Question 1020884
Let {{{ x }}} = the amount invested @ 9%
{{{ 13000 - x }}} = the amount invested @ 9.2%
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{{{ .09x }}} = interest earned per year @ 9%
{{{ .092*( 13000 - x ) }}} = interest earned per year @ 9.2%
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{{{ .09x + .092*( 13000 - x ) = 1186 }}}
{{{ .09x + 1196 - .092x = 1186 }}}
{{{ .002x = 1196 - 1186 }}}
{{{ .002x = 10 }}}
{{{ x = 5000 }}}
and
{{{ 13000 - x = 13000 - 5000 }}}
{{{ 13000 - x = 8000 }}}
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$5,000 = the amount invested @ 9%
$8,000 = the amount invested @ 9.2%
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check:
{{{ .09x + .092*( 13000 - x ) = 1186 }}}
{{{ .09*5000 + .092*8000 = 1186 }}}
{{{ 450 + 736 = 1186 }}}
{{{ 1186 = 1186 }}}
OK