贷款还款模型演示

几何画板及绘图内容加载中，请稍等……

2019-02-22 22:24

函数三角函数概率统计

①本范例演示了贷款还款过程中的利息计算与还款总额变化；②涉及核心数学概念包括利息计算、复利公式、三角函数应用；③构造要点使用了 LaTeX、VerticalText、PV、INSTRUCTIONS、QUESTION、R、r、i、numMonthsUnrounded、background、lblRate、Initialize、lblYaxis、TEXT、lblXaxis、lblR、futureValueOfPayments、futureValueOfPV、amountOwed、txtNumMonths 等GeoGebra命令和对象；④适合高中及以上数学学习者，用于理解金融数学中的复利计算和还款模型。

GeoGebra 命令及参数

LaTeX("\textbf{Instructions: }Use the sliders to change the value of the monthly payment and the value\\of the annual interest rate.") → INSTRUCTIONS
LaTeX("\textbf{Question: } Juliette borrowed $\$750$ at a rate of $9.4\%$ per year compounded monthly. Every\\month, she pays back $\$10$. The graph shows the outstanding balance of Juliette's loan at\\the end of each month. How does changing the amount of the monthly payment affect the\\time it takes Juliette to pay off her loan? How does changing the interest rate on the loan\\affect the time it takes to pay it off?") → QUESTION
LaTeX((("\text{Annual interest rate = " * r) * "%}")) → lblRate
VerticalText("Amount Owed in \$") → lblYaxis
LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
LaTeX("{\text{Time in Months}") → lblXaxis
LaTeX((("\text{Monthly payment = \$" * R) * "}")) → lblR
LaTeX((("\text{\fbox{Juliette's loan will be paid\\off in $" * ceil(numMonthsUnrounded)) * "$ months.}}")) → txtNumMonths

AI 绘图提示语参考

展示贷款还款模型，包含月还款额和年利率的滑动条，以及一个图表显示每月剩余贷款余额。图表的横轴为月份，纵轴为金额，并标注年利率和月还款额。图表下方有文字说明操作指南和问题，询问调整还款额和利率对还款时间的影响。

以上提示语为根据原始绘图命令整理而来，仅供参考。