"what is the speed of 70.0 miles per hour in kilometers"

Mathematics

1 answer:

gavmur [86]2 years ago

6 0

70 Miles per Hour =112.65408 Kilometers per Hour
There are 1.60934 kilometers in a mile

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A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia

iogann1982 [59]

$\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\$

$\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}$

what's the population in 2004? well, from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004

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Cost of a comic book $3.95 markup 20%

Sergeu [11.5K]

If you mean the price is now 120% of the original, $<span>4.74 (3.95 * 0.8) is the new price.

If you mean the price is now 80% of the original, $3.16 (3.95 * 1.2) is the new price.</span>

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Could anyone check my Algebra answer?

Mekhanik [1.2K]

Answer:

yes -156 is correct

Step-by-step explanation:

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