Answer:
$626,923.57.
Explanation:
To find the original price of the spaceship, we need to calculate the depreciated value after 9 years.
Since the spaceship depreciates by 7% each year, we can use the formula:
Depreciated Value = Original Price * (1 - Depreciation Rate)^Number of Years
Let's plug in the given values:
Depreciated Value = $300,000
Depreciation Rate = 7%
Number of Years = 9
300,000 = Original Price * (1 - 0.07)^9
To solve for the original price, we need to isolate it on one side of the equation. Let's do the calculations step by step:
1 - 0.07 = 0.93 (decimal form of the depreciation rate)
0.93^9 = 0.4783 (the value after 9 years)
300,000 = Original Price * 0.4783
To isolate the original price, we can divide both sides of the equation by 0.4783:
Original Price = 300,000 / 0.4783
Calculating this gives us an original price of approximately $626,923.57.
Therefore, the original price of the spaceship was around $626,923.57.