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The annual interest rate is 0.35, and the monthly interest is 4,000 yuan. How much is the loan altogether?
This problem can be solved by adding the loan principal to the monthly repayment amount.

Assuming that the loan principal is P yuan and the monthly repayment amount is X yuan, then:

The annual interest rate of the loan is 0.35 and the monthly interest rate is 0.35/12 = 0.0292;

If the loan term is n months, the monthly interest payable is p × 0.0292; ;

If the monthly repayment amount is X yuan, the remaining loan principal after monthly repayment is P-X+P× 0.0292;

According to the meaning of the question, the monthly repayment amount is 4 thousand yuan, that is, x = 4 thousand yuan;

Therefore, after monthly repayment, the remaining loan principal is P-4000+P× 0.0292;

Finally, according to the principle that the sum of the loan principal plus the monthly repayment is equal to the loan principal, the following equation can be listed and solved: P+n × 4000 = P+n × P × 0.0292.

By modifying the above equation, we can get:

P = n × 4000/( 1 + 0.0292 × n)

According to the meaning of the question, the total repayment amount is: monthly repayment amount × repayment months = 4000 yuan × n.

After P is brought in, you can get:

4000×n = n×4000/( 1+0.0292×n)×n

Simplify to get:

1+0.0292×n = 1/( 1-n/(4000×n))

Finally, it is calculated that n is about 145 months, that is, 12 years and 1 month. So the total loan amount is about: 145 months × 4,000 yuan/month = 580,000 yuan.