Marian is itemizing deductions on her federal income tax return and had $1500 in non-reimbursed work expenses last year. if her agi was $46,000, and if non-reimbursed work expenses are deductible to the extent that they exceed 2 % of a taxpayer's agi, how much can marian deduct for non- reimbursed work expenses? a: $30 b: $580 c: $920 d: $1470

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral: