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julia-pushkina [17]
3 years ago
7

Lisa and Debbie are hiking up the same mountain trail. They start their hike from different points on the trail. Lisa's elevatio

n from the base of the mountain in relation to the time since she began hiking is shown in the table. Time (hours) 0 1 2 3 4 Elevation (feet) 275 425 575 725 875 Debbie's elevation from the base of the mountain in relation to the time since she began hiking is shown on the graph. Complete the statements to correctly describe the situation. started at a higher elevation. is hiking at a faster rate. If both women hike up the trail for 5 hours, will be at a higher elevation.
Mathematics
1 answer:
Brut [27]3 years ago
8 0

Lisa started at a higher elevation

Debbie is hiking at a faster rate

if both women hike for 5 hours, Debbie will be at a higher elevation

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Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How
Scorpion4ik [409]

let's check how much is it after 2 years firstly.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275


Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}


\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}

4 0
3 years ago
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Answer:

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A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).

To find the value of x at the vertical asymptote, solve the equation ...

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  x - 7 = 0

  x = 7 . . . . . . . add 7 to both sides

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Answer:

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