急!急! 初中maths問題 (2)

2007-01-30 4:06 am
我要趕時間,唔該幫我計下呢的題目啦!

3.A sum of $42000 is deposited in a bank.The interest is compounded half-yearly.If the amount becomes $46305 after 1 year,find the interest rate per annum.

help me!! THX!! ^_^

回答 (3)

2007-01-30 4:25 am
✔ 最佳答案
Let x be interest rate per annum
(x%/2) = interest rate per half-year
(1*2) = 2 half-year = 1 year

$42000*[1+(x%/2)]^(1*2) = $46305

[1+(x%/2)]^2 = (46305/42000)

[1+(x%/2)] = 1.1025^(1/2)

x%/2 = 1.05-1

x% = 0.05*2

x% = 0.1

x = 0.1*100

x = 10

So The interest rate p.a. is 10%

Finish!!!(@^^@)
2007-01-30 4:20 am
let x be the interest

42000 * (1 + x/2)^2 = 46305
(1 + x/2)^2 = 1.1025
1 + x/2 = 1.05
x/2 = 0.05
x = 0.1

the interest rate paer annum is 0.1 or 10%
2007-01-30 4:11 am
42000*(1+X%)^2=46305


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