document.write( "Question 907386: An actor ivvests some money at 5%, and $4800 more than three times the amount at 8%. The total annual interest earned from the investment is $43860. How much did he invest at each amount?
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Algebra.Com's Answer #550330 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Total yearly interest for the two accounts is: $43860 \n" ); document.write( "x=3y+4800 \n" ); document.write( "0.05*x+0.08*y=43860 \n" ); document.write( "Substitute for x \n" ); document.write( "0.05*(3y+4800)+0.08*y=43860 \n" ); document.write( "Multiply out \n" ); document.write( "0.15y+240+0.08*y=43860 \n" ); document.write( "Combine like terms. \n" ); document.write( "0.15y+240+0.08*y=43860 \n" ); document.write( "0.15y+0.08*y=43860-240 \n" ); document.write( "0.23*y=43620 \n" ); document.write( "Isolate y \n" ); document.write( "0.23*y=43620 \n" ); document.write( "y=43620/0.23 \n" ); document.write( "y=$189652.174 at 8% \n" ); document.write( "rounded off \n" ); document.write( "y=$189652.17 at 8% \n" ); document.write( "x=3y+4800 \n" ); document.write( "x=3*189652.174+4800 \n" ); document.write( "x=568956.522+4800 \n" ); document.write( "x=$573756.522 at 5% \n" ); document.write( "rounded off \n" ); document.write( "x=$573756.52 at 5%\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |