Question 1096860
{{{ I[1] = P[1]*r[1]*t }}}
{{{ r[1] = .14 }}}
{{{ t = 1 }}}
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(1) {{{ I[1] = P[1]*.14 }}}
(2) {{{ I[2] = P[2]*.11 }}}
(3) {{{ P[2] = 2P[1] + 54 }}}
(4) {{{ I[1] + I[2] = 1384.38 }}}
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Plug (3) into (2)
(2) {{{ I[2] = ( 2P[1] + 54 )*.11 }}}
Plug (1) and (2) into (4)
(4) {{{ .14P[1] + .22P[1] + 5.94 = 1384.38 }}}
(4) {{{ .36P[1] = 1378.44 }}}
(4) {{{ P[1] = 3829 }}}
and
(3) {{{ P[2] = 2*3829 + 54 }}}
(3) {{{ P[2] = 7658 + 54 }}}
(3) {{{ P[2] = 7712 }}}
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(1) {{{ I[1] = .14*3829 }}}
(1) {{{ I[1] = 536.06 }}}
and
(2) {{{ I[2] = .11*7712 }}}
(2) {{{ I[2] = 848.32 }}}
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$3,829 invested @ 14%
$7,712 invested @11%
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check:
(4) {{{ I[1] + I[2] = 1384.38 }}}
(4) {{{ 536.06 + 848.32 = 1384.38 }}}
(4) {{{ 1384.38 = 1384.38 }}}
OK