
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 $\$12,\!000$ into an account that pays $5\%$ interest compounded annually.

Bob has deposited $\$15,\!000$ into an account that pays $4\%$ simple annual interest.

After 20 years, Angela checks her balance. Bob, who has been depositing for only 20 years, also checks his balance, though Angela intends to let her investment grow for another 5 years before finally comparing with Bob. To the nearest dollar, what is the positive difference between their balances at 25 years for Angela and 20 years for Bob?

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