\n" ); document.write( "\n" ); document.write( "After 30 minutes, the temperature was 60°F.\r
\n" ); document.write( "\n" ); document.write( "After an additional 30 minutes, the temperature is T(60).\r
\n" ); document.write( "\n" ); document.write( "The equation that was obtained previously was \"T%28t%29+=+38%2B37%2822%2F37%29%5E%28t%2F30%29\".\r
\n" ); document.write( "\n" ); document.write( "==> \"T%2860%29+=+38%2B37%2822%2F37%29%5E%2860%2F30%29+=+38%2B37%2822%2F37%29%5E2%7D+\"= 51°F, to the nearest degree.
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