Question

A tree increases annually by ${\frac{1}{8}}^{th}$ of its height. By how much will it increase after $\frac{5}{2}$ years, if it stands today 10 ft. today?

• A. 3 ft
• B. 5.77 ft
• C. 4.5 ft
• D. 3.77 ft
• E. 2.23 ft

Answer 1

The correct option is D

3.77 ft

$Heightafter\frac{5}{2}years=10{(1+\frac{1}{8})}^2(1+\frac{1}{16})$

= 13.447

Increase = 3.447 ft