Question

40Points? CORRECT answer please

Answer 1

Answer:

f(-2) = 12.5

Step-by-step explanation:

$f(t)=2(0.4)^t$

f(-2) → put t = -2 to the equation of the function:

$f(-2)=2(0.4)^{-2}=2\left(\dfrac{4}{10}\right)^{-2}=2\left(\dfrac{2}{5}\right)^{-2}$

Use $a^{-n}=\left(\dfrac{1}{a}\right)^n$

$f(-2)=2\left(\dfrac{5}{2}\right)^2=2\left(\dfrac{25}{4}\right)=\dfrac{25}{2}=12.5$