Since his regular rate is $11.70 then he earns for his 40 hours:
[tex]11.70\cdot40=468[/tex]To this we have to add the three overtime hours, but this hours are paid as:
[tex]11.70\cdot1.5=17.55[/tex]Then for his overtime he earned:
[tex]3\cdot17.55=52.65[/tex]Therefore he earned in total of $520.65