Ask Question
16 May, 21:04

A farmer buys a tractor for $10,000. If the tractor depreciates 10% per year, write an exponential decay function to fin the value of the tractor in 7 years.

+5
Answers (1)
  1. 17 May, 00:25
    0
    F = P (1 - x) ^n

    F = 10,000 (1 - 0.1) ^7

    F = 10,000 (0.9) ^7

    F = $4,783

    The value of the tractor in 7 years is $4,783

    Step-by-step explanation:

    Applying the exponential depreciation equation;

    F = P (1 - x) ^n

    Where;

    F = final value after n years

    P = initial value

    x = depreciation rate (fraction)

    n = time

    Given;

    P = $10,000

    x = 10% = 0.10

    n = 7 years

    Substituting the given values;

    F = 10,000 (1 - 0.1) ^7

    F = 10,000 (0.9) ^7

    F = 4782.969

    F = $4,783

    The value of the tractor in 7 years is $4,783
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A farmer buys a tractor for $10,000. If the tractor depreciates 10% per year, write an exponential decay function to fin the value of the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers