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2000年西安市中考出了一道很好的应用题.后来,这道题被很多杂志竞相刊载,成为近两年来很有影响的一道题.本人就此问题作些深入探究. 题目: 某居民小区按照分期付款的形式福利售房,政府给予一定的贴息.小明家购得一套现价为120000元的房子,购房时首期(第一年)付款30000元。从第二年起,以后每年付房款5000元与上年剩余欠款利息的和,设剩余欠款年利率为0.4%. (1)若设第x(x≥2)年小明家交付房款y(元),求年付款y(元)与x(年)的函数关系式. (2)将第三年,第十年应付房款填入下列表格中:
In 2000, the Xi’an Middle School passed a very good application. Later, this topic was published by many magazines and became a very influential topic in the past two years. I made some in-depth research on this issue. Topic: A residential area in accordance with In the form of instalment payments, the government provides certain discounts. Xiaoming’s home purchases a house with a current price of 120,000 yuan and pays 30,000 yuan for the first period (first year) when purchasing a home. From the second year onwards, after the annual payment of 5,000 yuan in housing funds and the balance of interest on the remaining balance of the previous year, the annual interest rate for the remaining amount of arrears shall be set at 0.4%. (1) If x(x≥2) year is set, Xiaomingjia will deliver the house. Section y (Yuan), annual payment y (Yuan) and x (year) as a function of the relationship. (2) The third year, the tenth payment due to fill in the following table: