
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 a total of $7500 invested, part at 5% and the remainder at 7%. If her annual returns from both investments are equal, what average rate of interest does she realize on her total investment?
A) 5.2%
B) 5.8%
C) 6.2%
D) 5%
E) 4.8%

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