Question 1134217
For simple interest:
{{{ I[1] = P[1]*r[1]*1 }}}
{{{ I[2]= P[2]*r[2]*1 }}}
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{{{ I[2] = 967.2 - I[1] }}}
{{{ P[2] = 2*P[1] + 186 }}}
{{{ r[1] = .14 }}}
{{{ r[2] = .1 }}}
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{{{ I[1] = P[1]*.14*1 }}}
(1) {{{ I[1] = .14*P[1] }}}
and
{{{ 967.2 - I[1] = ( 2*P[1] + 186 )*.1*1 }}}
{{{ 967.2 - I[1] = .2P[1] + 18.6 }}}
(2) {{{ -I[1] = .2P[1] - 948.6 }}}
Add (1) and (2)
{{{ 0 = .2P[1] + .14P[1] - 948.6 }}}
{{{ .34P[1] = 948.6 }}}
{{{ P[1] = 2790 }}}
and
(1) {{{ I[1] = .14*2790 }}}
(1) {{{ I[1] = 390.6 }}}
and
{{{ I[2] = 967.2 - I[1] }}}
{{{ I[2] = 967.2 - 390.6 }}}
{{{ I[2] = 576.6 }}}
and
{{{ P[2] = 2*P[1] + 186 }}}
{{{ P[2] = 2*2790 + 186 }}}
{{{ P[2] = 5766 }}}
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$2,790 invested @ 14%
$5,766 invested @ 10%
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check:
{{{ I[1] = P[1]*r[1]*1 }}}
{{{ 390.6 = 2790*.14 }}}
{{{ 390.6 = 390.6 }}}
OK
{{{ I[2]= P[2]*r[2]*1 }}}
{{{ 576.6 = 5766*.1 }}}
{{{ 576.6 = 576.6 }}}
OK