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On the basis of data from 1990 to 2006, the median income y in the year x for men and women is approximated by the equations given below, where x=0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same?

Men: -236x + 2y = 56,939
Women: -838x + 3y = 41,655

The median income of men and women will be the same in the year:

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sqdancefan

Answer:

  2080

Step-by-step explanation:

The solution to these equations might best be found using Cramer's Rule. It tells you ...

  x = (56939×3 -41655×2)/(-236×3 +838×2) = 87507/968 ≈ 90.400

This is years after 1990, so the year the incomes become the same is predicted to be ...

  1990 +90.4 = 2080.4

The median incomes will be the same in the year 2080.

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