document.write( "Question 1015670: Cadence has $12,000 to invest. She can invest in bonds that pay 10% interest and
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document.write( "CDs that pay 6% interest. She wishes to invest some both ways. How much does she invest in each if she earns $1070 interest in one year? Need equation please. \n" );
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Algebra.Com's Answer #632024 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Some in bonds at 0.10 \n" ); document.write( "Some in CDs at 0.06 \n" ); document.write( "Total 12,000 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Let's call the investment in bonds x \n" ); document.write( "What's left of the 12,000 she will invest in CDs. \n" ); document.write( "So: \n" ); document.write( "bonds = x \n" ); document.write( "CDs = 12,000-x \n" ); document.write( "Good so far? OK, let's do this: \n" ); document.write( "0.10x+0.06(12,000-x) = 1,070 \n" ); document.write( "I will rearrange the terms to make it more intuitive: \n" ); document.write( "0.10x-0.06+720 = 1,070 Subtract x on left and subtract 720 on both sides: \n" ); document.write( "0.04x = 350 Divide both sides by 0.04 \n" ); document.write( "x = 8,750 is how much she invested in bonds. And: \n" ); document.write( "12,000-8,750 = 3,250 in CDs \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Check: \n" ); document.write( "8,750*0.10 = 875 \n" ); document.write( "3,250*0.06 = 195 \n" ); document.write( "___________------- \n" ); document.write( "Total... = 1,070 We have the correct answer \n" ); document.write( " |