document.write( "Question 293598: I need help with this word problem please. \"An actor invests some money at 5% and $27000 more than four times the amount at 11%. The total annual interest earned from the investment is $36780. How much did he invest at each amount?\" Thank you for anything you can do. \n" ); document.write( "
Algebra.Com's Answer #211913 by nerdybill(7384)\"\" \"About 
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An actor invests some money at 5% and $27000 more than four times the amount at 11%. The total annual interest earned from the investment is $36780. How much did he invest at each amount?
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\n" ); document.write( "Let x = amount invested at 5%
\n" ); document.write( "then
\n" ); document.write( "4x+27000 = amount invested at 11%
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\n" ); document.write( ".05x + .11(4x+27000) = 36780
\n" ); document.write( ".05x + .44x + 2970 = 36780
\n" ); document.write( ".49x + 2970 = 36780
\n" ); document.write( ".49x = 33810
\n" ); document.write( "x = $69,000 (amount invested at 5%)
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\n" ); document.write( "amount invested at 11%:
\n" ); document.write( "4x+27000 = 4(69000)+27000 = $303,000 \n" ); document.write( "
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