200分求一道数学题,What lump sum of money should be deposited in a money market certi\x0ccate paying 8.25%interest compounded monthly to amount to $5000 in 10 years?Round your answer to thenearest dollar.A.$2514 B.$4669 C.$2740 D.$2262 E.$2197

200分求一道数学题,What lump sum of money should be deposited in a money market certi\x0ccate paying 8.25%interest compounded monthly to amount to $5000 in 10 years?Round your answer to thenearest dollar.A.$2514 B.$4669 C.$2740 D.$2262 E.$2197
200分求一道数学题,
What lump sum of money should be deposited in a money market certi\x0ccate paying 8.25%
interest compounded monthly to amount to $5000 in 10 years?Round your answer to the
nearest dollar.
A.$2514 B.$4669 C.$2740 D.$2262 E.$2197 答案为什么是E呢

200分求一道数学题,What lump sum of money should be deposited in a money market certi\x0ccate paying 8.25%interest compounded monthly to amount to $5000 in 10 years?Round your answer to thenearest dollar.A.$2514 B.$4669 C.$2740 D.$2262 E.$2197
compounded monthly：按月计算复利,所以这里应该是复利,总共有12*10=120月.
复利公式推导过程：
设原来为P,利率为r,存期为n.
1月后,本利和为P+Pr=P(1+r);
2月后,本利和为P(1+r)+P(1+r)r=P(1+r)(1=r)=P(1+r)^2;
3月后,本利和为P(1+r)^2+P(1+r)^2*r=P(1+r)^2(1+r)=P(1+r)^3;
.
n月后,本利和为P(1+r)^n
所以,这里可以建立方程：P * (1 + r)^121 = 5000,r为月利率,r = 8.25% / 12 = 0.006875,
代入计算得到 P = 2197.37$.

利滚利

5000÷(1+8.25%)^10=2262

D吧，怎么会是E呢。
X x （1+8.25%）^10=5000.解得X=2263.

我不懂英语，请先翻译成汉语，谢谢

意味：多少钱存放在货币市场的认证美食支付8.25%复利每月达5000美元的10年？
5000÷(1+8.25%)^10=2262 这题应该是选D吧？怎么会是E呢？

因为它是月度复利。5000/(1+0.0825/12)^120=2197...

一次性多少钱应该被保存在货币市场certicate支付8.25%
利益而达5000美元每月10年呢?围绕你的回答
最近的美元。
我给你翻译，你自己算吧

B，X*（1+8.25%）*120=5000*120

题意：月复利， 存10年存多少钱到$5000？ 年利率8.25%
设：存款为 $ x
x(1+8.25%/12)^120=5000 x=2197.4 取整为2197，选E ($2197)