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Q1. For , the amount of U.S. federal tax owed  is a function of taxable income :

\[T(d) = \begin{cases}
0.1d & \text{if}~d \le 9875, \\
0.12(d-9875) + 987.5 & \text{if}~ 9876 \le d \le 40125, \\
0.22(d-40125) + 4617.5 & \text{if}~ 40126 \le d \le 85525, \\
0.24(d-85525) + 14605.5 & \text{if}~ 85526 \le d \le 163300, \\
0.32(d-163300) + 33271.5 & \text{if}~ 163301 \le d \le 207350, \\
0.35(d-207350) + 47367.5 & \text{if}~ 207351 \le d \le 518400, \\
0.37(d-518400) + 156235 & \text{if}~ d > 518400.
\end{cases}\]
Noam has  in taxable income, and Betty has . How much more tax does Betty pay?

 

Q2. How many intersections are there between the graphs of f(x) = |x^2 - 4|$  and $g(x) = 2^x$ ? 

 Apr 30, 2023
 #1
avatar+118619 
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Try proof reading your questions. You have left out core info.

 

And only ask one question per post.

 Apr 30, 2023
 #2
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please don't just copy paste problems from another page..

but ill give you a hint for q2. assume equality between the 2 equations, then solve for x and substitute to get y

 Apr 30, 2023

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