Answer: $38.80
If we want to know the actual amount [tex]P[/tex] Hannah would pay for the jeans, we have to subtract from the price [tex]p[/tex] that was in the tag the 20% in discount and then add the 5% in taxes:
[tex]P=p-20\%p+5\%p[/tex] (1)
The 20% in discount is:
[tex]45.65(\frac{20}{100})=9.13[/tex] (2)
The 5% in taxes:
[tex]45.65(\frac{5}{100})=2.28[/tex] (3)
Now, we have to substitute both values in (1):
[tex]P=45.65-9.13+2.28[/tex]
Finally:
P=38.80
Therefore the amount Hannah would pay for the jeans is $38.80
