
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 $6000$ invested, part at $5\%$ and the remainder at $7\%$. If her annual return from both parts is the same, what is the average rate of interest she realizes on her total investment?
A) 5.0%
B) 5.5%
C) 5.833%
D) 6.0%
E) 6.2%

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