
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
Alice invested $30,000 for 3 years at an annual interest rate of 5 percent compounded yearly. Bob invested $30,000 for the same period, at the same interest rate, but the interest was compounded monthly. What is the difference in the final amounts earned by Alice and Bob's investments?

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