a new automobile depreciated 20% of its value after 1 year. if the automobile is priced at $18,000 after 1 year, what was its cost when it was new?
0.8x = 18,000
Solve for x.
What is x?
x = cost when new
how do you put it in a sequence
0.8x = 18,000
x = 18,000/0.8
x = 22,500
Would this be a arithmetic sequence
No. I don't know what a sequence has to do with your original problem.
Please explain.
Can you write it in a sentence
When the car was new, it cost $22,500.
To find the cost of the automobile when it was new, we can use the concept of depreciation. In this case, we know that the automobile has depreciated 20% after 1 year, and its value at that time is $18,000.
To calculate the original cost, we need to use the formula for depreciation:
Original cost = Final value / (1 - Depreciation rate)
In this case, the depreciation rate is 20% or 0.20, and the final value is $18,000. So we can substitute these values into the formula:
Original cost = $18,000 / (1 - 0.20)
Simplifying the equation:
Original cost = $18,000 / 0.80
Original cost = $22,500
Therefore, the cost of the automobile when it was new is $22,500.