(急急急)數學題一條(compound interest)

2008-04-06 10:32 pm
Mary deposits $1600 at a bank. The interest is compounded half-yearly and an interest of $81 will be accrued after 1 year. Find the interest rate. (Please show detailed steps. Thank you.

回答 (2)

2008-04-07 12:11 am
✔ 最佳答案
Let the interest be y%

Then,

1600 * ( 1+ y% )^2 = 1600 + 81
( 1+ y% )^2 = 1681 / 1600

So, 1 + y% = 41/40
y% = 0.025
y = 2.5

Thus, the interest is 2.5%

2008-04-11 21:47:26 補充:
tommy_yip_kk( 小學級 5 級 ) 2008-04-08 15:59:03 投票編號 002
tommyyipkk( 小學級 5 級 ) 2008-04-08 15:58:31 投票編號 002
chikam_yip( 小學級 2 級 ) 2008-04-08 15:57:53 投票編號 002


死cheap精!

2008-04-11 21:49:16 補充:
一模一樣咁copy其他人的答案,
只係將「Thus」轉做「Finally」, 就做到最佳回答??
2008-04-07 10:49 pm
Let y be the interest.

$1600 * ( 1+ y% )^2 = $1600 + $81
( 1+ y% )^2 = $1681 / $1600
1 + y% = 41/40
y% = 0.025
y = 2.5

FINALLY.The interest is 2.5%
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