
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 Liam lives is levied at the rate of $q\%$ of the first $\textdollar 30000$ of annual income plus $(q + 3)\%$ of any amount above $\textdollar 30000$. Liam paid a total of $\textdollar 4500$ in state income tax. If Liam's total tax was equivalent to $(q + 0.5)\%$ of his annual income, what was his annual income?
**A)** $\textdollar 35000$
**B)** $\textdollar 36000$
**C)** $\textdollar 37000$
**D)** $\textdollar 38000$
**E)** $\textdollar 39000$

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