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What is the formula if I want to know... What is 33,000 increased by 1% by x number of times?

Update:

what does the ˆ in a math formula mean?

Update 2:

The number starts at 33,000. Increase by 1%, it becomes 33,330. Increase 33,330 by 1%, it becomes 33,663.3 . . . ad infinitum

4 Answers

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  • 1 decade ago
    Favorite Answer

    The symbol "^" means raised to the power of ___ , in other words, it shows what exponent is used.

    It doesn't matter what the initial amount is, the increase of 1% will result in the same amount of increase after a certain number of repetitions... which can be multiplied by the initial amount to determine the net amount...and you must add 1 to the rate of increase because you are retaining the initial amount.

    so after 1 cycle you will have:

    1.01 X 33,000 = 33,330

    2 cycles will result in:

    1.01 X 1.01 = 1.01^2 = 1.0201 X 33,000 = 33,663.33

    3 cycles will result in:

    1.01 X 1.01 X 1.01 = 1.01^3 = 1.030301 = 33,999.933

    PV = Present Value

    FV = Future Value

    R = Rate expressed as a decimal, 1% = .01

    n = number of cycles

    FV = PV (1+R)^n

    For values of n greater than four or five, a scientific calculator is a big advantage!

  • 1 decade ago

    F<x>=33000*1/100*x

  • 1 decade ago

    y=33,000(1.01^x)

    Formula: y = a (b^[x/t])

    Y = total

    A = total before anything happens

    B = Increase or multilpier (i.e. +1% = 101% = 1.01)

    X = the number of times something has happened

    T = how often X occurs (i.e. If it increases every 3 months, t=3. For you, I assume t=1)

    Source(s): Pre-calculus class, and math comes easily for me.
  • 1 decade ago

    Take 33,000 x 1.01 (for the 1% increase) x N (for the number of times) to get your answer.

    NRT

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