MATHS'' interest

👨🏻‍🏫 學術台數學

丫ingB×°

2009-01-17 1:18 am

請跟據以下公式來計算Q.1
Simple Interest:
Interest= Principal x (rate%) x time

Compound Interest:
Amount= Principal x (1+ rate%)^n
Interest = Amount - principal

1. Mr.Wong invests $5000 for 2 years at 6% p.a.

(a) Find the simple interest

(b) Find the compound interest he will obtain if the interest is compounded

(i) yearly
(ii) half-yearly
(iii)quarterly

更新1:

想問下咩叫 p.a. ??

回答 (2)

芸菁

2009-01-17 1:37 am

✔ 最佳答案

1a) Simple interest
=5000 x 6% x 2
= $600

1bi) Compound interest
=5000 x ( 1 + 6% )^2 - 5000
= $618

bii) Compound interest
=5000 x ( 1 + 6%/2)^4 - 5000
= $627.54405

iii) Compound interest
=5000 x ( 1 + 6%/4)^6 - 5000
= $467.216319713203125

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[匿名]

2009-01-20 7:33 pm

p.a. = per annum
即是每年

1a.

5000x(6%)x2

=600

1b(i)

5000x(1+6%)^2-5000
=618

1b(ii)
6% p.a.
half-year interest = 6%/2
= 3%
within 2 year...there are 2/0.5 =4次利息

5000x(1+3%)^4-5000
=627.54 (corr to 2d.p.)

1b(iii)
quarterly interest =6%/4
=1.5%

5000x(1+1.5%)^8-5000
=632.46 (corr to 2 d.p.)

上面的那位不小心把iii的次方數弄錯了...
3個月一次...2年一共派息8次才對
我的寫法是方便你了解...
功課上還是用樓上那位的寫法吧....

參考: 自己計的

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