F.2 maths - Ans.fyi 參考答案

F.2 maths

2008-03-23 1:54 am

ABOUT SIMPLE INTEREST & COMPOUND INTEREST

5)If the interest rate is increased from 7% p.a. to 8% p.a. , one will gwt $200more for the simple interest in a year. Find the amount of principal.

6)At what interestrate wil a sum of money double itself in ten years at a simple interest?

7)Find the compound interest in %15000 for 3 years at 9% p.a. compounded yearly.

8)Find the difference between the simple and compound interest payable yearly on $40000 for 3 years at 9% p.a.
....

11)Find the total amount on a deposit of $20000 for 2 years at 8% p.a. compounded quarterly.

答得幾多得幾多..so thx!!

回答 (1)

用戶230166

2008-03-23 2:06 am

✔ 最佳答案

5)
the amount of principal = 200 / (8%-7%)
= $20000

6)
Let x% be the interest rate. $y be the principal.
y+(y*x%*10) = 2y
x%*10 = 1
x% = 0.1
x = 10
Therefore the required interest rate is 10%

7)
The compound interest = 15000 x 109%^3 - 15000
　　　　　　　　　= $4424.435

8)
The required difference = 40000 x 109%^3 - 40000 - 40000 x 9% x 3
　　　　　　　　　= $1001.16

11)
amount = 20000 x 102%^8
　　　= $23901.85 (2 decimal place)

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