$229.60
Explanation:Principal = $200
Interest rate = 2.3% = 0.023
time = 6 years
We would apply a formula for contionus compounding:
[tex]\begin{gathered} A=Pe^{rt} \\ \text{where A = amount} \\ P\text{ = principal} \\ r\text{ = rate} \\ t\text{ = time} \end{gathered}[/tex]Inserting the values into the formula:
[tex]\begin{gathered} A=200(e^{0.023\times6}) \\ A=200(e^{0.138}) \end{gathered}[/tex][tex]\begin{gathered} A\text{ = 200(1.14798)} \\ A\text{ = }229.60 \end{gathered}[/tex]Amount of money Kate will have after 6 years is $229.60
