Respuesta :

Answer:

The Final Investment Value  is [tex]\$291.91[/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=2.5\ years\\ P=\$250\\ r=0.062[/tex]  

substitute in the formula above  

[tex]A=\$250(e)^{0.062*2.5}=\$291.91[/tex]