Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by19% per year. The function that models its value over time isV(x) = 31950(0.81)*, where V is the value of the boat after x years.a) What is the value of the boat after 4 years?b) When will the boat be worth less than $10 000?c) Another boat made by a different company that costs $31 950, depreciates at afaster rate. If its value after 5 years is $8500, what is the rate of depreciation?

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Answered: Jeremy purchases a boat for the price…

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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Similar questions

How do you use a formula to express a record time (63.2 seconds) as a function since 1950? (t=time in years since 1950 and R = record time in seconds. The record time decreases every year by 0.4 seconds).
During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)
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The yearly profit, "P" of your store can be estimated by the function P(n)=15n-45,000 where "n" is the number of items you sell per year, and P is measured in dollars. A) what is your estimated profit if you sell 5,280 items this year? B) Estimate the number of items you must sell to make $150,000 profit? C) Estimate the number of items you must sell to break even ($0 profit)
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