document.write( "Question 1036937: Paul has $80,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 6% interest and part at 18% interest. How much does Paul need to invest in each option to make a total 15% return on his $80,000? \r
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document.write( "6% interest $ \r
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document.write( "18% interest $
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Algebra.Com's Answer #651630 by stanbon(75887) ![]() You can put this solution on YOUR website! Paul has $80,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 6% interest and part at 18% interest. How much does Paul need to invest in each option to make a total 15% return on his $80,000? \n" ); document.write( "Quantity:: s + e = 80,000 \n" ); document.write( "Interest:: 0.06s + 0.18e = 0.15*80,000 \n" ); document.write( "------------------------------------- \n" ); document.write( "Modify for elimination: \n" ); document.write( "6s + 6e = 6*80,000 \n" ); document.write( "6s + 18e = 15*80,000 \n" ); document.write( "-------------------------- \n" ); document.write( "Subtract and solve for \"e\": \n" ); document.write( "12e = 9*80,000 \n" ); document.write( "e = (3/4)(80,000) \n" ); document.write( "e = $60,000 (amt. to invest at 18%) \n" ); document.write( "--------------- \n" ); document.write( "Solve for \"s\" \n" ); document.write( "s = 80,000 - e = 80,000-60,000 = $20,000 (amt. to invest at 6%) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |