
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 a total of $$5000$ invested partly at $3\%$ and the rest at $5\%$. If the return on the investment at $5\%$ is twice that of the return at $3\%$, find the average rate of interest realized on the entire $5000.
A) $4.5\%$
B) $4\%$
C) $4.09\%$
D) $3.5\%$
E) None of these

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