Moore's Law predicts that the number of transistors that can be fit on a microchip will increase by 40% every year. If microchips from a given year could hold about 610,000 transistors, how many transistors could fit on a microchip 11 years later?

Question

Mathematics

Amaya Stokes

2 February, 23:57

Moore's Law predicts that the number of transistors that can be fit on a microchip will increase by 40% every year. If microchips from a given year could hold about 610,000 transistors, how many transistors could fit on a microchip 11 years later?

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Answers (1)

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Arnav Mullins · Answer 1

24 700 000

Step-by-step explanation:

this makes use of the compound interest formula:

A = P * (1 + R / 100) ^n

A is the amount invested

P is the principle

R is the rate on interest

n is the number of years

NOTE : you can notice that its compound interest because it says that in a given year is 610 000 transistors ... how many transistors could fit on a microchip 11 years later?

showing that the rate of increase in transistors is not constant.!

A = 610 000 * (1 + 40 / 100) ^ 11

A = 24 702 347.53

to 3sf is:

24 700 000