6. There are two rival companies, Winner's Inc. and Loser's Co.. Winner's Inc.'s net worth is growing at a rate of t² thousand dollars per month (i.e. t is measured in months). Loser's Co. is operating at a loss, and their net worth is decreasing at a rate of thousand dollars per month (that is, it is given by the function). Winner's Inc. and Loser's Co. both start the year with $10,000 in the bank. A. Plot the two rate of profit functions on the same graph. B. How much money does Winner's Inc. have at the end of 12 months? How much does Loser's Co. have? C. After 12 months, how much more money does Winner's Inc. have than Loser's Co.? What quantity on the graph represents this amount? Indicate this on the graph. D. What does the function f(x) = ft² dt compute? What does g(x) = fdt compute? Construct a function that computes the difference of net worth between Winner's Inc. and Loser's Co. as a function of time.
6. There are two rival companies, Winner's Inc. and Loser's Co.. Winner's Inc.'s net worth is growing at a rate of t² thousand dollars per month (i.e. t is measured in months). Loser's Co. is operating at a loss, and their net worth is decreasing at a rate of thousand dollars per month (that is, it is given by the function). Winner's Inc. and Loser's Co. both start the year with $10,000 in the bank. A. Plot the two rate of profit functions on the same graph. B. How much money does Winner's Inc. have at the end of 12 months? How much does Loser's Co. have? C. After 12 months, how much more money does Winner's Inc. have than Loser's Co.? What quantity on the graph represents this amount? Indicate this on the graph. D. What does the function f(x) = ft² dt compute? What does g(x) = fdt compute? Construct a function that computes the difference of net worth between Winner's Inc. and Loser's Co. as a function of time.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
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Question
Transcribed Image Text:6. There are two rival companies, Winner's Inc. and Loser's Co.. Winner's Inc.'s net worth is growing at a rate of —ƒ² thousand dollars per month (i.e. t is
measured in months). Loser's Co. is operating at a loss, and their net worth is decreasing at a rate of thousand dollars per month (that is, it is given by
the function). Winner's Inc. and Loser's Co. both start the year with $10,000 in the bank.
A. Plot the two rate of profit functions on the same graph.
B. How much money does Winner's Inc. have at the end of 12 months? How much does Loser`s Co. have?
C. After 12 months, how much more money does Winner's Inc. have than Loser's Co.? What quantity on the graph represents this amount? Indicate this
on the graph.
D. What does the function f(x)
=
St² dt compute? What does g(x) = Ső dt compute? Construct a function that computes the difference of
net worth between Winner's Inc. and Loser's Co. as a function of time.
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