
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 invests part of $5000 in a bond at $3\%$ annual interest and the remainder in a stock at $7\%$ annual interest. If the annual income from each investment is the same, compute the average rate of interest realized on the total $5000.
A) 3.8%
B) 4.0%
C) 4.2%
D) 4.4%
E) None of these

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