
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 \$30,000 at an annual interest rate of 3% compounded semi-annually for 3 years. Patricia invested \$30,000 at an annual interest rate of 2.5% compounded monthly for the same period. Calculate the difference in the amount earned by Patricia's investment compared to Jose's, to the nearest dollar.

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