
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
Jerry's original phone bill was $250. On the 20th day past its due date, a 2% late fee was added. Subsequently, the updated amount had an additional 3% late fee applied on the 40th day past due since the original due date. Calculate Jerry's total bill after these fees are applied.

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