A car's value depreciates by 20% each year. If the car's initial value is $25,00

Practice Questions

Q1
A car's value depreciates by 20% each year. If the car's initial value is $25,000, what will be its value after two years?
  1. $15,000
  2. $16,000
  3. $18,000
  4. $20,000

Questions & Step-by-Step Solutions

A car's value depreciates by 20% each year. If the car's initial value is $25,000, what will be its value after two years?
  • Step 1: Start with the initial value of the car, which is $25,000.
  • Step 2: Calculate 20% of $25,000. This is done by multiplying $25,000 by 0.20, which equals $5,000.
  • Step 3: Subtract the $5,000 from the initial value. So, $25,000 - $5,000 = $20,000. This is the value after the first year.
  • Step 4: Now, take the new value of $20,000 and calculate 20% of it. Multiply $20,000 by 0.20, which equals $4,000.
  • Step 5: Subtract the $4,000 from the $20,000. So, $20,000 - $4,000 = $16,000. This is the value after the second year.
  • Depreciation – Understanding how the value of an asset decreases over time, specifically through a percentage reduction each year.
  • Percentage Calculation – Calculating a percentage of a given value and applying it to find the new value after depreciation.
  • Compound Depreciation – Recognizing that depreciation is applied to the new value each year, not the original value.
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