
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 annually.

Bob has deposited $\$11,\!000$ into an account that pays $6\%$ simple annual interest.

In $15$ 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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