Respuesta :

A=pe^rt
A=396×e^(0.13×3)
A=584.88

Answer:

[tex]\$584.88[/tex]  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest  is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal


t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=3\ years\\ P=\$396\\ r=0.13[/tex]  

substitute in the formula above  

[tex]A=\$396(e)^{0.13*3}=\$584.88[/tex]