
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 person has $5000$ invested, part at $5\%$ and the remainder at $3\%$. If the annual returns from both investments are the same, what is the average rate of interest the person realizes on the $5000$?
**A)** 3.5%  
**B)** 3.6%  
**C)** 3.75%  
**D)** 3.9%  
**E)** None of these

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