Aaron is staying at a hotel that charges $100 per night plus tax for a room. a tax of 8% is applied to the room rate per day and an additional one-time only fee of $5.00 is charged by the hotel. which of the following represents total charge, in dollars, for staying x nights?
a. left parenthesis 99.5 plus 0.08 x right parenthesis plus 5.
b. 1.08 open parentheses 99.95 x close parentheses plus 5.
c. 1.08 open parentheses 99.95 x plus 5 close parentheses.
d. 1.08 open parentheses 99.95 plus 5 close parentheses x.

B) 1.08 (99.95x) + 5

Step-by-step explanation:

Charges per night at the hotel = $ 100

Tax applied on room rate = 8%

One-time fee = $ 5

Since the tax is being applied on room rate, tax will be calculated on $ 100 only, not on $ 5.

Amount of tax = 8% of 100 = 0.08 x 100 = $ 8

After the tax, the charges per night for the stay at hotel would be = $ 108

Since $ 108 is being charged for one night, for x night the charges would be = $ 108 x

Total charge for staying x nights = Room charges + One time Fee

So,

Total charge for staying x nights = 108x + 5

This can also be written as:

Total charge for staying x nights = 1.08 (100x) + 5

This is because 108 = 1.08 x 100

By looking at the given options, option B gives the only possible answer.

Option B) 1.08 (99.95x) + 5

which simplifies to

1.08 (99.95x) + 5 = 107.946x + 5 ≈ 108x + 5

So, the correct answer for this question is B) 1.08 (99.95x) + 5

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

529 and 531

step-by-step explanation: