document.write( "Question 169932: This problem is for a project we were given:
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document.write( " Jeremy inherits $200,000 and invests part of the money in bonds with an interest rate of 8%. The remainder of the money is in savings at a 5% rate. What AMOUNT has he invested at EACH RATE if he recieves $14,800 interest for 1 year.?
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document.write( "So far I have the following:
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document.write( "let x= dollars invested at 8%
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document.write( "$200,000-x = dollars invested at 5%.
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document.write( "Equation as .08x+ .05(200,000-x)=$14,800
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document.write( "I know you have to clear the decimal and go from there, but when I tried to solve it I got some funky number.
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document.write( "thank you for your help!
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Algebra.Com's Answer #125376 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Well, there's certainly nothing wrong with your initial equation! \n" ); document.write( "0.08x + 0.05($200,000-x) = $14,800 Perform the indicated multiplication \n" ); document.write( "0.08x+$10,000-0.05x = $14,800 Combine like-terms. \n" ); document.write( "0.03x+$10,000 = $14,800 Subtract $10,000 from both sides. \n" ); document.write( "0.03x = $4,800 Divide both sides by 0.03 \n" ); document.write( "x = $160,000 and... \n" ); document.write( "$200,000-x = $200,000-$160,000 = $40,000 \n" ); document.write( "So $160,000 was invested at 8% while $40,000 was invested at 5% \n" ); document.write( " |