Dayo plans to invest a certain amount of money in a savings account that pays interest at an annual rate of 8% compounded quarterly

题目

Dayo plans to invest a certain amount of money in a savings account that pays interest at an annual rate of 8% compounded quarterly. Approximately what amount is the minimum that Dayo will need to invest in order to earn more than $100 in total interest during the first two quarters after the investment is made?

选项

$1,500

$1,750

$2,000

$2,500

$3,000

解析

r = 利率 = 8%，按季度复利 = 每季度 2% t = 6 个月 = 2 个季度所以： A = P(1+0.02)^2 A = P *1.0404 将 P 分别替换为 1500、1700、2000 进行计算。利息 A-P 需要大于 100（因为利息 = 本息和 - 本金）。当 P=2500 时，利息为 101。因此，答案为 D。

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