f.2maths (請過來啦!!) (2)

2007-02-03 3:10 am
2.David deposits a sum of money in a bank at 4.5% p.a. simple interest rate for 4 years.He deposits the same sum of money in another bank at an interest rate of 8% p.a. compounded quarterly for 2 years.If the simple interest earned is $121 more than the compound interest earned, find each sum of money David deposits.

呢題係compound interest~~

幫我解答下啦~~ ^_^

回答 (3)

2007-02-03 3:28 am
✔ 最佳答案
let m be the sum of money

mx4.5%x4+m- mx( 1+8%/4)^(2x4)=121

0.18m+m-mx1.02^8=121

0.18m+m-1.17m=121

0.01m=121

m=12100

the sum of money is$12100
2007-02-03 4:22 am
設他存 k元
k(4.5%)(4)-[k(1+8% /4)^8-k]=121

k=14507.3
∴他存14507.3元
參考: king
2007-02-03 3:44 am
mx4.5%x4+m- mx( 1+8%/4)^(2x4)=121
0.18m+m-mx1.02^8=121
0.18m+m-1.17m=121
0.01m=121
m=12100


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