
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
A company plans to invest 1 million yuan, with two possible profit-making options to choose from: one is an annual interest rate of 10%, calculated using simple interest, and the principal and interest are recovered after 5 years; the other is an annual interest rate of 9%, calculated using compound interest annually, and the principal and interest are recovered after 5 years. Which investment is more profitable? How much more interest can be earned from the more profitable investment compared to the other after 5 years? (A calculator may be used for calculations)  
Note: Simple interest calculates interest only on the principal every year, i.e., for an investment of 1 million yuan, the interest is calculated at a rate of 10% on 1 million yuan every year;  
Compound interest means that for an investment of 1 million yuan, the principal and interest are added together to calculate the interest for the next year, i.e., the total amount of principal and interest grows by 9% every year.

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