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\noindent \vfil \noindent \large \hfil Math 120 A Spring 2011 \hfil \pp \hfil Mid-Term
Exam Number Two\hfil  
\pp \hfil May 19, 2011 \hfil \pp 
\hfil Answers \hfil 
\pp

There were two versions of the exam.

\bigskip

In version A, in problem 1, Frank had 62 percent accuracy at the age of 20 years.

\bigskip

\begin{enumerate}

\item $\frac{1450}{23}=63.04347826... $

\item (a) $x=-7$ is the only solution. 
(b) $\dsps h^{-1}(x) = x+\frac{9}{2}-\frac{\sqrt{36x+81}}{2}$

\item 36.1314 years after 1990.

\item 7.4604 cm

\end{enumerate}

\bigskip

In version B, in problem 1, Frank had 56 percent accuracy at the age of 20 years.

\bigskip

\begin{enumerate}

\item $\frac{1600}{29} = 55.1724137... $

\item (a) $x=\frac{7}{9}$ is the only solution. 
(b) $\dsps h^{-1}(x) = x+2-2\sqrt{x+1}$.

\item 21.20085 years after 1990.

\item 9.325 cm 

\end{enumerate}

\end{document}


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