
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
Purchase a household appliance on an installment plan with a price of 1150 yuan. Pay 150 yuan on the purchase day, and then pay 50 yuan plus the interest on the remaining debt on the same day of each following month, with a monthly interest rate of 1%. If the first month of the installment plan starts after the initial payment of 150 yuan, how much should be paid in the tenth month of the installment plan? How much money has actually been spent after the entire loan is paid off?

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