[數學] Interest

2009-08-13 5:27 am
A sum of money is deposited at a rate 8% p.a. compound half-yearly. The amount of money after 2 years is $146232.32. What is the sum of money?


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回答 (2)

2009-08-13 5:43 am
✔ 最佳答案
Let the sum of money be y
y(1+8%/2)4=146232.32
(1.04y)4=146232.32
1.04y=146232.32/4
y=36558.08/1.04
y=35152
compound rate(複利率)

複利公式


本利和 = 本金(1 + 每期利率)期數



參考: me
2009-08-13 6:30 am
Let the sum of money be $P.
P ( 1 + 8% / 2 )^(2x2) = 146232.32
P ( 1 + 4% )^4 = 146232.32
P x 1.04^4 = 146232.32
P = 146232.32 / 1.04^4
P = 125000
The sum of money is $125000.


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