the cost of a hotel room during lacys trip is $325. the hotel room tax in the city she is in is 10.5%. what…
the cost of a hotel room during lacys trip is $325. the hotel room tax in the city she is in is 10.5%. what is the total cost of the hotel room?
Answer
Explanation:
Step1: Calculate the tax amount
The tax rate is (10.5%=0.105). The tax amount (T) is calculated by multiplying the cost of the room (C = 325) by the tax rate. So (T=325\times0.105). [ \begin{align*} T&=325\times0.105\ &=(300 + 25)\times0.105\ &=300\times0.105+25\times0.105\ &=31.5+ 2.625\ &=34.125 \end{align*} ]
Step2: Calculate the total cost
The total cost (Total) is the sum of the cost of the room (C) and the tax amount (T). So (Total = 325+34.125) [ \begin{align*} Total&=325+34.125\ &=359.125 \end{align*} ]
Answer:
(359.125)