數學利息的問題

2009-10-03 5:59 pm
1.碧塋將$1600存入銀行,半年計程算複利息一次,存款1年後可得利息$81
(a)問年利率是多少?
(b)若將本利和以相同的年利率再存入銀行,問第2年年尾她將得到多少利息?

回答 (1)

2009-10-03 9:19 pm
✔ 最佳答案
P = 1600, I = 81, so Amount = 1600 + 81 = 1681.
Using formula, A = P(1 + r)^n with n = 2, we get
1681 = 1600 ( 1 + r/2)^2
sqrt (1681/1600) = 1 + r/2
1.025 = 1 + r/2
r/2 = 0.025
r = 0.05 = 5%.
b)
P = 1681, r= 2.5%, n = 2
so A = 1681(1 + 2.5%)^2 = 1681(1.025)^2 = 1766.10
so interest = A - P = 1766.10 - 1681 = 85.10




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