Explanation:
The compound interest formula is given below as
[tex]A(t)=P\times e^{rt}[/tex]
Where,
[tex]\begin{gathered} P=500 \\ r=\frac{4}{100}=0.04 \\ t=7 \end{gathered}[/tex]
By substitutng the values, we will have
[tex]\begin{gathered} A(t)=p\times e^{rt} \\ A(t)=500\times2.718^{0.04\times7} \\ A(t)=\text{ \$}661.55 \end{gathered}[/tex]
Hence,
The final answer is
[tex]\Rightarrow A(t)=\operatorname{\$}661.55[/tex]
OPTION D is the correct answer
