Combining Functions

Nuwi

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Jan 21, 2020
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Roughly speaking, the complexity of a computer required to simulate a human brain is equivalent to the human brain's computing power. Such a computer would require the ability to process approximately
33.9×1015 operations per second.
The world population is currently 7.76 billion and growing at a rate of approximately 1.03% per year.
a) Determine a function for the entire human race's computing power based on time (x) which is years since 2020.
Computers have increased in complexity at an exponential rate since the first ones were developed in 1900. The speed of computers (in operations per second) over time can be approximated by the function:
C(t) = 2200×2t/2.16 (This is a formulation of Moore's Law)
where t is years since 1971.
In what year (rounded to the nearest year) will machines have more computing power than the sum total of the entire human race?
 
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