Answer:
f(-2) = 12.5
Step-by-step explanation:
[tex]f(t)=2(0.4)^t[/tex]
f(-2) → put t = -2 to the equation of the function:
[tex]f(-2)=2(0.4)^{-2}=2\left(\dfrac{4}{10}\right)^{-2}=2\left(\dfrac{2}{5}\right)^{-2}[/tex]
Use [tex]a^{-n}=\left(\dfrac{1}{a}\right)^n[/tex]
[tex]f(-2)=2\left(\dfrac{5}{2}\right)^2=2\left(\dfrac{25}{4}\right)=\dfrac{25}{2}=12.5[/tex]
