Which expression is equivalentHELP ME PLEASE

Mathematics

1 answer:

aalyn [17]3 years ago

7 0

Answer:

the 4th option is correct

Step-by-step explanation:

$xy^{2/9}$ Original expression

$x(y^{2})^{1/9}$ Split up the exponent

$x(\sqrt[9]{y^{2} } )$ The 1/9 of an expression is the same thing is the 9th root of the expression.

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$\bf ~~~~~~~~~~~~ \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\
~~~~~~
\begin{cases}
P=
\begin{array}{llll}
\textit{original amount deposited}\\
\end{array}\to &250000\\
pymt=\textit{periodic payments}\\
r=rate\to 5.4\%\to \frac{5.4}{100}\to &0.054\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{since the payments are}\\
\textit{monthly, then twelve}
\end{array}\to &12\\
t=years\to &30
\end{cases}
$

$\bf pymt=250000\left[ \cfrac{\frac{0.054}{12}}{1-\left( 1+ \frac{0.054}{12}\right)^{-12\cdot 30}} \right]
\\\\\\
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\\\\\\
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