中一百分法數學兩題!!!急!

2008-11-02 10:31 pm
1.投資 $20000,年利率為 2.4%,按單利息計算。要經多久本利和會是 $22160?

2小穎把 $7000以某年利率存入銀行,按單利息計算,在10個月後可 得 本利和 $7350。該年利率是多少?
更新1:

不要太複雜!

回答 (2)

2008-11-03 12:12 am
✔ 最佳答案
1.
Let T be the time.

20000+20000x2.4%T=22160

20000x2.4%T=2160

2.4%T=2160/20000

T=4.5

After 4.5 years, the amount will be $22160.

2.
Let R% be the rate.

7,000x(1+(10/12)xR%) = 7,350

1+(10/12)xR% = 1.05

R = 0.05x12/10

R = 0.06

R= 6%

The rate is 6%.

Hope I can help you.
參考: my maths knowledge
2008-11-02 11:02 pm
1. 20,000 * (1+n*2.4%) = 22,160
1+0.024n = 1.108
n = 0.108/0.024 = 4.5(年)

2. 7,000 * (1+(10/12)* i ) = 7,350
1+(10/12)* i = 1.05
i = 0.05 * 12/10 = 0.06 = 6%


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