Transcript text: Name: Aanya Bejjenki
Lab Quiz 5:
\begin{tabular}{|c|c|l|}
\hline Year & Price index & Nominal Expenditure \\
\hline 2019 & 0.95 & $\$ 3,000$ \\
\hline 2024 & 1.15 & $\$ 5,000$ \\
\hline
\end{tabular}
Use the information above to answer the following questions.
1. What is the real expenditure in 2019?
Real expenditure in $2019=\frac{3,000}{0.95}=\$ 3,157.89$
2. What is the real expenditure in 2024 ?
Real expenditure in $2024=\frac{5000}{1.15}=\$ 4,347.83$
3. What is the simple growth rate in real expenditure between 2019 to 2024?
Simple growth rate $=\frac{(4347.83-3157.89)}{3157.89} \times 100 \neq 37.63 \%$
4. What is the compound growth rate in real expenditure between 2019 and 2024 ?
compound growth rate $=\frac{4347.83}{3157.89} 1 / 5-1=6.39 \%$
5. Use the compound growth rate to estimate the real expenditure in 2020.
Real expenditure in 2020
\[
\begin{array}{c}
-3157.89 \times(1+0.0639)^{1} \\
=\$ 3,359 \cdot 68
\end{array}
\]