document.write( "Question 376937: For 1980 through 1995, the annual sales, S (in thousands of dollars) of a photography studio can be modeled by S = -1/8t^2 + 3t +42, where t=0 represents 1980. During which year did the studio sell $59,500? \n" ); document.write( "
Algebra.Com's Answer #268035 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! For 1980 through 1995, the annual sales, S (in thousands of dollars) of a photography studio can be modeled by S = -1/8t^2 + 3t +42, where t=0 represents 1980. During which year did the studio sell $59,500? \n" ); document.write( ". \n" ); document.write( "Set S to 59.5 and solve for t: \n" ); document.write( "59.5 = -1/8t^2 + 3t +42 \n" ); document.write( "476 = -t^2 + 24t + 336 \n" ); document.write( "0 = -t^2 + 24t - 140 \n" ); document.write( "0 = t^2 - 24t + 140 \n" ); document.write( "0 = (t-14)(t-10) \n" ); document.write( "t = {10, 14} \n" ); document.write( ". \n" ); document.write( "1980+10 = 1990 \n" ); document.write( "and \n" ); document.write( "1980+14 = 1994 \n" ); document.write( ". \n" ); document.write( "Ans: 1990 and 1994\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |