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
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。