Answer:
The percent depreciation for the house is;
[tex]10\text{\%}[/tex]Explanation:
Given that a house was purchased in 2005 for $150,000 and It is now valued at $135,000.
The percentage depreciation would be;
[tex]r=\frac{\text{ initial value -final value}}{\text{ initial value}}\times100\text{\%}[/tex]Given;
[tex]\begin{gathered} \text{Initial value = \$}150,000 \\ \text{final value = \$}135,000. \end{gathered}[/tex]Substituting;
[tex]\begin{gathered} r=\frac{150000-135000}{150000}\times100\text{\%} \\ r=0.1\times100\text{\%} \\ r=10\text{\%} \end{gathered}[/tex]Therefore, the percent depreciation for the house is;
[tex]10\text{\%}[/tex]