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spaceship depreciates of 7% every year. after traveling for 9 years, you decide to sell for 300000$. what was the original price?

User Nathanael
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8.1k points

2 Answers

4 votes

og price: $494,844.69 :)))))))))))))

User Gal Sosin
by
8.5k points
5 votes

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.

User SemperFi
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8.7k points