Problema Solution
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately .6% per year. If this trend continues, in which year will 49% of babies be born out of wedlock?
Answer provided by our tutors
28% in 1990
1.006*0.28 in 1 year (1991)
(1.006^2)*0.28 in 2 years (1992)
........
(1.006^x)*0.28 in x years (1990+x)
We need to find 'x' such that:
(1.006^x)*0.28 = 0.49
1.006^x= 0.49/0.28
........
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........
x = 94 years approximately
1990 + 94 = 2084
In the year 2084, about 49% of babies will be born out of wedlock.