HELP FOR 20 POINTS!
For $2021$, the amount of U.S. federal tax owed $T$ is a function of taxable income $d$:
\[T(d) = \begin{cases}
0.1d & \text{if}~d \le 9875, \\
0.12(d-9875) + 987.5 & \text{if}~ 9876 \le d \le 40125, \\
0.22(d-40125) + 4617.5 & \text{if}~ 40126 \le d \le 85525, \\
0.24(d-85525) + 14605.5 & \text{if}~ 85526 \le d \le 163300, \\
0.32(d-163300) + 33271.5 & \text{if}~ 163301 \le d \le 207350, \\
0.35(d-207350) + 47367.5 & \text{if}~ 207351 \le d \le 518400, \\
0.37(d-518400) + 156235 & \text{if}~ d > 518400.
\end{cases}\]
Noam has $\$90000$ in taxable income, and Betty has $\$120000$. How much more tax does Betty pay?
