Question 779483
Q:
Suppose that in any given year, the number of cases of a disease is reduced by 20%. If there are 10000 cases today, how many years will it take to reduce the number of cases to 1000? Be sure to write the exponential equation used. 
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A:
{{{A(t) = a[0](1 - r)^t}}}
{{{1000 = 10000(1 - 0.2)^t}}}
{{{0.8^t = 0.1}}}
{{{t = log(0.8, 0.1)}}} ≈ 10.31885 years