The total cost C (in dollars) of purchasing and maintaining a piece of equipment for x years is represented by the following.X.C(x) :6000 36 + 2Jo(a) Perform the integration to write C as a function of x.C(x) =(b) Find C(1), C(5), and C(10). (Round your answers to the nearest whole number.)C(1) = $C(5) = $C(10)= $

Answered: The total cost C (in dollars) of…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.CR: Chapter Review

Problem 89E

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A creative group of students produces a reality television show that features aspects of college and dorm live. Once the show begins airing on the university's public access cable channel, the function shown below represents the number of weeks that pass until x percent of the campus is watching the show. Compute w(50), to one decimal place, and interpret the results in the context of this problem. wx=(x+125)1/3 A.It will be about until 6 weeks until 50 percent of the campus is watching the show. B.It will be about 5.6 weeks until about 50 percent of the campus is watching the show. C.It will be about 5.7 weeks until about 60 percent of the campus is watching the show. D.It will be about 5.5 weeks until about 50 percent of the campus is watching the show.
The dollar cost of producing x bagels is C(x) = 300 + 0.25x – 0.6(- 1000 Determine the cost of producing 3000 bagels. (Use decimal notation. Give your answer to one decimal place.) C(3000) = $ %3D Estimate the cost of the 3001st bagel. (Use decimal notation. Give your answer to three decimal places.)
Use the information to answer the following questions. Kylian is fighting an ear infection. His doctor prescribed a nasal spray and an antibiotic to fight the infection. The active ingredients, in milligrams, remaining in the bloodstream from the nasal spray, n(t), and the antibiotic, a(t), are modeled in the functions shown, where tis the time in hours since the medications were taken. n(t} = + t+9 19 t+7 ピ+9t+14 7 a (t) = t+2 Which of the following statements in TRUE? O The initial amount of a(t) is greater than the initial amount of n(t). OThe initial amount of n(t) is greater than the initial amount of a(t). OThe initial amount of n(t) and a(t) cannot be determined. The initial amount of n(t) and a(t) are equal.
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes at the sanctuary. Each year 4 more snakes are born. Part A: Write functions to represent the numbers of parrots and snakes at the sanctuary throughout the years. Part B: How many parrots are at the sanctuary after 10 years? How many snakes are at the sanctuary after the same number of years? Assume there are no deaths to the animals during this time. Part C: After approximately how many years is the number of parrots and snakes the same? Justify your answer mathematically. Solve it accurately. Thank you
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes at the sanctuary. Each year 4 more snakes are born. Part A: Write functions to represent the numbers of parrots and snakes at the sanctuary throughout the years. Part B: How many parrots are at the sanctuary after 10 years? How many snakes are at the sanctuary after the same number of years? Assume there are no deaths to the animals during this time. Part C: After approximately how many years is the number of parrots and snakes the same? Justify your answer mathematically.
Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total cost can then be defined by the function C(x)=800+60x, where represents the number of months you own the phone. The average monthly cost will depend on how many months you own the phone and can be found with the function A(x) = (800+60x)/x. 1. How long will it take for the average monthly cost to be $70?
A construction crew needs to pave a road that is 209 miles long. The crew paves 9 miles of the road each day. The length, L (in miles), that is left after d days is given by the function L(d)= 209-9d answer the following questions (a) If 128 miles of the road is left to be paved, how many days has the crew been paving the road? (b) How many miles of the road does the crew have left to pave after 11 days?
A railroad crew can lay 6 miles of track each day. They need to lay 174 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function. L (d)= 174– 6d Answer the following questions. (a) How many miles of track does the crew have left to lay after 17 days? miles (b) How many days will it take the crew to lay all the track? I days
Engr. Moncada is playing tennis. She hit the ball into the air at a certain height in meters given by the equation h(t)=-24t^2+120t, where t is the number of seconds elapsed since the ball was hit. How long does it take for the ball to hit the ground?* O O seconds 6 seconds 5 seconds O 3 seconds O 4 seconds
Graph the functions = (x + 2)3/2 + 1

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