
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
Diana invested $100,000 for 3 years at an annual interest rate of 5 percent compounded annually. Emily invested $100,000 for the same period but at the same interest rate compounded monthly. How much more money did Emily's investment earn compared to Diana's, rounded to the nearest dollar?

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