8. What is the diffeence between simple interest compound interest(compounded annually) at 4% p.a. for 2 years with a principal of $20000 ?
9. At what simple interest rate will a sum of money triple itself in 20 years ?
10. A tree is now 6.76m high . Two years ago it was 4m high. If the tree grows at a constant rate each year , what is the annual growth rate ?
FORM TWO MATHS (3)
2007-08-16 10:43 pm
回答 (1)
2007-08-16 11:55 pm
✔ 最佳答案
(8)P=20000, i=4%, y=2
Simple Interest
20000 + 2000(4%)(2) = 21600
Compound Interest
20000*(1+4%)^2 = 21632
The difference is 21600 - 21632 = 32
(9)
Let P be the principal, i be the interest rate
The equation is:
P + P(i%)(20) = 3P
1 + 0.2i =3
0.2i =2
i=10
The annual interest rate is 10%
(10)
Let the growth rate be g
4 + 4(g%)(2) = 6.76
0.8g = 2.76
g=3.45
The growth rate is 3.45%.
參考: Self
收錄日期: 2021-04-13 13:17:57
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