Monday, September 7, 2009

HW 2

In the class we discussed four different types of curves. Linear, exponential, s-shaped, and plateau curves. We were asked to make a prediction of future using those curves to describe that prediction. I think word economic is a good example for that.
Word economic is very interesting topic to be apply to the four curves. We all know that the word economic in the past grew very slow especially before the industries and oil used became so wide, and this represented steady linear curve. But if we compare the long past to the early past, it will represent the exponential shape.
Looking at word economic in these days and compare it with the long past it will represent the s-shaped curve. And I think in the future the word economic will fail so it would represent the plateau curve.
Estimate the doubling time of the software development productivity of the average programmer, if productivity increases at 6%/year.
Let us say the doubling time would be 10 years. Then in 12 years the amount would be double.
Estimate the percent per year of increases in the complexity of PC computers if this complexity doubles every 2 years. (By "complexity" we could say we're talking about the number of transistors on a CPU chip, if you were wondering.)
The approximate percent increase would be about 41%/year.
Estimate the percent per year of increases in the complexity of PC computers if complexity doubles every 18 months, as some think it is doing.
The percent increase is about 56%.
What is the doubling time of your money if you have it in the bank making 2% interest per year?It would 35 years for an arbitrary amount of money to double if it is gaining 2% interest

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