document.write( "Question 1191206: Shen is putting money into a savings account. He starts with 650 in the savings account, and each week he adds $30.
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document.write( "Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Shen has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks. \n" );
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Algebra.Com's Answer #823005 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "W = number of weeks \n" ); document.write( "S = total amount of money in the savings account (in dollars)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Shen starts off with $650. \n" ); document.write( "After 1 week, he adds on $30 \n" ); document.write( "The balance would be 650+30 which I'll leave unsimplified.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After 2 weeks, he adds on another 30, so, \n" ); document.write( "balance = (650+30)+30 = 650+(30+30) = 650+2*30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then after 3 weeks, his balance is... \n" ); document.write( "balance = (650+2*30)+30 = 650+(2*30+30) = 650+3*30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At this point you can probably spot the pattern \n" ); document.write( "balance = 650+(number of weeks)*30 \n" ); document.write( "which simplifies to \n" ); document.write( "S = 650+W*30 \n" ); document.write( "S = 30W+650\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug in W = 11 to find how much is in the account after 11 weeks. \n" ); document.write( "S = 30W+650 \n" ); document.write( "S = 30*11+650 \n" ); document.write( "S = 330+650 \n" ); document.write( "S = 980\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answers: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation is S = 30W+650 \n" ); document.write( "After 11 weeks, Shen has $980 in the account. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |