Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. Based on a static forecast, how much less revenue will the government collect from Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. a) Based on a static forecast, how much less revenue will the government collect from Ms. Benoit next year? b) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decrease by working more hours and earning $375,000 taxable income? c) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decre

a

b

c

Step-by-step explanation:

From the question we are told that

   The annual taxable income is

   The tax rate for next year is  

   The  present tax rate is  

Generally the present amount of tax collected from Ms Benoit is  

=>      

Generally the  amount of tax collected from Ms Benoit nest year  is

=>              

The  reduction in the tax amount is mathematically represented as

=>    

=>    

Generally the tax amount of next year when the income is  $375,000 is mathematically represented as

=>    

=>    

The  reduction in the tax amount is mathematically represented as when  the income for next year  is  $375,000

=>    

=>    

Generally the tax amount of next year when the income is  $275,000 is mathematically represented as

=>    

=>    

The  reduction in the tax amount is mathematically represented as when  the income for next year  is  $275,000

=>    

=>    

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

3

step-by-step explanation: