Question

8. Patrice and Don buy a home for $92,000. The property tax rate is$39.50 per $1,000 of assessed value. The assessment rate is 41%.How much is their property tax?9. Find Patrice and Don's effective tax rate. Use the informationin problem 8.

Answer 1

We start by calculating the assessed value, that is 41% of the price.

The price is $92,000.

Then, the assessed value is:

`AV=a\cdot P=(41)/(100)\cdot92000=0.41\cdot92000=37720`

The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:

`\text{tax rate}=(39.50)/(1000)=0.0395`

We then can multiply this rate by the assessed value to calculate the total property tax:

`\text{tax}=0.0395\cdot37720=1489.94`

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.