# Math

A certain state taxes the first \$400,000 in property value at a rate of 1%; all value over \$400,000 is taxed at 1.75%. Find a piecewise-defined function T that specifies the total tax on a property valued at x dollars. (Simplify your answer completely.)

0.01x if 0<x<400,000
T(x)= 0.0175x-500 if x>400,000

are my numbers right? (By the way the greater/less than signs are equal to as well)

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1. your first part is correct

for the 2nd part, I would have it as

T(x) = .0175x - 3000 , x ≥ 400,000

(so I have taken 1.75% on the whole thing, but then subtracted the 0.75% part for the first 400,000 which is 3000.
Where did you get your \$500 from ? )

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posted by Reiny

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