depreciation | MathCelebrity Forum

depreciation

  1. math_celebrity

    Jacob bought a car that loses 10% of its value each year. If the original cost of the car is n dolla

    Jacob bought a car that loses 10% of its value each year. If the original cost of the car is n dollars, what is its value after 3 years? Year 1: 0.9*n = 0.9n Year 2: 0.9 * 0.9n = 0.81n Year 3: 0.9 * 0.81n = 0.729n
  2. math_celebrity

    A new car worth $30,000 is depreciating in value by $3,000 per year. After how many years will the c

    A new car worth $30,000 is depreciating in value by $3,000 per year. After how many years will the cars value be $9,000 Step 1, the question asks for Book Value. Let y be the number of years since purchase. We setup an equation B(y) which is the Book Value at time y. B(y) = Sale Price -...
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    A $654,000 property is depreciated for tax purposes by its owner with the straight-line depreciation

    A $654,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building, y, after x months of use is given by y = 654,000 − 1800x dollars. After how many months will the value of the building be $409,200? We want to know x for the...
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    Farmer Yumi has too many plants in her garden. If she starts out with 150 plants and is losing them

    Farmer Yumi has too many plants in her garden. If she starts out with 150 plants and is losing them at a rate of 4% each day, how long will it take for her to have 20 plants left? Round UP to the nearest day. We set up the function P(d) where d is the number of days sine she started losing...
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    A car worth $43,000 brand new, depreciates at a rate of $2000 per year. What is the formula that des

    A car worth $43,000 brand new, depreciates at a rate of $2000 per year. What is the formula that describes the relationship between the value of the car (C) and the time after it has been purchased (t)? Let t be the number of years since purchase. Depreciation means the value decreases, so we...
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    A car’s purchase price is $24,000. At the end of each year, the value of the car is three-quarters o

    A car’s purchase price is $24,000. At the end of each year, the value of the car is three-quarters of the value at the beginning of the year. Write the first four terms of the sequence of the car’s value at the end of each year. three-quarters means 3/4 or 0.75. So we have the following...
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    a car is worth 24000 and it depreciates 3000 a year how long till it costs 9000

    a car is worth 24000 and it depreciates 3000 a year how long till it costs 9000 Let y be the number of years. We want to know y when: 24000 - 3000y = 9000 Typing this equation into our search engine, we get: y = 5
  8. math_celebrity

    A new car worth $24,000 is depreciating in value by $3,000 per year , how many years till the cars v

    A new car worth $24,000 is depreciating in value by $3,000 per year , how many years till the cars value will be $9,000 We have a flat rate depreciation each year. Set up the function D(t) where t is the number of years of depreciation: D(t) = 24000 - 3000t The problem asks for the time (t)...
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    a machine has a first cost of 13000 an estimated life of 15 years and an estimated salvage value of

    a machine has a first cost of 13000 an estimated life of 15 years and an estimated salvage value of 1000.what is the book value at the end of 9 years? Using our straight line depreciation calculator, we get a book value at time 9, B9 of: 5,800
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    Jack bought a car for $17,500. The car loses $750 in value each year. Which equation represents the

    Jack bought a car for $17,500. The car loses $750 in value each year. Which equation represents the situation? Let y be the number of years since Jack bought the car. We have a Book value B(y): B(y) = 17500 - 750y
  11. math_celebrity

    A car is purchased for 27,000$. After each year the resale value decreases by 20%. What will the res

    A car is purchased for 27,000$. After each year the resale value decreases by 20%. What will the resale value be after 3 years? If it decreases by 20%, it holds 100% - 20% = 80% of the value each year. So we have an equation R(t) where t is the time after purchase: R(t) = 27,000 * (0.8)^t The...
  12. math_celebrity

    a computer is purchased for 800 and each year the resale value decreases by 25% what will be the res

    a computer is purchased for 800 and each year the resale value decreases by 25% what will be the resale value after 4 years Let the resale in year y be R(y). We have: R(y) = 800 * (1 - 0.25)^y R(y) = 800 * (0.75)^y The problem asks for R(4): R(4) = 800 * (0.75)^4 R(4) = 800 * 0.31640625 R(4) =...
  13. math_celebrity

    A boat costs 14950 and decrease in value by 7% per year how much will the boat be worth after 8 yea

    A boat costs 14950 and decrease in value by 7% per year how much will the boat be worth after 8 years? If a boat decreases in value 7% in value, then our new value each year is 100% - 7% = 93%. So we have a B(y) function where B(y) is the value of the boat after y years: B(y) = 14,950 * (1 -...
  14. math_celebrity

    A car is purchased for $19000. After each year, the resale value decreases by 30% . What will the re

    A car is purchased for $19000. After each year, the resale value decreases by 30% . What will the resale value be after 4 years? Set up a book value function B(t) where t is the number of years after purchase date. If an asset decreases by 30%, we subtract it from the original 100% of the...
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    Penny bought a new car for $25,000. The value of the car has decreased in value at rate of 3% each

    Penny bought a new car for $25,000. The value of the car has decreased in value at rate of 3% each year since. Let x = the number of years since 2010 and y = the value of the car. What will the value of the car be in 2020? Write the equation, using the variables above, that represents this...
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    The value of a company van is $15,000 and decreased at a rate of 4% each year. Approximate how much

    The value of a company van is $15,000 and decreased at a rate of 4% each year. Approximate how much the van will be worth in 7 years. Each year, the van is worth 100% - 4% = 96%, or 0.96. We have the Book value equation: B(t) = 15000(0.96)^t where t is the time in years from now. The problem...
  17. math_celebrity

    You purchase a new car for $35,000. The value of the car depreciates at a rate of 8.5% per year. If

    You purchase a new car for $35,000. The value of the car depreciates at a rate of 8.5% per year. If the rate of decrease continues, what is the value of your car in 5 years? Set up the depreciation function D(t), where t is the time in years from purchase. We have: D(t) = 35,000(1 - 0.085)^t...
  18. math_celebrity

    Today a car is valued at $42000. the value is expected to decrease at a rate of 8% each year. what i

    Today a car is valued at $42000. the value is expected to decrease at a rate of 8% each year. what is the value of the car expected to be 6 years from now. Depreciation at 8% per year means it retains (100% - 8%) = 92% of it's value. We set up our depreciation function D(t), where t is the...
  19. math_celebrity

    A vehicle purchased for $25,000 depreciates at a constant rate of 5%. Determine the approximate valu

    A vehicle purchased for $25,000 depreciates at a constant rate of 5%. Determine the approximate value of the vehicle 11 years after purchase. Round to the nearest whole dollar. Depreciation at 5% means it retains 95% of the value. Set up the depreciation equation to get Book Value B(t) at time...
  20. math_celebrity

    Suppose that you have just purchased a car for $40,000. Historically, the car depreciates by 8% each

    Suppose that you have just purchased a car for $40,000. Historically, the car depreciates by 8% each year, so that next year the car is worth $40000(.92). What will the value of the car be after you have owned it for three years? Book Value B(t) at time t is B(t) = 40,000(1-0.08)^t or B(t) =...
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