Suppose that a state\'s tax code states that tax liability is 13 % on the first
ID: 3343243 • Letter: S
Question
Suppose that a state's tax code states that tax liability is 13% on the first $21000 of taxable earnings and 17% on the remainder. Find the constants a and b in the tax function T(x)T(x)=[a+0.13x if x<=$21000 a+0.17(x-21000) if x>$21000
such that the lim as x approaches 0+ T(x)=0 and lim as x appoaches 21000 T(x) exists.
Suppose that a state's tax code states that tax liability is 13% on the first $21000 of taxable earnings and 17% on the remainder. Find the constants a and b in the tax function T(x)
T(x)=[a+0.13x if x<=$21000 a+0.17(x-21000) if x>$21000
such that the lim as x approaches 0+ T(x)=0 and lim as x appoaches 21000 T(x) exists. Suppose that a state's tax code states that tax liability is 13% on the first $21000 of taxable earnings and 17% on the remainder. Find the constants a and b in the tax function T(x)
T(x)=[a+0.13x if x<=$21000 a+0.17(x-21000) if x>$21000
such that the lim as x approaches 0+ T(x)=0 and lim as x appoaches 21000 T(x) exists.
Explanation / Answer
At lim x approaches to 0
Left hand Limit
limT(0-)= a
Right hand Limit
limT(0+)=a
Left hand Limit = Right hand Limit
It exists
At lim x approaches to 2100
Left hand Limit
limT(2100-)= a + 273
Left hand Limit
limT(2100+)=a
Left hand Limit is not equal to Right hand Limit
it does not exist.
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