Jane Marko buys a car for 43,900.00. In three years the car depreciates 48% in value. How much is the car worth in three years? A.22828.00
21,072.00 C ,B 22000.00.
D21,950.00 PLEASE ANSWER NOW
The Correct Answer and Explanation is:
To find how much the car is worth after 3 years of 48% depreciation, we first calculate how much value it lost, and then subtract that from the original price.
Step 1: Find the depreciation amount
The car depreciates 48% of its original price:Depreciation=48% of 43,900=0.48×43,900=21,072\text{Depreciation} = 48\% \text{ of } 43,900 = 0.48 \times 43,900 = 21,072Depreciation=48% of 43,900=0.48×43,900=21,072
Step 2: Subtract depreciation from the original price
Value after 3 years=43,900−21,072=22,828\text{Value after 3 years} = 43,900 – 21,072 = 22,828Value after 3 years=43,900−21,072=22,828
Correct Answer: A. 22,828.00
Explanation:
Depreciation refers to the decrease in value of an asset over time. When a person buys a car, it starts losing its value almost immediately due to factors like age, mileage, wear and tear, and market conditions. In this scenario, Jane Marko purchases a car for $43,900.00. Over a period of three years, the car depreciates by 48%, which is almost half of its original value.
To determine how much value the car has lost, we multiply the original value by the depreciation rate:43,900×0.48=21,07243,900 \times 0.48 = 21,07243,900×0.48=21,072
This tells us that the car has lost $21,072.00 in value over three years.
Now, to find the current worth of the car, we subtract the depreciated amount from the original price:43,900−21,072=22,82843,900 – 21,072 = 22,82843,900−21,072=22,828
So, after three years, Jane’s car is worth $22,828.00.
Understanding depreciation is essential when making large purchases, especially vehicles, because it affects resale value. In Jane’s case, the car has significantly dropped in value, which is typical for most cars in their first few years. Choosing vehicles that hold their value better or considering used cars can sometimes be smarter financial decisions.
Hence, the correct answer is:
A. $22,828.00.
