At the beginning of 2000 Nick's house was worth 240 thousand dollars and Corey's house was worth 116 thousand dollars. At the beginning of 2003, Nick's house was worth 182 thousand dollars and Corey's house was worth 158 thousand dollars. Assume that the values of both houses vary at an exponential rate. a. Write a function f that determines the value of Nick's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. f(t) 240(.56)^t Preview b. Write a function g that determines the value of Corey's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. g(t) = 116(1.45)^t Preview c. How many years after the beginning of 2000 will Nick's and Corey's house have the same value?

At the beginning of 2000 Nick's house was worth 240 thousand dollars and Corey's house was worth 116 thousand dollars. At the beginning of 2003, Nick's house was worth 182 thousand dollars and Corey's house was worth 158 thousand dollars. Assume that the values of both houses vary at an exponential rate. a. Write a function f that determines the value of Nick's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. f(t) 240(.56)^t Preview b. Write a function g that determines the value of Corey's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. g(t) = 116(1.45)^t Preview c. How many years after the beginning of 2000 will Nick's and Corey's house have the same value?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

At the beginning of 2000 Nick's house was worth 240 thousand dollars and
Corey's house was worth 116 thousand dollars. At the beginning of 2003, Nick's
house was worth 182 thousand dollars and Corey's house was worth 158
thousand dollars. Assume that the values of both houses vary at an exponential
rate.
a. Write a function f that determines the value of Nick's house (in thousands
of dollars) in terms of the number of years t since the beginning of 2000.
f(t) = 240(.56)^t
Preview
b. Write a function g that determines the value of Corey's house (in thousands
of dollars) in terms of the number of years t since the beginning of 2000.
g(t)
116(1.45)^t
Preview
c. How many years after the beginning of 2000 will Nick's and Corey's house
have the same value?
* years
Preview

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