
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 man invests a total of $5000, part of it at 5% and the remainder at 7%. However, the investment yielding 7% has a 10% tax on the interest earned. If both parts yield the same amount of post-tax income, calculate the average effective interest rate realized on the total investment.
A) 5.0%
B) 5.3%
C) 5.6%
D) 5.8%
E) None of these

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