Determine the slope of the line that passes through the given points. (8, 1) and (8, -4)

Mathematics

1 answer:

Pie3 years ago

8 0

This would be undefined

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Four randomly chosen Nevada students were asked how many times they drove to Arizona last year. Their replies were 4,5,6,7. The

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The geometric mean of the numbers is 5.38

Given the values a, b, c and d

Geometric mean of the values will be expressed as:

GM = (abcd)^1/4

Given the values 4, 5, 6 and 7, the geometric mean will be expressed as:

GM = (4×5×6×7)^1/4

GM = (840)^1/4

GM = 5.38

Hence the geometric mean of the numbers is 5.38.

Learn more: brainly.com/question/23875011

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$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}$

$5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}$

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