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the state income tax where kristin lives is levied at the rate of p\%p% of the first \$ 28000$28000 of annual income plus (p 2)\%(p 2)% of any amount above \$ 28000$28000. kristin noticed that the state income tax she paid amounted to (p 0.25)\%(p 0.25)% of her annual income. what was her annual income?

Respuesta :

Kristin's annual income is $32000.

Let A, and T be Kristin's annual income and the income tax total, respectively.

T = p%×28000+(p+2)%×(A-28000)

= p%×28000+ p%×(A-28000) + 2%×(A-28000)

=p%×A+2%×(A-28000)

According to the question,

T=(p+0.25)%×A=p%×A+0.25%×A

p%×A+2%×(A-28000) = (p+0.25)%×A=p%×A+0.25%×A

2%×(A-28000) = 0.25%×A

A = $32000

To learn more about income tax, interest, and money,

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