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Mathematics 17 Online
OpenStudy (vshiroky):

..

OpenStudy (vshiroky):

OpenStudy (anonymous):

if you call the amount of the account invested at \(6\%\) \(x\) then since the total is \(\$24,000\) the amount invested at \(11\%\) must be \[24,000-x\] the total will be \[.06x+.11(24,000-x)\] which you know is equal to \(\$1940\) set \[.06x+.11(24,000-x)=1940\] and solve for \(x\)

OpenStudy (anonymous):

probably easiest to multiply both sides by \(100\) to get rid of annoying decimals and solve \[6x+11(24,000-x)=194,000\]

OpenStudy (vshiroky):

What happens with the negative x? I got 6x+264000=194000

OpenStudy (vshiroky):

Is that right?

OpenStudy (vshiroky):

@satellite73

OpenStudy (anonymous):

hold on let me check should not be negative

OpenStudy (anonymous):

\[6x+11(24,000-x)=194,000\] \[6x+264,000-11x=194,000\] \[-5x+264,000=194,000\]

OpenStudy (anonymous):

think you might have forgotten to distribute the \(11\) properly

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