Mathematics, 10.10.2019 19:00 jcblake
On august 2nd, 1988, a us district court judge imposed a fine on the city of yonkers, new york, for defying a federal court order involving housing desegregation.
suppose the city of yonkers is offered two alternative fines by the judge.
(i) penalty a: 1 million dollars on august 2 and the fine increases by 10 million dollars each day thereafter.
(ii) penalty b: 1 cent on august 2 and the fine doubles each day thereafter.
(a) if t represents the number of days after august 2, express the fine incurred as a function of t under
penalty a:
a(t)= dollars
penalty b:
b(t)= dollars
(b) assuming your formulas in part (a) hold for t≥0, is there a time such that the fines incurred under both penalties are equal?
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