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
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![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](/uploads/image/z/1742701-13-1.jpg?t=200%E5%88%86%E6%B1%82%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%2CWhat+lump+sum+of+money+should+be+deposited+in+a+money+market+certi%5Cx0ccate+paying+8.25%25interest+compounded+monthly+to+amount+to+%245000+in+10+years%3FRound+your+answer+to+thenearest+dollar.A.%242514+B.%244669+C.%242740+D.%242262+E.%242197)
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)