
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
Maria invested $\$100,\!000$ for $3$ years at an annual interest rate of $5\%$ compounded yearly. Thomas invested $\$100,\!000$ for the same period of time, at the same interest rate, but the interest was compounded monthly. To the nearest dollar, how much more money did Thomas's investment earn than that of Maria?

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