Çözüldü Compound Interest Computation - Logarithm

Konusu 'TOEFL - IELTS - SAT - ACT - GRE - GMAT Hazırlık' forumundadır ve Honore tarafından 13 Şubat 2021 başlatılmıştır.

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  1. Honore

    Honore Yönetici Yönetici

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    A slightly harder version of a problem from the Washington State University.

    How many years does it take to triple an investment compounded annually at an interest rate of 7.5%?

    Investment: Capital (C)
    Time: t years
    3C = C·(1 + 7.5 / 100)^t
    3 = (1 + 7.5 / 100)^t
    log(3) = t·log(107.5 / 100)
    log(3) = t·[ log(1.075) ]
    t = log(3) / log(1.075)
    t ≈ 15.2 years.

    Original Question and Solution:
    [​IMG]
    https://i.ibb.co/VVcRsFh/Compound-Interest.png
    http://www.math.wsu.edu/faculty/bkrishna/FilesMath201/F08/Exams/Sol_Sample_Test2.pdf
    (Last Problem)

    Notes:
    1. No change depending on the logarithm base
    2. Some calculators are allowed on SAT.

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