Bao bought a pair of shoes online for $46. She used a coupon code to get a 30% discount. The website also applied a 20% processing fee to the price after the discount. How much did Bao pay, in the end? Round to the nearest cent.
The discount Bao received is 46 * 0.30 = $<<46*0.30=13.80>>13.80.
So the shoes cost 46 – 13.80 = $<<46-13.80=32.20>>32.20 after the discount.
The processing fee on $32.20 is 32.20 * 0.20 = $<<32.20*0.20=6.44>>6.44.
Bao paid a total of 32.20 + 6.44 = $<<32.20+6.44=38.64>>38.64 in the end. Answer: \boxed{38.64}.