document.write( "Question 1145102: You invested a total of $6,000 at 4 1/2 % and 5% simple interest. During one year, the two accounts earned $290. How much did you invest in each account? \n" ); document.write( "

Algebra.Com's Answer #766293 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "If

was invested in two accounts,

and

and the total interest earned at the end of one year is

, then we know two things:\r
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\r
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\n" ); document.write( "\n" ); document.write( "and\r
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\r
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\n" ); document.write( "\n" ); document.write( "But from [1] we can deduce:\r
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\r
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\n" ); document.write( "\n" ); document.write( "Then substituting into [2] we have:\r
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\r
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\n" ); document.write( "\n" ); document.write( "Since you are given

and

, you now have a single equation in a single variable, namely:\r
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\r
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\n" ); document.write( "\n" ); document.write( "Solve for

and then calculate

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\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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