
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The state income tax where Lucas lives is levied at the rate of $q\%$ of the first $\textdollar 30000$ of annual income plus $(q + 3)\%$ of any amount above $\textdollar 30000$. Lucas noticed that the state income tax he paid amounted to $(q + 0.5)\%$ of his annual income. What was his annual income?
A) $\textdollar 30000$
B) $\textdollar 33000$
C) $\textdollar 36000$
D) $\textdollar 40000$
E) $\textdollar 43000$

Present the answer in LaTex format: \boxed{Your answer}
user