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ladessa [460]
3 years ago
5

Please help me

Mathematics
1 answer:
victus00 [196]3 years ago
3 0

Answer:

The lines are perpendicular, meaning if they were to intersect, they would form four right angles.

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Write the three other fractions equal to 1/4
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2/8 , 3/12 , 4/16..........
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A share of Orange stock that was worth $25 in 2000 increased exponentially to $72 in 2010. What is the annual multiplier and wha
umka21 [38]
\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\stackrel{multiplier}{\textit{initial amount}}\\
r=\stackrel{increase~rate}{rate\to r\%\to \frac{r}{100}}\\
t=\textit{elapsed time}\\
\end{cases}\\\\
-------------------------------

\bf \textit{we know that in }\stackrel{year~0}{2000}\textit{ there were }\stackrel{A}{\$25}\implies 25=I(1+r)^0
\\\\\\
25=I(1)\implies 25=I\qquad \qquad \boxed{A=25(1+r)^t}\\\\
-------------------------------\\\\
\textit{we also know that in }\stackrel{year~10}{2010}\textit{ it turned to }\stackrel{A}{72}\implies 72=25(1+r)^{10}

\bf \cfrac{72}{25}=(1+r)^{10}\implies \sqrt[10]{\frac{72}{25}}=1+r\implies \sqrt[10]{\frac{72}{25}}-1=r
\\\\\\
0.111576\approx r\implies r\%=100\cdot 0.111576\implies r\approx \stackrel{\%}{11.1576}
6 0
3 years ago
How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that
lukranit [14]

Answer: 25 computers will be selected

Step-by-step explanation:

Where: Z -value at 95% confidence = 1.96; SD = Standard deviation = 10 minutes; N = Sample size; Margin error = 4 minutesSubstituting;4 = 1.96*10/Sqrt (N)Sqrt (N) = (1.96*10)/4 = 4.9N = 4.9^2 = 24.01 ≈ 25

5 0
3 years ago
Tech Middle received a
enot [183]

Answer: 166 laptops

Step-by-step explanation:

From the question, each laptop costs $1350;

Number of laptops = $225000/1350

= 166.667

6 0
3 years ago
An estate of $686,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
gregori [183]

Answer:

The oldest gets -> $335,500

The middle gets -> $182,750

The youngest gets -> $167,750

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

<em>686,000 = 2y + (15,000 + y) + y</em>

<u>Step 2:  Solve for y</u>

686,000 - 15,000 = 2y + 15,000 + y + y - 15,000

671000 / 4 = 4y / 4

<em>167,750 = y</em>

<u>Step 3:  Figure the amount of money the middle sibling gets</u>

m = y + 15,000

m = 167,750 + 15,000

<em>m = 182,750</em>

<u>Step 4:  Figure the amount of money the oldest sibling gets</u>

o = 2y

o = 2(167,750)

<em>o = 335,500</em>

Answer:  The oldest gets -> $335,500

                The middle gets -> $182,750

                The youngest gets -> $167,750

3 0
3 years ago
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