document.write( "Question 893522: An actor invests some money at 7%, and $41000and more than four times the amount of 10%. The total annual interest earned from the investment is $44990. How much did he invest at each amount? Use the six step method. \r
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document.write( "He invested ? at 7%
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document.write( "He invested ? at 10% \n" );
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Algebra.Com's Answer #546469 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Total yearly interest for the two accounts is: $44990 \n" ); document.write( "x=4y+41000 \n" ); document.write( "0.07*x+0.1*y=44990 \n" ); document.write( "Substitute for x \n" ); document.write( "0.07*(4y+41000)+0.1*y=44990 \n" ); document.write( "Multiply out \n" ); document.write( "0.28y+2870+0.1*y=44990 \n" ); document.write( "Combine like terms. \n" ); document.write( "0.28y+2870+0.1*y=44990 \n" ); document.write( "0.28y+0.1*y=44990-2870 \n" ); document.write( "0.38*y=42120 \n" ); document.write( "Isolate y \n" ); document.write( "0.38*y=42120 \n" ); document.write( "y=42120/0.38 \n" ); document.write( "y=$110842.105 at 10% \n" ); document.write( "rounded off \n" ); document.write( "y=$110842.11 at 10% \n" ); document.write( "x=4y+41000 \n" ); document.write( "x=4*110842.105+41000 \n" ); document.write( "x=443368.421+41000 \n" ); document.write( "x=$484368.421 at 7% \n" ); document.write( "rounded off \n" ); document.write( "x=$484368.42 at 7% \n" ); document.write( " \n" ); document.write( " |