Peter's apartment is on lease for $5000 each month and he desposits the rent in a bank monthly. The bank offers an interest rate of 6% p.a. compound monthly. Find the amount he will receive after two years. (Assume Peter deposits the money in the bank on the first day of each month.)
Give solution step by step please.
Typing in Chinese is acceptable.
唔該哂 !
Maths interests&geometric sq.
2009-01-17 2:37 am
回答 (1)
2009-01-17 3:58 am
✔ 最佳答案
Monthly interest = 6%/12 = 0.5%
Total amount for the 1st deposit = $5000(1 + 0.5%)24 = $5000(1.005)24
Total amount for the 2nd deposit = $5000(1 + 0.5%)23 = $5000(1.005)23
......
Total amount for the last deposit = $5000(1 + 0.5%) = $5000(1.005)
Total amount received
= $5000[(1.005) + (1.005)2 + (1.005)3 + ...... + (1.005)24]
= $5000 x 1.005 x [(1.005)24 - 1]/(1.005 - 1)
= $127795.58
=
收錄日期: 2021-04-29 18:16:44
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090116000051KK01167