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sammy [17]
2 years ago
5

Peter is the owner of a hotel. He has found that when he charges the nightly cost of $139, the average occupancy is 275. In addi

tion, Peter has found that with every $10 increase in the average nightly cost, the hotel occupancy decreases by an average of 22.
Which of the following functions describes the hotel's profit in terms of x, the number of $10 increases over $139?
Mathematics
1 answer:
zimovet [89]2 years ago
3 0

Answer:

Without price increase, Cost/night = $119

Average occupancy = 372 The revenue will be 119*372 = $44,268

For every $15 price increase, the occupancy decreases by 25. Therefore with x price increases, The revenue will be $(119 + 15x)*(372 25x)

Cost/night = $119 + 15x Occupancy = 372 - 25x

Answer:

The nightly cost with x $15 price increases is $119 + 15x.

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A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh
dezoksy [38]

Answer:

<em>40</em>

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2\times 2)

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes \times Number of doors options  \times Number of exterior colors

2 \times 2 \times 10 = <em>40</em>

3 0
3 years ago
There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
forsale [732]

Answer:

The required probability is 4/7.

Step-by-step explanation:

The sample space for the experiment is: { BB, BR, RB, RR }

The outcome of the event we require is: { BR, RB }

The probabilities for each outcome is given as:

BB: 3/7 x 2/6 = 1/7

BR: 3/7 x 4/6 = 2/7

RB: 4/7 x 3/6 = 2/7

RR: 4/7 x 3/6 = 2/7

Adding the probabilities we have:

{ BR, RB} = 2/7 + 2/7 = 4/7

That's it!

3 0
3 years ago
PLEASE HELPPPP! 50 points, my brain has been doing homework all night and this is simple math ;-; I just cant think rn its 7th g
LenKa [72]

Answer:

68/.75

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

7 0
3 years ago
If 1⁄50 of an amount is 12, what is 1⁄20?
Alika [10]
You start by changing both the a common denominator, this case it would be 100 so it’s 2/100 and 5/100, since 1/50 and 2/100 is the same, each 1/100 is equal to “6” and you have 5/100, which is EQUAL TO 30
4 0
2 years ago
If Zoey has 26380345 candy then gave a equal amount to her 8 friends then she stole 82 back from each friend and some friends ca
mr Goodwill [35]

Is this a real question

Step-by-step explanation:

6 0
3 years ago
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