Suppose $y$, the number of cases of a disease, is reduced by 6% per year.

(a) If there are initially 10,000 cases, express $y$ as a function of $t$, the number of years elapsed.
$y =$ (do not enter any commas in your formula)

(b) How many cases will there be 6 years from now?
cases.

(c) How long does it take to reduce the number of cases to 1000?
years