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*1.006^(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)=(64)/(28)=2.2857`

`n\ log\ 1.006=log\ 2.2857`

`n=(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.