furniture rental costs 10% of the value of the furniture per month, and is subject to 8.25% sales tax…

furniture rental costs 10% of the value of the furniture per month, and is subject to 8.25% sales tax. calculate the total cost to rent the equipment shown in the table for 3 months.\n\nfurniture rental\n| item | value, per piece |\n|--|--|\n| sofa (1) | $800 |\n| office chair (4) | $180 |\n| conference table (1) | $2,500 |\n\nround to the nearest cent.

furniture rental costs 10% of the value of the furniture per month, and is subject to 8.25% sales tax. calculate the total cost to rent the equipment shown in the table for 3 months.\n\nfurniture rental\n| item | value, per piece |\n|--|--|\n| sofa (1) | $800 |\n| office chair (4) | $180 |\n| conference table (1) | $2,500 |\n\nround to the nearest cent.

Answer

Explanation:

Step1: Calculate the total value of furniture

The value of the sofa is $800$, the value of 4 office - chairs is $4\times180 = 720$, and the value of the conference table is $2500$. So the total value of furniture $V=800 + 720+2500=4020$.

Step2: Calculate the monthly rental cost before tax

The monthly rental cost is 10% of the value of the furniture. So the monthly rental cost $C_{monthly}=0.1\times V = 0.1\times4020 = 402$.

Step3: Calculate the total rental cost for 3 months before tax

The total rental cost for 3 months $C_{3 - months}=3\times C_{monthly}=3\times402 = 1206$.

Step4: Calculate the sales tax amount

The sales tax rate is 8.25%. So the sales tax amount $T = 0.0825\times C_{3 - months}=0.0825\times1206=99.495$.

Step5: Calculate the total cost

The total cost $C = C_{3 - months}+T=1206 + 99.495=1305.495\approx1305.50$.

Answer:

$1305.50$