document.write( "Question 493168: You inherit $13,000 and you decide to invest the money in two different investments: one paying 10% and the other paying 14%. A year later your investments are worth $14,580. How much did you originally invest in each account? \n" ); document.write( "
Algebra.Com's Answer #335306 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! You inherit $13,000 and you decide to invest the money in two different investments: one paying 10% and the other paying 14%. A year later your investments are worth $14,580. How much did you originally invest in each account? \n" ); document.write( "--------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity: x + y = 13000 \n" ); document.write( "Interest:0.10x + 0.14y = 1580 \n" ); document.write( "------------------------------------ \n" ); document.write( "Multiply thru the Quantity Equation by 10 \n" ); document.write( "Multiply thru the Interest Equation by 100 \n" ); document.write( "-------- \n" ); document.write( "10x + 10y = 130000 \n" ); document.write( "10x + 14y = 158000 \n" ); document.write( "---------------------------- \n" ); document.write( "Subtract and solve for \"y\": \n" ); document.write( "4y = 28000 \n" ); document.write( "y = $7,000.00 (amt invested at 14%) \n" ); document.write( "--- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x = 13000-7000 = $6,000.00 (amt. invested at 10%) \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |