Question 506112
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Express all dollar values in thousands -- gets rid of a bunch of pesky zeros.


Let *[tex \Large x] represent the number of years on the job.


Salary #1 *[tex \Large S_1(x)].  $36K plus $2K per year.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ S_1(x)\ =\ 2x\ +\ 36]


Salary #2 *[tex \Large S_2(x)].  $28K plus $3K per year.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ S_2(x)\ =\ 3x\ +\ 28]


They will be making the same salary when *[tex \Large S_2(x)\ =\ S_1(x)]


So:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3x\ +\ 28\ =\ 2x\ +\ 36]


Solve for *[tex \Large x]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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