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2 years ago

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Robert has a piece of twine that is 3 / 4 yard long . He needs a piece of twine that is 2 / 3 of this length . What length of tw

ine does Robert need ?

1 answer:

Travka [436]2 years ago

4 0

Answer is 1/2❤️❤️❤️❤️❤️❤️❤️

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

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$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

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=8x + (-3) (5) + (-3) (9x)

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tankabanditka [31]

Answer:

2,5

Step-by-step explanation:

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