
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
At a job fair, companies A and B each offered their salary standards: Company A promises a monthly salary of 1500 yuan for the first year, with an increase of 230 yuan each month thereafter; Company B promises a starting monthly salary of 2000 yuan, with a 5% increase each month based on the previous year's salary. Assuming someone is hired by both companies A and B at the beginning of the year, the questions are:  
(1) If this person plans to work continuously at company A or B for $n$ years, what would be their monthly salary in the $n$th year at each company?  
(2) If this person plans to work continuously at one company for 10 years, based solely on salary income, which company would be more advantageous for this person to work at?

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