Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 7% is applied to the room rate, and an additional onetime untaxed fee of $9.00 is charged by the hotel. What is Aaron's total charge, in dollars, for staying 5 nights?

Answer: $543.7325

Step-by-step explanation:

room rate = $99.95 / night

Tax fee = 7% of room rate

Therefore, tax fee = 7% of $99.95

Tax fee = 0.07 * $99.95

Room charge = [$99.95 + 0.07 ($99.95) ]

Room charge = 1.07 ($99.95) per night

Additional onetime untaxed fee = $9

Therefore for 5 nights:

Room charge = 5*[1.07 ($99.95) ] +

Total room charge = 5*[1.07 ($99.95) ] + one time untaxed fee

Total room charge = 5*[1.07 ($99.95) ] + $9

= $543.7325