
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 3.5%. To achieve a yearly income of $\textdollar{430}$, she must invest the remainder at:
A) 4.5%  
B) 4.6%  
C) 4.7%  
D) 4.8%  
E) 4.9%

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