3 years ago

What is the distance between the endpoints (2,3) and (-3,-2)?

Mathematics

1 answer:

Deffense [45]3 years ago

3 0

$distance= \sqrt{(-3-2)^2+(-2-3)^2}= \sqrt{25+25}= \sqrt{50}=5 \sqrt{2}$

Answer is 5√2

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How much would $500 invested at 6% interest compounded monthly be worth after 5 years

likoan [24]

$\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}\to &\$500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12\\
t=years\to &5
\end{cases}
\\\\\\
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