document.write( "Question 165360: A candle shop makes 60 candles per week. It plans to increase the number of candles it makes by 8% until it reaches a production of 132 candles per week. How many weeks will it take for the shop to reach its production scheldule? \n" ); document.write( "
Algebra.Com's Answer #121933 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A candle shop makes 60 candles per week. It plans to increase the number of candles it makes by 8% until it reaches a production of 132 candles per week. How many weeks will it take for the shop to reach its production schedule? \n" ); document.write( ": \n" ); document.write( "Let t = no. of weeks for this to happen \n" ); document.write( ": \n" ); document.write( "Treat this like compound interest: \n" ); document.write( "60*(1.08)^t = 132 \n" ); document.write( ": \n" ); document.write( "1.08^t = \n" ); document.write( ": \n" ); document.write( "1.08^t = 2.2 \n" ); document.write( ": \n" ); document.write( "t*log(1.08) = log(2.2) \n" ); document.write( ": \n" ); document.write( ".03342t = .34242 \n" ); document.write( "t = \n" ); document.write( "t = 10.25 weeks \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check on a calc enter: 60*1.08^10.25 = 132.0 \n" ); document.write( " |