document.write( "Question 1162273: Juanita invested $13,000 for one year, part at 9 percent annual interest and the rest at 7 percent annual interest. How much must she invest at 9 percent to get $1,000 in interest in a year?\r
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document.write( "Jonathon invested $8,400, part at 12 percent annual interest and the remainder at 8 percent annual interest. In one year, he earned three times as much interest from the 12 percent investment as he did from the 8 percent investment. How much interest did Jonathon earn at 8 percent interest?
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Algebra.Com's Answer #786041 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the amount invested at 9%.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the amount invested at 7% is the rest (13000-x) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "An equation for the total interest is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.09x + 0.07*(13000-x) = 1000 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a typical and standard problem on investment.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on investment, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as \n" ); document.write( "different methods of solution to the equations (Substitution, Elimination).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |