1 penny=0.01 dollar
So we can write an equation for this
we know he received triple the number of pennies that he received the day before. and the first day he received 0.01 so:
1st day: 0.01
2nd day: 3*0.01
3rd day: 3*3*0.01
so the equation would be:
[tex](0.01)\cdot3^{x-1}[/tex]
with x=days
so we can replace x= the values of the options and find out which one it's over a million dollars:
[tex]\begin{gathered} A.(0.01)\cdot3^{20-1}=11622614.67 \\ B.(0.01)\cdot3^{19-1}=3874204.89 \\ C.(0.01)\cdot3^{17-1}=430467.21 \\ D.(0.01)\cdot3^{18-1}=1291402.63 \end{gathered}[/tex]
so, since the 18th day Simon has over a million dollars, so the answer is option D
