Answer
The final amount after 25 years of decay is approximately $13$.
Work Step by Step
RECALL:
Exponential decay is represented by the formula
$y=C(1-r)^x$
where
C = initial/original amount
r - decay rate
x = number of time intervals
The given exponential growth has:
C = 207,000
r = $32\%$
x = 25 years
Substitute these values into the given formula above to have:
$y=207,000(1-32\%)^{25}
\\y=207,000(1-0.32)^{25}
\\y=207,000(0.68^{25})
\\y=13.44909815
\\y\approx 13$
