A car is originally worth \$26\,300 and depreciates by \$2000 per year. Find the value of the car after 3 years.
Glen bought a van for his business 2 years ago. It has a salvage value of \$36\,000 and depreciated at \$3050 each year. How much did Glen pay for the van?
Jack bought a van for his business 13 months ago. It has a salvage value of \$24\,000 and depreciated at \$2240 each year. How much did Jack pay for the van?
A commercial dishwasher was purchased for \$3700 and depreciates at \$700 per year. Its salvage value is \$1600. Calculate the dishwasher’s usable life in years.
A commercial washing machine was purchased for \$4000 and depreciates at \$64 per month. Its salvage value is \$1696. Calculate the washing machine's usable life in years.
A car purchased for \$38\,000 depreciates \$2090 each year. According to the straight line method of depreciation, after how many years is the car worthless? Round your answer to the nearest year.
A pastry making machine is purchased new for \$3700. After 4 years, the book value was \$900. Calculate the annual amount of depreciation.
A car purchased for \$34\,000 depreciates \$615 each quarter. According to the straight line method of depreciation, after how many years is the car worthless? Round your answer to the nearest year.
A pastry making machine is purchased new for \$3700. After 5 years, the book value was \$200. Calculate the monthly depreciation rate, correct to two decimal places.
A 2012 Holden Commodore is priced at \$33\,000 and depreciates by approximately \$4000 per year.
Complete the given table.
Using this depreciation method, state whether the car will ever be worth nothing.
Identify the depreciation method used in the calculations.
| \text{Year} | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| \text{Price } (\$) | 33\,000 |
The spectator attendance at an annual sporting event was recorded for 4 consecutive years from its first year of running: 44\,500, 43\,800, 43\,100, 42\,400
Find the decrease in attendance each year.
If the event attendance continues to decrease at the same annual rate, calculate the expected attendance in its fifth year.
It is estimated that a house purchased for \$254\,500 will depreciate by an average of \$9400 each year. Calculate:
The worth of the house after 1 year.
The expected worth of the house after 6 years.
There were 10\,100 digital sales of a particular song in its first month of release. The number of monthly digital sales decreased by 360 each month after.
The song registered 7580 digital sales in a particular month. State the decrease in the monthly sales from the first month.
State how many months after the initial month of release the song registered 7580 in monthly digital sales.
Production robots to be used in a car manufacturing plant were purchased for \$4\,455\,000. After 5 years, they depreciated to a value of \$4\,385\,000.
Calculate the annual depreciation using the straight line method.
After 7 years, the robots are sold off. If they continue to depreciate at the same annual rate, find the price they can be sold for.
Production robots to be used in a chocolate factory were purchased for \$48\,918.75. After 7 years, they depreciated to a value of \$44\,486.
Calculate the annual depreciation using the straight line method.
After 10 years, the robots are sold off. If they continue to depreciate at the same annual rate, find the price they can be sold for.
The graph shows the depreciation of a car's value, V_n in dollars, after n years:
State the initial value of the car.
State the depreciation of the car each year.
State the number of years when the car's value reaches \$14\,400.
Find the value of the car after 4 years.
A car originally worth \$37\,000 depreciates to \$10\,000 after 3 years.
State the total depreciation of the car.
Write this reduction as a percentage of the original price, correct to two decimal places.
Calculate the average annual amount of depreciation over these 3 years.
A new car costs \$44\,000. It is estimated that the car will depreciate at \$4000 per annum. At the end of the depreciation period, it is estimated that the car could be sold for \$32\,000.
Find the age of the car at the end of the given depreciation period.
Find the annual percentage rate of depreciation for the first year only. Round your answer to two decimal places.
A car was originally valued at \$33\,300 and depreciates by \$3000 per year.
Find the salvage value of the car after 4 years.
Find the percentage of the original value the car worth after 4 years. Round your answer to two decimal places.
Find the percentage of the original value that has been lost after 4 years. Round your answer to two decimal places.
A car is purchased for \$48\,000. After 3 years, it has depreciated to \$39\,000 using the straight line method of depreciation.
How many years after the purchase date will the car be worth \$36\,000?
How many years after the purchase date will the car be worth \$21\,000?
A car is purchased for \$42\,800. After 12 quarters, it has depreciated to \$36\,800 using the straight line method of depreciation.
How many years after the purchase date will the car be worth \$32\,800?
How many years after the purchase date will the car be worth \$24\,800?
Production robots to be used in a car manufacturing plant were purchased for \$4\,053\,000. After 96 months, they depreciated to a value of \$3\,093\,000.
Find the value of the annual depreciation using the straight line method.
If they continue to depreciate at the same rate, determine the value of the robots after 132 months.
Machines to be used in a factory were purchased for \$2\,155\,000. After 4 years, they depreciated to a value of \$1\,723\,000.
Find the monthly depreciation using the straight line method.
After 7 years, the machines are sold off. If they continue to depreciate at a constant rate, how much can they be sold for?
Outcomes
MS11-5
models relevant financial situations using appropriate tools
MS11-6
makes predictions about everyday situations based on simple mathematical models