Answer
Initial amount $a=1250$
Rate of decay $r=13.5\%$
At $t=3,h(3)\approx809.0$
Work Step by Step
The given expression is
$\Rightarrow h(t)=1250(0.865)^t$
$\Rightarrow h(t)=1250(1-0.135)^t$
The standard form of an exponential decay function is
$y=a(1-r)^t$
Initial amount $a=1250$
Rate of decay $r=0.135=13.5\%$
Substitute $3$ for $t$.
$\Rightarrow h(3)=1250(0.865)^3$
Evaluate the power.
$\Rightarrow h(3)=1250(0.647214625)$
Simplify.
$\Rightarrow h(3)=809.01828125$
Round to the nearest tenth.
$\Rightarrow h(3)\approx 809.0$
