Question 1089741
(1) {{{ I[1] = P[1]*r[1]*t }}}
(2) {{{ I[2] = P[2]*r[2]*t }}}
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{{{ I[2] = 1100 - I[1] }}}
{{{ r[1] = .04 }}}
{{{ r[2] = .06 }}}
{{{ P[2] = 3P[1] }}}
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(1) {{{ I[1] = P[1]*.04*1 }}}
(2) {{{ 1100 - I[1] = 3*P[1]*.06*1 }}}
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(1) {{{ I[1] = .04P[1] }}}
(2) {{{ 1100 - I[1] = .18P[1] }}}
Plug (1) into (2)
(2) {{{ 1100 - .04P[1] = .18P[1] }}}
(2) {{{ .22P[1] = 1100 }}}
(2) {{{ P[1] = 5000 }}}
and
{{{ P[2] = 3P[1] }}}
{{{ P[2] = 15000 }}}
$5,000 invested @ 4%
$15,000 invested @ 6%
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check:
(1) {{{ I[1] = .04P[1] }}}
(1) {{{ I[1] = .04*5000 }}}
(1) {{{ I[1] = 200 }}}
and
(2) {{{ 1100 - I[1] = .18P[1] }}}
(2) {{{ 1100 - I[1] = .18*5000 }}}
(2) {{{ 1100 - I[1] = 900 }}}
{{{ P[1] + P[2] = 200 + 900 }}}
{{{ P[1] + P[2] = 1100 }}}
OK