Step 1 :First, we calculate the assessed value of the condo, which is the market value times the assessment rate. The market value is \$275,000 and the assessment rate is 70\%, so the assessed value is \(275,000 \times 0.7 = \$192,500\).
Step 2 :Next, we calculate the annual tax, which is the assessed value divided by 1000, times the tax rate. The assessed value is \$192,500, and the tax rate is \$31.50 per \$1,000. So the annual tax is \(\frac{192,500}{1,000} \times 31.50 = \$6,063.75\).
Step 3 :We then convert this annual tax to a monthly tax by dividing by 12. So the monthly tax is \(\frac{6,063.75}{12} = \$505.31\).
Step 4 :We calculate the monthly return Art wants, which is 12\% of the market value of the condo. The market value is \$275,000, so the monthly return is \(275,000 \times 0.12 = \$2,750\).
Step 5 :Art estimates it will cost \$250 per month to cover general repairs, insurance, and so on. He also pays a \$120 condo fee per month.
Step 6 :Finally, we add up all the monthly costs (tax, return, repairs, condo fee) to get the monthly rent Art should charge. So the monthly rent is \(505.31 + 2,750 + 250 + 120 = \$3,625.31\).
Step 7 :\(\boxed{The monthly rent for Art should be approximately \$3,625.31}\)