moores law predicts that the number of transistors that can be fit on a microchip will increase by 40% every…

moores 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 922,200 transistors, how many transistors could fit on a microchip 19 years later? if necessary, round your answer to the nearest whole number. transistors

moores 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 922,200 transistors, how many transistors could fit on a microchip 19 years later? if necessary, round your answer to the nearest whole number. transistors

Answer

Explanation:

Step1: Identify the formula for compound - growth

The formula for compound - growth is $A = P(1 + r)^n$, where $A$ is the final amount, $P$ is the initial amount, $r$ is the growth rate as a decimal, and $n$ is the number of time periods. Here, $P=922200$, $r = 0.4$, and $n = 19$.

Step2: Substitute the values into the formula

$A=922200\times(1 + 0.4)^{19}$. First, calculate $(1 + 0.4)^{19}$. $(1.4)^{19}\approx1020.6194$. Then, multiply by the initial amount. $A = 922200\times1020.6194$. $A\approx922200\times1020.6194 = 941204221.68$.

Step3: Round to the nearest whole number

Rounding $941204221.68$ to the nearest whole number gives $941204222$.

Answer:

$941204222$