Howequation was this solved

Posted on 2005-04-13
Last Modified: 2010-04-17
Can anyone explain how this was solved as i need to master this.. many thanks

100000 = 146400 / ( r + 1 )^ 4

r = 10

Question by:ProgramVB
    1 Comment
    LVL 2

    Accepted Solution

    The solution to the problem is not 10....plugging in 10 to the equation I get:

    100000 = 146400 / (11)^ 4
    100000 = 146400 / 14641
    100000 = 9.993                 <----false

    So, to solve it:

    100000 = 146400 / (r+1)^4

    First, multiply both sides by (r+1)^4...the right side cancels and you get:

    (r+1)^4 * 100000 = 146400

    now, divide both sides by 100000 to get

    (r+1)^4 = 1.464

    Take the 4th root of both sides to get

    r+1 = 1.09998

    Subtract 1 from both sides:

    r = .09998

    And if you plug this back in you get:

    100000 = 146400 / (1.09998)^4
    100000 = 146400 / 1.464
    100000 = 100000                     <-----true

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