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Archive for the ‘Everyday Math!’ Category

Arithmetic sequence: If you take a sequence of numbers, the difference between any two numbers will be constant. Eg: 2, 4, 6, 8, 10, 12, 14….. Arithmetic series: Sum of the above mentioned arithmetic sequence of numbers. Eg: 2+4+6+8+10 Here is a question for u. How will you calculate the sum of the arithmetic series [...]

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Doubling Time

The quickest way to remember the doubling time if you know the rate of growth (provided it is constant) is to remember this formula: T2 = 70/rate You can ask me how did I get this. Its simple, just take the use of exponential function.  .7 is nothing but the natural log of 2 to [...]

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Radio Carbon Dating – Example for Exponential Decay As cosmic radiation bombards earth’s atmosphere, nitrogen gets split into Carbon 14, an unstable isotope (C14 is called ‘radiocarbon’ because it is radioactive). Now because of lightening and other natural phenomenon, carbon 14 gets into the atmosphere that is taken up readily by the plants through photosynthesis. [...]

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Linear Relationship When a change in one variable is reflected in another variable at a constant rate, then they have a linear relationship. You can plot this in a graph. For example, imagine that you are ordering a cable TV connection. The basic cable connection cost you $10. For an addition of every 5 channels [...]

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Logarithmic function is an inverse of the exponential function. We strive to find out the value of the power in log. Example: X is an independent variable (which we manipulate) and Y is a dependent variable (which we obtain). Exponential function: 23 = 8 Logarithmic function: Log 2 8 = 3         [...]

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Supposing a genie comes out of an old box and says to you that it will give you two choices. The first choice being it’ll pay you $1000 every year for 30 years. The alternate choice would be that it’ll pay you starting from $1 onwards and doubling it every year for 30 years. Which [...]

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