Your new computer costs $1500 but depreciates in value by 15% each year. To the nearest whole number, how many years will it take for the computer to worth $456? Hint: Plug the values you know into the formula A P (1 – r)' and use inverse operations to solve for t. You will need the change of base formula! The computer will be worth $456 in about type your answer... years.

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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Your new computer costs $1500 but depreciates in value by 15% each year. To the nearest whole number, how many years will it take for the computer to be worth $456?

**Hint:** Plug the values you know into the formula

\[ A = P (1 - r)^t \]

and use inverse operations to solve for \( t \). You will need the change of base formula!

The computer will be worth $456 in about \_\_\_\_\_ years. (type your answer)
Transcribed Image Text:Your new computer costs $1500 but depreciates in value by 15% each year. To the nearest whole number, how many years will it take for the computer to be worth $456? **Hint:** Plug the values you know into the formula \[ A = P (1 - r)^t \] and use inverse operations to solve for \( t \). You will need the change of base formula! The computer will be worth $456 in about \_\_\_\_\_ years. (type your answer)
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