Answer
8.5 years
Work Step by Step
Insert the given $A,\ P,$ and $r$ into the formula and solve for t.
$25,000=17,425e^{0.0425t}\qquad.../\div 17,425$
$\displaystyle \frac{25,000}{17,425}=e^{0.0425t}\qquad .../$apply ln() to both sides..
$\displaystyle \ln(\frac{25,000}{17,425})=0.0425t \qquad.../\div 0.0425$
$ t=\displaystyle \frac{\ln(\frac{25,000}{17,425})}{0.0425}\approx$8.49340866404$ \approx$8.5 years