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4 years ago

5

What is -a-2 if a+-5?

1 answer:

Burka [1]4 years ago

7 0

If you are asking (what is a-2 if a= (-5)...) then the answer is -7

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Do the products 40 times 500 and 40 times 600 have the same number of zeros

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Yes they do have the same number of zeros

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3 years ago

Ronald started solving the equation -2(2xC – 4)+3 = 6x +1.<br> Which is a correct next step?

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A jet travels 600 miles in 5 hours. At this rate, how far could the jet fly in 15 hours? *

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3 years ago

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4 years ago

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

3 0

4 years ago