A new car is purchased for 19700 dollars. The value of the car depreciates at 9.25% per year. To the nearest year, how long will it be until the value of the car is 5500 dollars?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter2: Solving Linear Equations
Section2.2: Use A Problem Solving Strategy
Problem 2.53TI: Eduardo noticed that his new car loan papers stated that with a 7.5% simple interest rate, he would...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A new car is purchased for 19700 dollars. The value of the car depreciates at 9.25%
per year. To the nearest year, how long will it be until the value of the car is 5500
dollars?
Transcribed Image Text:A new car is purchased for 19700 dollars. The value of the car depreciates at 9.25% per year. To the nearest year, how long will it be until the value of the car is 5500 dollars?
Expert Solution
Step 1

Original price of the car = 19,700 dollars

Each year its value depreciates by 9.25%.

Next year its price will be 19,700-19,700×9.25100 or19,700×1-9.25

This way the price of the car will go down until the year the value of the car becomes 5,500.

The equation becomes 5,500 = 19,700×1-.0925x55197=.9075xx=13.1449x13

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell