moores law predicts that the number of transistors that can be fit on a microchip will increase by 41% every…

moores law predicts that the number of transistors that can be fit on a microchip will increase by 41% every year. if microchips from a given year could hold about 949,000 transistors, how many transistors could fit on a microchip 7 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 41% every year. if microchips from a given year could hold about 949,000 transistors, how many transistors could fit on a microchip 7 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 $P$ is the initial amount, $r$ is the rate of growth as a decimal, and $n$ is the number of time periods. Here, $P=949000$, $r = 0.41$, and $n = 7$.

Step2: Substitute the values into the formula

$A=949000\times(1 + 0.41)^7$. First, calculate $(1 + 0.41)^7$. $(1 + 0.41)^7=1.41^7$. Using a calculator, $1.41^7\approx11.6477$. Then, $A = 949000\times11.6477$. $A\approx949000\times11.6477 = 10953667.3$.

Step3: Round the answer

Rounding $10953667.3$ to the nearest whole number gives $10953667$.

Answer:

$10953667$