
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
Compound interest is a method of calculating interest where the interest of the prior period is added to the principal to calculate the interest for the next period. An individual borrows 100,000 yuan from a bank, with an agreement to calculate the interest using a compound annual interest rate of 7%.
(1) Write the function relationship between the total amount y to be repaid (unit: ten thousand yuan) after x years and x (unit: years);
(2) Compute the total repayment amount after 5 years (accurate to the yuan);
(3) If the individual starts repaying the bank from the second year of the loan, paying x yuan each year, and repays the loan in full over 5 installments, find the amount of each installment x. (accurate to the yuan)
(Reference data: $1.07^3=1.2250$, $1.07^4=1.3108$, $1.07^5=1.402551$, $1.07^6=1.500730$)

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