Answer :
Given data:
The initial height of the tree is h= 3 feet.
The rate at which tree height is increases per year r=25%.
The given time is t=5 years.
The expression for the final height of the tree after t year is,
[tex]H=h(1+\frac{r}{100})^t[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} H=3(1+\frac{25}{100})^5 \\ =3(1.25)^5 \\ =9.155\text{ ft} \end{gathered}[/tex]Thus, the final height of the tree after 5 year is 9.155 ft.