In a certain country, income tax is assessed as follows.There is no tax on income up to $10,000. Any income over$10,000 is taxed at a rate of 10%, up to an income of$20,000. Any income over $20,000 is taxed at 15%.(a) Sketch the graph of the tax rate as a function of theincome .(b) How much tax is assessed on an income of $14,000?On $26,000?(c) Sketch the graph of the total assessed tax as a functionof the income .

In a certain country, income tax is assessed as follows.There is no tax on income up to $10,000. Any income over$10,000 is taxed at a rate of 10%, up to an income of$20,000. Any income over $20,000 is taxed at 15%.(a) Sketch the graph of the tax rate as a function of theincome .(b) How much tax is assessed on an income of $14,000?On $26,000?(c) Sketch the graph of the total assessed tax as a functionof the income .

Name: In a certain country, income tax is assessed as follows.There is no ta
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: In a certain country, income tax is assessed as follows.There is no tax on income up to $10,000. Any income over$10,000 is taxed at a rate of 10%, up to an income of$20,000. Any income over $20,000 is taxed at 15%.(a) Sketch the graph of the tax rate

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 88E

See similar textbooks

Similar questions

Table 3 gives the annual sales (in millions of dollars) of a product from 1998 to 20006. What was the average rate of change of annual sales (a) between 2001 and 2002, and (b) between 2001 and 2004?
In a certain country, income tax is assessed as follows. There is no tax on income up to $10,000. Any incomeover $10,000 is taxed at a rate of 10%, up to an income of $20,000. Any income over $20,000 is taxed at 15%.a) Sketch the graph of the tax rate R as a function of the income I.b) How much tax is assessed on an income of $14,000? On $26,000?c) Sketch the graph of the total assessed tax T as a function of the income I
A manufacturer of a particular item has monthly fixed costs of $700 and variable costs of $25 per item, and it sells the items for $45 per item. a. Write a function that models the monthly profit P from the production and sale of x units of the item. b. What is the profit if 170 items are produced and sold in 1 month? c. At what rate does the profit grow as the number of items increases?
A manufacturer of a particular item has monthly fixed costs ofm$400 and variable costs of $15 per item, and it sells the items for$25 per item. a. Write a function that models the monthly profit P from the production and sale of x units of the item. b. What is the profit if 150 items are produced and sold in 1 month? c. At what rate does the profit grow as the number of items increases? The function that models the monthly profit P from the production and sale of x units of the item is P=___ Simplify your answer. Do not factor
The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p, in dollars, that it charges. If the revenue R, in dollars, is R(p) = - 1/2 p2 + 1900p (a) At what prices p is revenue zero?(b) For what range of prices will revenue exceed $1,200,000?
Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 4,000 and P'(1,000) = −1, what do these values tell you about the profit? P(1,000) represents the profit on the sale of? Blu-ray discs. P(1,000) = 4,000, so the profit on the sale of? Blu-ray discs is $? P'(x) represents the rate of change of the profit marginal revenue profit marginal cost as a function of x. P'(1,000) = −1, so the profit is decreasing at the rate of $ ? per additional Blu-ray disc sold.
The monthly cost for household water is computed based on the amount of water used in thousand gallons: kgals. A local water company charges a monthly service fee of $20 and then charges $1.25 for each kgal of water used up to 10 kgals. To discourage excessive use, each kgal of water beyond 10 kgals is charged at rate of $2.75 per kgal. a) Write a piecewise defined function for the monthly cost of household water, C, in terms of the amount of water used, x kgal. b) Using your model, determine the monthly water bill if 9 kgals of water is used by a household. c) Using your model, determine the monthly water bill if 14 kgals of water is used by a household. d) If a monthly water bill was $75, how much water did this household use (according to your model)? Be precise! Your answer should be accurate to 3 decimal places.
Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 7,000 and P'(1,000) = −8, what do these values tell you about the profit? P(1,000) represents the profit on the sale of _____________Blu-ray discs. P(1,000) = 7,000, so the profit on the sale of _______________ Blu-ray discs is _______________$ . P'(x) represents the rate of change of the profit as a function of x. P'(1,000) = −8, so the profit is decreasing at the rate of $_____________ per additional Blu-ray disc sold.
Suppose that a computer software company produces and sells a new operating system at a cost of $55 per copy, and the company has fixed costs of $15,000 per month. Express the total monthly cost as a function of the number of copies sold, x, and compute the cost when x = 1000.
A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length h ft is to be built. If fencing costs $5 > ft for the legs and $10 > ft for the hypotenuse, write the total cost C of construction as a function of h.