Question

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 1990's this increased by approximately 0.6% per year. If this trend counties in which year will 64% of babies be born out of wedlock

Answer 1

The following equation can be used to find the number of years for the percentage to increase from 28% to 64%.
$28\times1.006^{n}=64$
where n is the above-mentioned number of years.
Solving the equation for n can be done in the following steps:
$1.006^{n}=\frac{64}{28}=2.2857$
$n\ log\ 1.006=log\ 2.2857$
$n=\frac{log\ 2.2857}{log\ 1.006}=138.19\ years$
Therefore the year in which 64% of babies will be born out of wedlock will be approximately 1990 + 138 = 2128.