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We start by calculating the assessed value, that is 41% of the price.
The price is $92,000.
Then, the assessed value is:
The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:
We then can multiply this rate by the assessed value to calculate the total property tax:
NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.
Answer: the property tax is $1,489.94.
Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal
- divide the whole equation be coefficient of
, this will give
- add
to both side of equality
- Make one fraction on the right side and compress the expression on the left side
- rearrange the terms will give the vertex form of standard quadratic equation
Follow the above procedure will give the vertex form.
(NOTE : you must know that . Use this equation in transforming the equation from step 3 to step 4)