Respuesta :
Answer:
The correct option is A.
Step-by-step explanation:
The given function is
[tex]F(t)=pe^{rt}[/tex]
It is given that f(3)=191.5 and r =0.03.
Substitute t=3 and r=0.03 in the given function.
[tex]F(3)=pe^{0.03(3)}[/tex]
[tex]F(3)=pe^{0.09}[/tex]
The value of F(3)=191.5. Put F(3)=191.5 in the above equation.
[tex]191.5=p(1.0942)[/tex]
Divide both sides by 1.0942.
[tex]\frac{191.5}{1.0942}=p[/tex]
[tex]175.0137=p[/tex]
[tex]p\approx 175[/tex]
The approximate value of p is 175. Therefore the correct option is A.