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? 發問於 科學及數學數學 · 1 十年前

美國的SAT數學exam

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

1 個解答

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  • 1 十年前
    最愛解答

    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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