Question 1108965
This is a simple interest problem
Use {{{ I = P*r*t }}}
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(1) {{{ I + 617 = 19000*( r + .003 )*1 }}}
(2) {{{ I  = 5000*r*1 }}}
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Plug (2) into (1)
(1) {{{ 5000r + 617 = 19000r + 57 }}}
(1) {{{ 14000r = 560 }}}
(1) {{{ r = .04 }}}
and
{{{ r + .003 = .043 }}}
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The rate for $19,000 investment is 4.3%
The rate for $5,000 investment is 4%
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check:
(1) {{{ I + 617 = 19000*.043 }}}
(1) {{{ I = 817 - 617 }}}
(1) {{{ I = 200 }}}
and
(2) {{{ I = 5000*.04 }}}
(2) {{{ I = 200 }}}
OK