
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
Michael has 1500 dollars to invest. He invests part of it at the Thrifty Savings, which compounds annually at 4 percent, and the rest at the Rich Returns Bank, which compounds annually at 6 percent. After three years, Michael has a total of $\$1738.84$. How much did Michael originally invest at the Thrifty Savings?

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