Question 1155825


if Phyllis  invested ${{{44000}}} so that {{{x}}} dollars earning a simple interest rate of {{{5}}} percent, and {{{y}}} dollars earning a simple interest rate of {{{6}}} percent, we have


{{{x+y=44000}}}

{{{x=44000-y}}}.....eq.1


if after one year the total interest earned on these investments was ${{{2430}}}, we have


{{{0.05x+0.06y=2430}}}......eq.2...substitute {{{x}}} from eq.1

{{{0.05(44000-y)+0.06y=2430}}}......solve for {{{y}}}

{{{2200-0.05y+0.06y=2430}}}

{{{0.01y=2430-2200}}}

{{{0.01y=230}}}

{{{y=230/0.01}}}

{{{y=23000}}}

go to

{{{x=44000-y}}}.....eq.1, substitute {{{y}}}

{{{x=44000-23000}}}

{{{x=21000}}}


so, Phyllis  invested ${{{21000}}} dollars earning a simple interest rate of {{{5}}} percent, and ${{{23000}}} dollars earning a simple interest rate of {{{6}}} percent