
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
In Matthew's state, the State income tax is calculated as follows: $q\%$ of the first $\textdollar 50000$ of the annual income plus $(q + 3)\%$ of any income exceeding $\textdollar 50000$. If Matthew notices that the total tax he paid amounts to $(q + 0.5)\%$ of his total annual income, what is his annual income?
**A)** $\textdollar 50000$
**B)** $\textdollar 55000$
**C)** $\textdollar 60000$
**D)** $\textdollar 65000$
**E)** $\textdollar 70000$

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