周恩来的事迹50字:我是一个留学生!有一道题想请教英语好的并且理科好的同学!

来源:百度文库 编辑:高校问答 时间:2024/04/24 21:48:45
24.A merchant buys $3000 worth of goods from a supplier. She pays a certain amount down and agrees to pay $1000 in 6 months, and another $1000 after a further 6 months. The supplier charges 9.5% interest compounded semi-annually. Determine the down payment.
答案是1133.98
我都郁闷了不会做啊!
希望会做的帮个忙不会做的别来骂人啊!

Suppose you pay $X up front. 6 months interest is 4.75%

6 months later, your balance:
(3000 - X) * 1.0475

Pay 1000, and after another 6 months, your balance is 1000, so:

((3000 - X) * 1.0475 - 1000) * 1.0475 = 1000

=> X = (3000 - 1000/1.0475 - 1000/1.0475^2) = 1133.98

我觉得预付金应该是:1000乘以(1+0.095)的六次方+1000乘以(1+0.095)的12次方,再减去2000。
我没有计算器,所以无法验证。