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I’m just answering for points

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:    

At 8.5% i am making after one year 1,500   +  1,500 x 0.08 = $1,620

my credit card cost 1,600 + 1,600 x 0.19 = $1,904


total balance =  interest  (negative)  of credit card + interest earn (positive)

that is  -304 + 120 = -$181