We need to make an equation to solve how much money she would have in x years.
[tex]62,410*1.069^{x} =y[/tex]
We need to find X when y is 100,000.
62,410×1.069^x=100,000
We should divide both sides by 62,410.
1.069^x=1.60230732
With this, I would find what 1.069² is to find if it's close.
1.069²=1.142761
Now, it to the 10th.
1.069^10=1.949
1.069^5=1.396
1.069^8=1.70538
1.069^7=1.595
The fewest number of years it would take Sarah to reach her goal is 7.06563254.
62,410×1.069^7.06563254=99,999.9998707
