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lesya692 [45]
3 years ago
5

Find the amount in a continuously compounded account for the following condition.

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3000\\
r=rate\to 5.4\%\to \frac{5.4}{100}\to &0.054\\
t=years\to &5
\end{cases}
\\\\\\
A=3000e^{0.054\cdot 5}\implies A=3000e^{0.27}\implies A\approx 3929.89
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Point-slope equation for perpendicular lines y=-2x-7 that passes through (-2,-3)
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Answer: below! ^^

Step-by-step explanation:

Hii, do you need an answer to your question? Let me help you out! (;

<h2>. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .</h2><h2>Part 1 ⚜</h2>

Perpendicular lines have slopes that are opposite inverses of each other.

The slope (m) of the line that is perpendicular to y=-2x-7 is \sf -\cfrac{1}{2}.

<h2>Part 2 ⚜</h2>

<h3>⚜ Point slope formula</h3>

\boldsymbol{y-y1=m(x-x1)}

<h3>⚜Stick in the known values</h3>

\boldsymbol{y-(-3)=-\cfrac{1}{2}(x-(-2)}

<h3>⚜ Simplify</h3>

\boldsymbol{y+3=-\cfrac{1}{2}(x+2)}

Voila! There's our answer, cheers! (:

<h2>. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .</h2>

<em>Hope I helped! Best wishes!</em>

<em>Reach far. Aim high. Dream big.</em>

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Your answer is \frac{11}{4}

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Step-by-step explanation:

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