
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
A woman has $\textdollar{12,000}$ to invest. She invests $\textdollar{5000}$ at 3% and $\textdollar{4000}$ at 5%. To achieve a yearly income of $\textdollar{600}$, at what rate must she invest the remainder?
**A)** 7.9% **B)** 8.1% **C)** 8.3% **D)** 8.5% **E)** 8.7%

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