Math..urgent.pls help!:(

posted by .

A Volkswagon Beetle convertible sedan is worth $16,615 now and is expected to be worth $8950 in 4 years.
a) find a linear depreciation function for this car.
b) estimate the value of the car 5 years from now
c.) at what rate is the car depreciating?


thanks in advance people!

  • Math..urgent.pls help!:( -

    let the rate of depreciation be r
    8950 = 16615(1+r)^4
    .5386699 = (1+r)^4
    take 4th root
    .8567 = 1+r
    r = -.1432

    so the annual rate of depreciation is 14.32%

    in 5 years
    value = 16615(1-.1432)^5 = 7667

  • Math..urgent.pls help!:( -

    thank you for the help!!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The value of a car decreases at a constant rate as it grows older. When the car is 2 years old, it is worth $23,000. When the car is 5 years old it is worth $15,500. Write and equation relating y (value of the car $) to x (age of car). …
  2. math

    you purchase an suv for $26,000. A year later the car is worth only $24,800. If the value of the car continues to depreciate at that rate, a. find the linear equation that determines the value of the car based on the number of years …
  3. Math

    The depreciation rate, r, for a $50,000 news car is given by the function r = 1 - (V/50,000)^(1/5), where V is the value of the car when it is five years old. a) What is the depreciation rate for a $50,000 BMW that is worth $28,000 …
  4. Math

    A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4 years. IF you bought a car 8 years ago, and it's now worth $5,000, how much did you pay for the car originally?
  5. Algebra

    Three years after purchase, a car is estimated to be worth $24,000. At five years, its value is $19,000. If the car is depreciating in a linear manner, write an equation that represents the depreciation of the car. Answer the following …
  6. Math

    A company replaces their cars every 6 years. A car is worth $13520 after 2 years. The company uses a depreciation rate of 35% a year. a) How much will the car be worth when the company replaces it?
  7. algebra

    Jimmy bought a car in January of 2010 worth $25, 500. He submitted the car for valuation in January 2015 and was told that its worth is now $20, 450. Assuming that the depreciation is linear. a) Find the rate at which the car is decreasing …
  8. maths

    a car depreciates at rate of 10%per year. the car cost £20000 new. (a) explain why the car wont be worth £16000 after 2 years (b) show that the car will be worth £16200 after 2 years and find the value of the car after 3 years (c) …
  9. math

    The value of a car decreases at a constant rate as it grows older. When the car is 2 years old, it is worth $23,000. When the car is 5 years old it is worth $15,500. Write and equation relating y (value of the car $) to x (age of car).
  10. Math

    A new car is purchased for $15,000. In 10 years the same car has a scrap value of $1000.00. The rate of depreciation of its value is constant each year. A determine an equation in the form y=mx+b to represent this situation B how much …

More Similar Questions