Moore's law says that the number of transistors in a dense integrated circuit increases by 41, percent every year. In 1974, a dense integrated circuit was produced with 5000 transistors.

Which expression gives the number of transistors in a dense integrated circuit in 1979?

Question

Mathematics

Adonis Benitez

29 June, 17:16

Moore's law says that the number of transistors in a dense integrated circuit increases by 41, percent every year. In 1974, a dense integrated circuit was produced with 5000 transistors.

Which expression gives the number of transistors in a dense integrated circuit in 1979?

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Answers (2)

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Ashten · Answer 1

5000 (1+0.41) ^5

Step-by-step explanation:

Growth at a rate of 41% means the number of transistors keeps its 100%, and adds 41%, percent more. So each year, the number is multiplied by 100% + 41%, which is the same as a factor of (1+0.41).

After 0 years (i. e., in 1974), the number of transistors in a dense integrated circuit was 5000.

After 1 year, that number was multiplied by 1 + 0.41, so it was 5000 (1+0.41)

After 2 years, the number was again multiplied by 1+0.41, so 5000⋅ (1+0.41) ⋅ (1+0.41), which is 5000 (1+0.41) ^2

We can keep doing this until we get to 5 years after 1974, which is 1979.

In conclusion, this is an expression for the number of transistors in a dense integrated circuit in 1979:

5000 (1+0.41) ^5

Arabella Branch · Answer 2

5000 (1+0.41) ^5

Step-by-step explanation:

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Moore's law says that the number of transistors in a dense integrated circuit increases by 41, percent every year. In 1974, a dense integrated circuit was produced with 5000 transistors.Which expression gives the number of transistors in a dense integrated circuit in 1979?

Moore's law says that the number of transistors in a dense integrated circuit increases by 41, percent every year. In 1974, a dense integrated circuit was produced with 5000 transistors.

Which expression gives the number of transistors in a dense integrated circuit in 1979?