题目

Sam invests a principal of $10,000, which earns interest over a period of years.

Quantity A

The final value of the investment after 2 years at 8% interest, compounded annually

Quantity B

The final value of the investment after 4 years at 4% interest, compounded annually

选项

A.

Quantity A is greater.


B.

Quantity B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.


解析

本息和公式: 本息和 = P (1 + r/100n)^t A列:r=8, t=2 = 10000 (1+8/100)^2 = 108 * 108 = 108^2 B列:r=4, t=4 = 10000(1 + 4/100)^4 = (104/10)^4 = 10.4^4 = 108.16^2 可以看出:A < B 因此,答案为选项B。
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