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anygoal [31]
3 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]3 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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A cone with diameter 20 cm and a height of 20 cm. Find the volume of the cone rounded to the nearest tenth.
zhuklara [117]

Answer:

2094.4 cm³

Step-by-step explanation:

The volume of a cone =πr²h/3

Where

r = radius = Diameter/2

Diameter = 20cm, radius = 20cm/2 = 10cm

Height = 20cm

Volume of a cone = π × 10² × 20/3

Volume of a cone = 2094.3951 cm³

Approximately to the nearest tenth = 2094.4 cm³

Therefore , the volume of a cone = 2094.4 cm³

8 0
3 years ago
For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?
kvv77 [185]

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

3 0
3 years ago
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myrzilka [38]
I think the answer is 3 :))
6 0
3 years ago
What is the same as moving the decimal point 3 places to the right in a decimal point.
ladessa [460]

Answer:

5

Step-by-step explanation:

l

4 0
3 years ago
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Please help :) <br>what is the average rate of change for the interval from x=3 to x=5 ?
qwelly [4]

Answer:

c, 49

Step-by-step explanation:

y2-y1/x2-x1

125-27/5-3

98/2

49

7 0
3 years ago
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