Consider the following demand function for good $\text{'}x\text{'}$:

$Q=9-0\mathrm{.}1p_x-p_y+0\mathrm{.}01p_z+0\mathrm{.}001Y,$ where

Own price, $P_x=$$$30$

Quantity demanded $=34\mathrm{.}75$

Price of a related good, $P_y=$$$4$

Price of a related good, $P_Z=$$$275$

Consumer income, $Y=$$$30,000$

The income elasticity of demand, $,$ when equilibrium quantity is $34\mathrm{.}75$ units and income is $$30,000$ is equal to $($Enter a numeric response using a real number rounded to three decimal places.$)$