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anygoal [31]
2 years ago
6

A luxury resort is offering an incentive discount. If you book your room six months in advance, you will save 15% off the price

of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, what is the total discounted cost for your stay? Round your answer to the nearest cent.
Mathematics
1 answer:
Anna [14]2 years ago
8 0

Answer:the total discounted cost for your stay is $1948.2

Step-by-step explanation:

If you book your room six months in advance, you will save 15% off the price of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, this means that the value of the discount would be

15/100 × 382 = 0.15 × 382 = $57.3

The cost of the room for a night would be

382 - 57.3 = $324.7

Since you are staying for six nights,

the total discounted cost for your stay would be

324.7 × 6 = $1948.2

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Four friends each ordered individual pizzas at a restaurant. Suzy ate 3/8 of her pizza. Ethan ate 3/5 of his pizza. Tenaya ate 4
Kay [80]

Answer:

Ethan and Tenaya ate more than half of their pizza.

Sam and Suzy ate less than half of their pizza.

Step-by-step explanation:

We have been given that each of the four friends ordered individual pizzas. They ate some part of the pizzas and we have to find who ate more than half of their pizza? Less than half?

Suzy ate 3/8 of her pizza. It means she ate 0.375 of her pizza which is less than half.

Ethan ate 3/5 of his pizza. It means he ate 0.6 of his pizza which is greater than half.

Tenaya ate 4/6 of her pizza. It means she ate 0.67 of his pizza which is greater than half.

Sam ate 1/3 oh his pizza. It means he ate 0.3 of his pizza which is less than half.

Hence, we can conclude that

Ethan and Tenaya ate more than half of their pizza.

Sam and Suzy ate less than half of their pizza.



7 0
2 years ago
Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five
kondaur [170]

Answer:

The last two terms of the expression are

  ----+8r^2s^4-3r^3s^3

Both the last terms has variable of degree equal to (2+4=6) and (3+3=6).So, the first term must have degree greater than 6.

Correct Options are

 1.\rightarrow 3r^4s^5\\\\2.\rightarrow -r^4s^6

3 0
2 years ago
g Steel used for water pipelines is often coated on the inside with cement mortar to prevent corrosion. In a study of the mortar
aleksandr82 [10.1K]

Answer:

P(X

And we can find this probability using the z table and we got:

P(z

Step-by-step explanation:

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

X \sim N(0.635,0.082)  

Where \mu=0.635 and \sigma=0.032

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the z table and we got:

P(z

7 0
2 years ago
a used car dealer has a vehicle on the lot with a sticker price of $9999. if the dealer markup on used vehicles is 15%, how much
shepuryov [24]
$8694.78

Hope this helps!
5 0
2 years ago
Read 2 more answers
Kiley gathered the data in the table. She found the approximate line of best fit to be y = 1.6x – 4. A 2-column table with 5 row
Dimas [21]

Answer:

The residual value is -1.8 when x = 3

Step-by-step explanation:

We are given the following table

x     |    y

0    |   -3

2    |    -1

3    |    -1

5    |    5

6    |    6    

Residual value:

A residual value basically shows the position of a data point with respect to the line of best fit.

The residual value is calculated as,

Residual value = Observed value - Predicted value

Where observed values are already given in the question and the predicted values are calculated by using the equation of  line of best fit.

y = 1.6x - 4

When we substitute x = 3 in the above equation then we would get the predicted value.

y = 1.6x - 4 \\\\y = 1.6(3) - 4 \\\\y = 4.8 - 4 \\\\y = 0.8

So the predicted value is 0.8

From the given table, the observed value corresponding to x = 3 is -1

So the residual value is,

Residual value = Observed value - Predicted value

Residual value = -1 - 0.8

Residual value = -1.8

Therefore, the residual value is -1.8 when x = 3

Note: A residual value closer to 0 is desired which means that the regression line best fits the data.

5 0
2 years ago
Read 2 more answers
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