Respuesta :

Answer:

$81679.24

Step-by-step explanation:

Given:

- The value of a piece of land has decreased by 9%.

-  It used to be worth $89,757.4.

What is it worth now?

9% = 0.09

We take

89757.4 - (0.09 · 89757.4) = $81679.24

So, the land is now worth $81679.24.

Final answer:

The value of the land after a 9% decrease from $89,757.4 is $81,679.234. This was calculated by finding 9% of the original value and subtracting it from the original value.

Explanation:

The student asked about the current value of a piece of land after a decrease of 9% from its original value of $89,757.4. To find the new value, we perform a straightforward calculation: we subtract 9% of the original value ($89,757.4) from the original value itself. Let's calculate the 9% decrease first:

Decrease = 9% of $89,757.4

Decrease = 0.09 × $89,757.4

Decrease = $8,078.166

Now, subtract the decrease from the original value to get the new value:

New Value = Original Value - Decrease

New Value = $89,757.4 - $8,078.166

New Value = $81,679.234

The new value of the land after the 9% decrease is therefore $81,679.234.