Over the past five years, a country's total carbon emissions decreased from $X$ billion metric tons of CO2 equivalent (CO2e) in year 1 to $Y$ billion metric tons of CO2 equivalent (CO2e) in year 5, achieving an average annual carbon reduction of 5\%, that is, $Y = ( 1 - 0.05 ) ^ { 4 } X$. The five-year carbon emission totals and annual growth rates are recorded in the following table, where\\
Year $n$ carbon emission growth rate $= \frac { \text {(Year } n \text { carbon emission total)} - \text {(Year } n - 1 \text { carbon emission total)} } { \text {Year } n - 1 \text { carbon emission total} }$, $n = 2,3,4,5$.

\begin{center}
\begin{tabular}{ | c | c | c | c | c | c | }
\hline
 & Year 1 & Year 2 & Year 3 & Year 4 & Year 5 \\
\hline
\begin{tabular}{ c }
Carbon Emission Total \\
$($ billion metric tons $\mathrm { CO } 2 \mathrm { e } )$ \\
\end{tabular} & $X$ & $A$ & $B$ & $C$ & $Y$ \\
\hline
Annual Carbon Emission Growth Rate & & - 0.07 & $p$ & $q$ & $r$ \\
\hline
\end{tabular}
\end{center}

Select the correct options.\\
(1) $A = 0.93 X$\\
(2) $Y \leq 0.8 X$\\
(3) $\frac { - 0.07 + p + q + r } { 4 } = - 0.05$\\
(4) $\sqrt [ 4 ] { \frac { Y } { X } } - 1 = - 0.05$\\
(5) $0.93 ( 1 + p ) ( 1 + q ) ( 1 + r ) = ( 0.95 ) ^ { 4 }$