Answer
$y=100(0.905)^t$
Work Step by Step
Initial value $a=\$100$
Rate of decay $r=9.5\%=0.095$
The exponential decay function is
$\Rightarrow y=a(1-r)^t$
Substitute $100$ for $a$ and $0.095$ for $r$.
$\Rightarrow y=100(1-0.095)^t$
Simplify.
$\Rightarrow y=100(0.905)^t$.
