102. Income Tax Suppose that I(x) represents the income of an individual in year x before taxes and T(x) represents the individual's tax bill in year x. Determine a function N that represents the individual's net income (income after taxes) in year x.

Q: 15. Jackson builds legos at a rate of 3 projects per hour. Write a function that represents the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3 situations that could represent functions

A:

Q: 2. A sponsor wants to supplement the budget allotted for each family by providing an additional P1,…

A: A sponsor wants to supplement the budget allocated for each family by providing an additional…

Q: 8. A taxi ride costs P40.00 for the first 500 meters, and each additional 300 meters (or a fraction…

A:

Q: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8%…

A: Initial population in year 2000

Q: The following table gives three functions with the same input. Identify the function g and the…

A: According to the given information, it is required to determine the g(t) and h(t) such that g and h…

Q: 8. Mr. Grabowski, a sales representative, receives a base monthly salary of $5150. He also earns a…

A: Key points :- A base monthly salary of 5150. Commision on the value of product of sells =2.3%.

Q: 13. Cecilia's paycheque increases by $100 every month. What type of relation is this? a. linear b.…

A:

Q: D An amusement park charges $11 for admission. On average, 20,000 people visit the park each day,…

A: Given that, Admission charge=$11 people visited the park on one day =20,000 suppose they increase…

Q: 4) True or False, the following is a function. y 2.

A:

Q: 1- Study the measurability of the functions:

A: Given  Two functions....we must study the measurability of the functions....where p is not…

Q: 1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: 4) The population of frogs has been declining in North Dakota. At one lake, researchers found there…

A:

Q: Proceed as in Example 1. Translate the words into an appropriate function. A wire of length L is cut…

A: A wire of length is cut x units from its left end. The piece of wire of length x is bent into…

Q: The graph on the right shows the remaining life expectancy, E, in years for females of age x. 60-…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 14. Use the curve sketching procedure to analyze the function. а. у-х*+x*-20х

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Suppose that Px represents the percentage of income spent on health care in year xand represents…

A: Given, P(x) represents the percentage of income spent on health in year x. I(x) represents income in…

Q: The total cost C for a manufacturer during a given time period is a function of the number N of…

A: Given that the total cost can be calculated as the sum of fixed cost and the product of the variable…

Q: Suppose that represents the number of violent crimes committed in year x and represents the number…

A: Given thatNumber of violent crimes committed in year xNumber of property crimes committed in year…

Q: 5. When functions are defined by more than one equation, they are called functions.

A: When functions are defined by more than one equation, they are called piece-wise defined functions.

Q: 4. You are the manager of a fast food restaurant that sells hamburgers. The revenue function is…

A: Given: The Revenue function, Rx=xpx, where x represents the number of units, px represents price…

Q: The function f(x) = x – x – 3 is shown on the graph below: 10+ 7- -6 -5 -4 -3 -2 2 3 4 5 6 -4 -5…

A:

Q: 15. The table (supplied by San Diego Gas and Electric) gives the power consumption P in megawatts in…

A: Given: a=0:00b=6:00∆x=30 To find: Amount of energy

Q: The graph in the figure below shows the mean flow F for the Arkansas River, in cubic feet of water…

A:

Q: Suppose that the selling price of a company's primary product is 1600−0.3x dollars per unit when x…

A: Demand function represents the relationship between the quantity demanded for a commodity (dependent…

Q: The average annual expenditures for a country's consumer on dairy products can be approximated by…

A: Given query is to find the average expenditure for the indicated year.

Q: A piece of equipment depreciates according to the function A = Age-044, where t represents the…

A: Given function is A = A০ × e^(-0.44t) From given data Ao = 650000$ A=650000*20/100

Q: 14. A man jogs for 20 minutes at a rate of 6 kph, then walks for 30 minutes at a rate of 3 kph, then…

A: We can find the answer as below.

Q: 7. After declining between 1940 and 1980, the number of multigenerational American households has…

A:

Q: 8. A thermometer reading 20°F is brought into the room where the temperature is 80°F, two minutes…

A:

Q: 16) A sample of bacteria taken from a river has an initial concentration of 2.3 million bacteria per…

A: topic - exponential function

Q: 46 The local electric company uses the following method for computing monthly electric bills for one…

A: We will solve this by the help of definition of function and slope formula

Q: Mia bought a used car for $9,500. It is expected that the value of the car will decrease by an…

A: Initially the value of the car = $9500            [ initially means  x= 0] Decrement in the value of…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

Q: 2. An investment of $100 is placed into an account that earns interest, compounded annually, at a…

A:

Q: The total cost C for a manufacturer during a given time period is a function of the number N of…

A: Given :  a manufacturer of widgets has fixed costs of $7000 per month and that the variable cost is…

Q: A manufacturer of a particular item has monthly fixed costs of ​$700 and variable costs of ​$25 per​…

A: Given: A manufacturer of a particular item has monthly fixed costs of ​$700 and variable costs of…

Q: 6. A certain chocolate bar costs P35.00 per piece. However, if you buy more than 10 pieces, they…

A:

Q: The total cost C for a manufacturer during a given time period is a function of the number N of…

A: Suppose that a manufacturer of widgets has fixed costs of $9000 per month and that the variable cost…

Q: 1. A high end computer shop charges Php 15.00 for the first hour and additional Php 10.00 for every…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. When can you say that the function is an implicit function?

A:

Q: 7. A worker gets $20/hour for a normal work week of 40 hours and time-and-a-half for overtime.…

A:

Q: Suppose that enrolment in CLSU has been increasing over the years since year 2013 according to the…

A: Given query is to find the enroy in 2022.

Q: The graph on the right shows the remaining life expectancy, E, in years for females of age x. 60-…

A: Given that two points. So use the formula and find the average rate of change.. Here answer comes…

Q: 33. A family invested $2,000 into an account that pays 2% interest compounded annually. In the…

A: Given, P = $2000 r = 2% compounded annually

Q: 88. A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: If the usage is less than or equal to 600 minutes.Then charges is (49.95+14.02)=$63.97

Q: The total cost C for a manufacturer during a given time period is a function of the number N of…

A:

Q: Consider the function price = $100 – ($3/yr) x time. The initial value of this function is

A: Answer

Q: A 54 mg of a vaccine is given to a patient to prevent measles.  The vaccine leaves the body at a…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…