It is given that,
[tex]\begin{gathered} Rate\text{ = 9\% = }\frac{9}{100}=0.09 \\ time\text{ = 18 years} \\ Principal\text{ = \$ 5550} \end{gathered}[/tex]
Continuous compound interest is given as,
[tex]\begin{gathered} Continuous\text{ c}ompound\text{ interest = P}\times e^{rt} \\ Continuous\text{ c}ompound\text{ interest = 5550 }\times\text{ e}^{0.09\times18} \\ Continuous\text{ c}ompound\text{ interest = }\frac{}{}5550\text{ }\times\text{ e}^{1.62} \\ Continuous\text{ c}ompound\text{ interest = 28044.65 } \\ \\ \end{gathered}[/tex]
Thus the continuous compound interest is $28044.65.
