The amount before tax is given to be $45.
The tax rate is 6.5%. This amount can be calculated to be:
[tex]\Rightarrow\frac{6.5}{100}\times45=2.925[/tex]The tip was 20%. This amount can be calculated to be:
[tex]\Rightarrow\frac{20}{100}\times45=9[/tex]Therefore, the total amount spent will be:
[tex]\Rightarrow45+2.925+9=56.925[/tex]Hence, the change left from $100 will be:
[tex]\Rightarrow100-56.925=43.075[/tex]Therefore, the change will be $43.08.