Question 1141073
Let {{{ P }}} = Amt invested @ {{{ 4.5 }}}%
{{{ 13500 - P }}} = Amt invested @ {{{ 4 }}}%
Let {{{ I }}} = interest earned @ {{{ 4.5 }}}%
{{{ 585 - I }}} = interest earned @ {{{ 4 }}}%
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{{{ I = P*r*t }}}
(1) {{{ I = P*.045*1 }}}
(2) {{{ 585 - I = ( 13500 - P )*.04*1 }}}
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(2) {{{ 585 - .045P = 540 - .04P }}}
(2) {{{ .005P = 45 }}}
(2) {{{ P = 9000 }}}
and
{{{ 13500 - P = 13500 - 9000 }}}
{{{ 13500 - P = 4500 }}}
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$9,000 @ 4.5%
$4,500 @ 4%
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check:
{{{ I = .045*9000 }}}
{{{ I = 405 }}}
and
{{{ 585 - I = 585 - 405 }}}
{{{ 585 - I = 180 }}}
{{{ 180 - 4500*.04 }}}
{{{ 180 = 180 }}}
OK