What rate of interest compounded annually is required to double an investment in 2 years

What rate of interest compounded annually is required to double an investment in 2 years

  • Register
  • Username

    Password

    forgot your password?

  •  Home
  •  Forum+0
  •  Formulary
    • Maths
  •  Help
    • Complex Numbers
    • Integral Calculus
    • Differential Calculus
    • Equations
    • Graphs
    • Linear Algebra
    • Number theory
    • Percent
    • Standard Functions
    • Statistics
    • Trigonometry
    • Unit Conversion
    • Units
  •  About
    • Imprint
    • Privacy Policy
    • Terms of Service
    • Credits
    • Google+
    • Facebook
    • Contact Email
  •  

+0  

 what rate of interest compounded annually is required to double an investment in 3 years?

0

17932

2

What rate of interest compounded annually is required to double an investment in 2 years

what rate of interest compounded annually is required to double an investment in 3 years?

Guest Apr 9, 2015

0 users composing answers..

    Best Answer 

     #1

    What rate of interest compounded annually is required to double an investment in 2 years
    +124650 

    +5

    We have

    2A  =A(1 + r)^3     divide both sides by A

    2 = (1 + r)^3         take the log of both sides

    log 2  = log(1+ r)^3    and we can write

    log 2 =3log(1 + r)    divide both sides by 3

     (log2) /3  = log ( 1 + r)    in exponential form, we have

    10 ^[log2 ]/3 = 1 +  r    subtract 1 from both sides

    10 ^[log2 ]/3 - 1 = r =  about 25.9 %

    What rate of interest compounded annually is required to double an investment in 2 years
     
    What rate of interest compounded annually is required to double an investment in 2 years
     
    What rate of interest compounded annually is required to double an investment in 2 years

    CPhill Apr 9, 2015

    2+0 Answers

     #1

    What rate of interest compounded annually is required to double an investment in 2 years
    +124650 

    +5

    Best Answer

    We have

    2A  =A(1 + r)^3     divide both sides by A

    2 = (1 + r)^3         take the log of both sides

    log 2  = log(1+ r)^3    and we can write

    log 2 =3log(1 + r)    divide both sides by 3

     (log2) /3  = log ( 1 + r)    in exponential form, we have

    10 ^[log2 ]/3 = 1 +  r    subtract 1 from both sides

    10 ^[log2 ]/3 - 1 = r =  about 25.9 %

    What rate of interest compounded annually is required to double an investment in 2 years
     
    What rate of interest compounded annually is required to double an investment in 2 years
     
    What rate of interest compounded annually is required to double an investment in 2 years

    CPhill Apr 9, 2015

     #2

    What rate of interest compounded annually is required to double an investment in 2 years

    0

    It can be solved more easily.

    According to rule 72, the rate needed to double the investment is 72 / 3 = 24

    Guest Oct 30, 2016


    30 Online Users

    What rate of interest compounded annually is required to double an investment in 2 years

    What rate of interest compounded annually is required to double an investment in 2 years

    Top Users

    What rate of interest compounded annually is required to double an investment in 2 years
    +117956 Melody moderator

    What rate of interest compounded annually is required to double an investment in 2 years
    +36440 ElectricPavlov

    What rate of interest compounded annually is required to double an investment in 2 years
    +33176 Alan moderator

    What rate of interest compounded annually is required to double an investment in 2 years
    +13970 asinus moderator

    What rate of interest compounded annually is required to double an investment in 2 years
    +3838 Probolobo

    What rate of interest compounded annually is required to double an investment in 2 years
    +2468 BuilderBoi

    What rate of interest compounded annually is required to double an investment in 2 years
    +2417 GingerAle

    What rate of interest compounded annually is required to double an investment in 2 years
    +1975 saseflower

    What rate of interest compounded annually is required to double an investment in 2 years
    +1240 Lightning

    What rate of interest compounded annually is required to double an investment in 2 years
    +1224 CubeyThePenguin

    What rate of interest compounded annually is required to double an investment in 2 years
    +893 proyaop

    Sticky Topics

    Some guidelines for question askers.

    What is Happening 5

    Again a number puzzle. Multiply in writing.

    Loads of fun printable number and logic puzzles

    ¤¤¤¤Welcome To Web2.0calc¤¤¤¤

    How to display latex properly

    Feature Questions 1 - Started 8th May 19

    How to upload a picture.

    If a question is ticked that does not mean you cannot continue it.

    Should you consider anything before you answer a question?

    Geometry Thread

    PUZZLES

    LaTex Coding

    https://www.desmos.com/calculator/bsh9ex1zxj

    Historical post!

    What is happening? Wrap #4

    Great Questions to Learn From 2

    Great Answers to Learn From

    Reference Material

    Information for new people.

    What is the annual rate of interest compounded annually doubles an investment in 2 years?

    Hence, the answer is 41. 4%.

    What rate of interest compounded annually is required to double investment in 3 years?

    Answer and Explanation: The expression for the compound interest. Substitute the known values. Thus, the interest rate should be 41.42%.

    How do you calculate compound interest after 2 years?

    Compound interest, or 'interest on interest', is calculated using the compound interest formula. The formula for compound interest is A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.

    What rate of interest compounded annually is required to double an investment in 5 years?

    Calculator Use For example if you wanted to double an investment in 5 years, divide 72 by 5 to learn that you'll need to earn 14.4% interest annually on your investment for 5 years: 14.4 × 5 = 72. The Rule of 72 is a simplified version of the more involved compound interest calculation.