Peter has deposited $3800 into the bank and the interest is compounded half-yearly.If the interest earned after one year's deposite is $389.5,find the compounded interest rate per annum.
(詳細列式及解釋)
Compounded Interest = Principal x (1+Rate)自乘Time - Principal
Compounded Interest=複利息
Principal=本金
Rate=利率
Time=時間
(50點)數學(急!急!急!)
2007-07-14 7:43 am
回答 (2)
2007-07-14 7:49 am
✔ 最佳答案
Compounded Interest = Principal x (1 + Rate)自乘Time - PrincipalLet the compounded interest rate per annum be r
Given
Principal = $3800
Time = 2 half years
So, 389.5 = 3800 X (1 + r%/2)^2 - 3800
4189.5 = 3800 X (1 + r%/2)^2
1.1025 = (1 + r%/2)^2
1 + r%/2 = 1.05
r%/2 = 0.05
r% = 0.1
r = 10
Therefore, the compounded interest rate per annum is 10%.
2007-07-13 23:58:08 補充：
下面的朋友，佢interest係compounded half-yearly，唔係monthly
參考: Myself~~~
2007-07-15 12:32 am
Question seems very tricky, but the answer is very simple
Ans: Interest Rate = Interest earned for one year / Deposit
i.e. $389.50 / $3,800 = 0.1025
For example, interest earned for 5 years
= $3,800 X (1+0.1025)^5 - $3,800
= $2,389.80
Ans: Interest Rate = Interest earned for one year / Deposit
i.e. $389.50 / $3,800 = 0.1025
For example, interest earned for 5 years
= $3,800 X (1+0.1025)^5 - $3,800
= $2,389.80
收錄日期: 2021-04-13 16:09:34
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