The given bar diagram represents the number of persons who have taken an insurance policy on the y-axis, and the year of purchase of the insurance policy on the x-axis.
What is the approximate percentage change in the number of persons who took insurance in 2014 from that in 2011?(correct to one decimal place)
If \(
\begin{aligned}
x &= \frac{\sqrt{5} - \sqrt{4}}{\sqrt{5} + \sqrt{4}}
\end{aligned}
\) and \(
\begin{aligned}
y &= \frac{\sqrt{5} + \sqrt{4}}{\sqrt{5} - \sqrt{4}}
\end{aligned} \) then what is the value of \(
\begin{aligned}
\frac{x^{2} - xy + y^{2}}{x^{2} + xy + y^{2}}
\end{aligned}
\)
If \(
\begin{aligned}
\frac{2p}{p^{2} - 5p + 1} &= \frac{1}{10}
\end{aligned}
\) , then the value of value of \(\, \left( p + \frac{1}{p} \right) \,\) is: