
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
Jose invested $\$70,\!000$ for $3$ years at an annual interest rate of $5$ percent compounded yearly. Amanda invested $\$70,\!000$ for the same period of time, at the same interest rate, but the interest was compounded monthly. Calculate how much more money did Amanda's investment earn than that of Jose?

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