美國的SAT數學exam

2006-12-01 5:59 pm
A business paid $300 to rent a piece of office equipment for one year . The rent was then increased by 10 percent each year thereafter. How much will the company pay for the first three years it rents the equipment?
係單利息or複利息,
答案係$993
我想要過程,thank you

回答 (1)

2006-12-01 6:32 pm
✔ 最佳答案
A business paid $300 to rent a piece of office equipment for one year . The rent was then increased by 10 percent each year thereafter. How much will the company pay for the first three years it rents the equipment?
有兩個方法,視乎你想應用哪種概念。
1.使用簡單年利計算:
-----------
First year price
= $300
Second year price
= First year price * (1+10%)
= $300 * (110%)
= $300 * 1.1
= $330
Third year price
= Second year price * (1+10%)
= $330 * (110%)
= $330 * 1.1
= $363
Total price
= $300 + $330 + $363
= $993
2.使用等比數列計算:
-----------
First term a
= $300
Common ratio r
= 110%
= 1.1
NUmber of terms n
= 3
Geometric Sum
= a[1-rn]/(1-r)
= $300[1-1.1³]/[1-1.1]
= $300[1-1.331]/(-0.1)
= $300(3.31)
= $993
So the total price is $993.


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