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melisa1 [442]
3 years ago
11

A computer cpu at 33mHz doubles every 18 month, using exponents how would show the answers after it doubles 3 times

Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0
If 33mHz doubled 3 times,
33+33=66
66+66=132
132+132=264
agasfer [191]3 years ago
5 0

if something doubles, meaning it has a growth rate of 100%, like say hmmmmm, your flowers in the garden are hmmm 25, next morning they're 50, they doubled, their rate of growth is 100%, meaning the next morning they are 100% more than the day before.


if they have doubled 3 times, that means 18+18+18 months have passed, or 54 months.


\bf \textit{Periodic/Cyclical Exponential Growth}
\\\\
A=P(1 + r)^{\frac{t}{c}}\qquad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &33\\
r=rate\to 100\%\to \frac{100}{100}\to &1.00\\
t=\textit{elapsed time}\to &54\\
c=period\to &18
\end{cases}
\\\\\\
A=33(1 + 1)^{\frac{54}{18}}\implies A=33(2)^{\frac{54}{18}}


of course 54/18 is 3.

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