document.write( "Question 62067: A frozen turkey is placed in an oven preheated to a temperature of 425 degrees F. The temperature of the inside of the turkey after t minutes is given by M(t)=425(1-e^-kt), where k is a constant. The value of k is 0.047. How long will it take the inside of the turkey to reach a temperature of 400 degrees? \n" ); document.write( "
Algebra.Com's Answer #42813 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A frozen turkey is placed in an oven preheated to a temperature of 425 degrees F. The temperature of the inside of the turkey after t minutes is given by M(t)=425(1-e^-kt), where k is a constant. The value of k is 0.047. How long will it take the inside of the turkey to reach a temperature of 400 degrees? \n" ); document.write( "--------------- \n" ); document.write( "M(t)=425(1-e^-kt), and k=0.047 \n" ); document.write( "400=425(1-e^(-0.047t)) \n" ); document.write( "0.941176... = (1-e^(-0.047t)) \n" ); document.write( "1-0.941176... = e^(-0.047t) \n" ); document.write( "1-0.941176... = e^(-0.047t) \n" ); document.write( "0.058835...=e^(-0.047t) \n" ); document.write( "Take the natural log of both sides to get: \n" ); document.write( "-2.83321...=-0.047t \n" ); document.write( "t=60.28 minutes \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |