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worty [1.4K]
3 years ago
10

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law,

what would you predict the number of transistors per IC to be 20 years later, in 1992?
Mathematics
1 answer:
spayn [35]3 years ago
4 0

Answer:

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

Step-by-step explanation:

Moore's law:

Moore's law states that the number of transistors per IC doubles every year.

Format of the function:

Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:

N(t) = N(0)*2^t

In which N(0) is the initial estimate.

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).

This means that N(0) = 4000

So

N(t) = 4000*2^t

What would you predict the number of transistors per IC to be 20 years later, in 1992?

This is N(20). So

N(20) = 4000*2^20 = 4194304000

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

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<em>Answer:</em>

<em>The value of the number should be 1 (or less I think)</em>

<em>Step-by-step explanation:</em>

<em>At most means the highest value of the sum should be 27.</em>

<em>10x + 17 = 27</em>

<em>10x = 27 - 17</em>

<em>10x = 10</em>

<em>x = 10/10</em>

<em>x = 1</em>

<em>∴</em><em>The value of the number should be 1</em>

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The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the a
Daniel [21]
<h3>Annual percent growth is 4.37 %</h3>

<em><u>Solution:</u></em>

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate

t is number of years

From given,

a = 5000

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t = 1997 to 2012 = 15 years

r = ?

<em><u>Substituting the values we get,</u></em>

9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%

Thus annual percent growth is 4.37 %

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Answer: This is correct already.

Step-by-step explanation:

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24 = k/5 and 12 = k/10.
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15 = 120/R.
R = 120/15
R = 8 ohms.
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3 years ago
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