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22 June, 01:09

Moore's law says that the number of transistors in a dense integrated circuit increases by 41/%41%41, percent every year. In 197419741974, a dense integrated circuit was produced with 500050005000 transistors. Which expression gives the number of transistors in a dense integrated circuit in 197919791979?

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  1. 22 June, 02:07
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    In 1979 the amount of transistors in a chip was approximately 27865.

    Step-by-step explanation:

    Since the number of transistors in 1974 was 5000 per chip and it increases at a rate of 41% per year, the number of transistors in a chip per year can be modelled by the following expression:

    chips (t) = 5000 * (1.41) ^ (t - 1974)

    Therefore in 1979, we have:

    chips (1979) = 5000 * (1.41) ^ (1979 - 1974)

    chips (1979) = 5000 * (1.41) ^5

    chips (1979) = 27865.4183

    In 1979 the amount of transistors in a chip was approximately 27865.
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