From 2005 through 2010, an Internet sales company was hiring new employees at a rate ofn(x) =588+ 122 new employees per yearwhere x represents the number of years since 2004. By 2010, the company had hired 996 employees.(a) Write the function that gives the number of employees who had been hired by the xth year since 2004. (Round any coefficients to three decimal places.)N(x) =employees(b) For what years will the function in part (a) apply?The function in part (a) applies from x =through x =(c) Calculate the total number of employees the company had hired between 2005 and 2010. (Round your answer to the nearest whole number.)employeesWould this figure necessarily be the same as the number of employees the company had at the end of 2010? Explain.If any employees were fired or quit between 2005 and 2010, an estimate of the number of employees hiredSelect--- v represent the number of employees at the end of 2010.Need Help?Read It

Answered: From 2005 through 2010, an Internet…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Suppose that the selling price of a company's primary product is 1600−0.3x dollars per unit when x units are sold every week. (a) Write a formula for the total revenue as a function of x. R(x)= dollars per week (b) Suppose further that the product has fixed costs of 300 dollars and each units costs 0.7x+1420 dollars per unit to produce, where x is the number of units produced every week. Write a formula for the total cost as a function of x. C(x)= dollars per week (c) Find the break-even points. Round each value to at least three decimal places. The larger quantity at which break-even occurs is units per week, with corresponding revenue of dollars per week. The smaller quantity at which break-even occurs is units per week, with corresponding revenue of dollars per week. (d) Write a formula for the profit function. Recall that profit is the difference between revenue and cost. Profit: dollars per week (e) What price will maximize profit? Price: dollars per unit
The amount of money (in trillions of dollars) that is invested in passively managed mutual funds can be approximated by the function A(x) = 0.34(1.15), where x = 1 corresponds to the year 2001. (a) What was the amount of money in passively managed mutual funds in 2014 and 2016? (b) If the trend continues, what is the first full year when the amount of passively managed mutual funds exceeds $7.3 trillion? (a) Which of the following describes how to find amount of money in passively managed mutual funds in 2014 using the given information? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal.) O A. To find the amount of money in passively managed mutual funds in 2014, find the intersection point of the graphs y = 0.34(1.15)* and y= The amount of money in passively managed mutu funds in 2014 is represented by the y-coordinate. O B. To find the amount of money in passively managed mutual funds in 2014, substitute for x and…
The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function f(x) = 0.223(1.25), where x = 5 corresponds to the Find the first full year in which the foreign earnings kept overseas exceeds the following amounts. year 2005 (a) $1.3 trillion (b) $2.4 trillion ... (a) The first full year in which the foreign earnings kept overseas exceeds $1.3 trillion is (Type a whole number.) (b) The first full year in which the foreign earnings kept overseas exceeds $2.4 trillion is (Type a whole number.)
the snake was introduced into Guam. and has been preying on the native bird population for years. Assume there were 8 snakes introduced to the island and every year the population tritles. Write a function, f(x),to model the number of snakes based on years, x, since they were introduc
Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 25 cm long. cm
A certain city's population has been in decline since 2010, at which time its population was 100,000. If the population has been decreasing by 4200 people every year, write a function to model the situation with t being the number of years since 2010.
The number of pet dogs in the United States can be represented as p(t) million where t is the number of years since 2003.† (a) Write a sentence of interpretation for p(0) = 65.2. In the year , there were million pet dogs in the United States. (b) Write the function notation for the statement "There were 66.9 million pet dogs in the United States in 2009." p( )= ?
In 2000, the value of a home is 150,000.00 dollars. Its value has been increasing 5% per year. If this rate continues indefinitely, write an equation, in function notation, to represent the value of the home as a function of time, t, in years since 2000
The function A = Age -0.00693x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 400 pounds of the material are placed in the vault, how much time will need to pass for only 115 pounds to remain? Round to nearest whole number. O A. 190 years O B. 360 years O C. 185 years O D. 180 years
What is the value of the constant "k" for this function?
The sales of Spicheesy Nachos at the local grocery store are currently 3,200 bags per month. Since Twisty Cheese Sticks were introduced, sales of Spicheesy Nachos had been declining by 48 bags per month. Twisty Cheese Sticks currently sell 1,400 bags per month and it sales are increasing by 62 bags per month. Part A: Write expressions for f(x) and g(x) that represent each products sales. Part B: what is the solution to the system? Part C: what does the solution represent?
Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 30 cm long. cm

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