
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
Angela has deposited $\$9,\!000$ into an account that pays $5\%$ interest compounded semi-annually.

Bob has deposited $\$12,\!000$ into an account that pays $6\%$ simple annual interest.

After 25 years, Angela and Bob compare their respective balances. To the nearest dollar, what is the positive difference between their balances?

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