Math

posted by .

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 after 5 years? (I already found the answer to this: 10.95%)

b) Write V as a function of r (Help me answer this part!)

Thank you!

  • Math -

    (V/50,000)^(1/5) = 1-r

    V/50,000 = (1-r)^5

    V = 50,000 (1-r)^5

  • Math -

    What did you do with the exponent?

  • Math -

    how do you do part a?

  • Math -

    Steph, I raised both sides of the equation to the fifth power.

  • Math -

    Anonymous

    r = 1 - (28/50)^.2
    = 1 - .56^.2
    = 1 - .89
    = .1095 or 10.95%

  • Math -

    Thank you!!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Business Math

    (DEPRECIATION SCHEDULE E) E.Office furniture for a set of executive suites costs $12,000.00 and should be replaced after 5-years. The salvage value is $3,000. Prepare a depreciation schedule using a double-declining balance rate for …
  2. 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). …
  3. Accounting

    The company’s fiscal year ends on December 31. Using the following information, compute depreciation for this machine for each of the 4 years using each of the following methods: Straight-line method Sum-of-years method Double-declining …
  4. 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 …
  5. more logarithms help!

    the depreciated value, V, of a car can be calculated using V = C91-r)^n, where C is the original value, r is the rate of depreciation per yeat and n is the age of the car in years. how long would it take for a $24,000 car to be reduced …
  6. math

    John bought a new car for shilling 800,000. After 5 years, he sold it through a second-hand car dealer. The dealer charged a commission of 4% for the sale of the car. If John received shillings 480,000, calculate the annual rate of …
  7. Algebra

    The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. A car was purchased 6 years ago for $25,000. If the annual depreciation …
  8. Algebra

    An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The …
  9. College Algebra

    A cars value is declining exponentially. The car is currently 3 years old and has a value of 18,000. The car sold for 26,000 brand new. Find the rate at which the value of the car is decreasing. So far my equation is 18,000=26,000 …
  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