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Rudik [331]
2 years ago
11

A 5 hour conference booking is required fir an office party for 120 people which includes a buffet dinner hotel 5 has recently i

ncreased the Total chargers by 10% how much would thia Booking now cost from hotel 5

Mathematics
1 answer:
ankoles [38]2 years ago
7 0

Answer:

Total cost = $4,873

Therefore, the booking cost of hotel 5 would be $4,873

Step-by-step explanation:

Please refer to the attached table.  

The total cost includes the cost of the room and the cost of buffet dinner.

From the given table hotel 5,

The cost of the room for 120 people is found to be $166 per hour.

The conference will last for 5 hours so the total cost of the room is

Cost of room = 5*$166 = $830

From the given table hotel 5,

The cost of the buffet dinner per head is found to be $30.

Since there are total 120 people so the total cost of dinner is

Cost of dinner = 120*$30 = $3600

Total cost = $830 + $3600 = $4430

We are given that hotel 5 has recently increased the total chargers by 10%

Total cost = $4430*1.10

Total cost = $4,873

Therefore, the booking cost of hotel 5 would be $4,873.

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The function f(x) = 1/2 x + 3/2 is used to complete this table.
Mrac [35]

Answer:

a) f(-1/2)  = -2 is NOT TRUE.

b)  f(0)  =3/2 is  TRUE.

c)   f(1)  = -1 is NOT TRUE.

d)   f(2)  = 1 is NOT TRUE.

e)   f(4)  = 7/2  is  TRUE.

Step-by-step explanation:

Here, the given function is  f(x) = (\frac{1}{2}) x+\frac{3}{2}

Now, checking for each values for the given function:

a) Putting x  = (-1/2):

 f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2}   = \frac{-1}{4}  + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4}  = (\frac{5}{4} )

and (5/4) ≠  -2

Hence, f(-1/2)  = -2 is NOT TRUE.

b)Putting x  = 0 :

f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )

Hence, f(0)  =3/2 is  TRUE.

c) Putting x  = 1:

f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2}   = \frac{1}{2}  + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2}  = (\frac{4}{2} )   = 2\implies 2   \neq -1

Hence, f(1)  = -1 is NOT TRUE.

d)Putting x  = 2:  

f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2}   = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2}  = (\frac{5}{2} )

and (5/2) ≠  1

Hence, f(2)  = 1 is NOT TRUE.

e)Putting x  = 4:

 f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2}   = 2  + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2}  = (\frac{7}{2} )

Hence, f(4)  = 7/2  is  TRUE.

4 0
2 years ago
Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.
Artist 52 [7]
<span>                                                            Honor roll Not on honor roll Total
Received math class requested        315               64                   379
Did not get math class requested        41               80                   121
Total                                                        356             144                   500 

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.</span>
5 0
2 years ago
Which expressions are equivalent to 4b4b ? Choose all answers that apply: Choose all answers that apply: (Choice A) A b+2(b+2b)b
NeX [460]

Answer: B)  3b+b

C)   2(2b)

Step-by-step explanation:

\text{ A) }b+2(b+2b) = b+ 2(3b) = b + 6b = 7b

\text{ B) }3b+b = (3+1)b = 4b

\text{ C) }2(2b) = 4b

Thus, Option B and C is giving the result 4b,

Therefore, they are the expressions that are equivalent to 4b.

5 0
2 years ago
Read 2 more answers
The CPI basket price for two consecutive years of five different economies are given. Determine the rate of Inflation for each e
kaheart [24]

Answer:

The inglation rate can be calculated as:

R = ((year2 - year1)/year1 )*100%

A)

Year 1 = $132.00

Year 2 = $134.50

R = (($134.50 - $132.00)/$132.00)*100% = 1.89%

B)

Year 1 = $95.00

Year 2 = $97.50

R = (($97.50 - $95.00 )/$95.00 )*100% = 2.6%

C)

 Year 1 = $100.00

 Year 2 = $102.00

R = (($102.00 - $100.00 )/$100.00 )*100% = 2%

D)

Year 1 = $88.00

Year 2 = $89.25

R = (($89.25 - $88.00 )/$88.00 )*100% = 1.4%

E)

Year 1 = $115.50

Year 2 = $117.50

R = (($117.50 - $115.50 )/$115.50 )*100% = 1.7%

Then the order from least to greatest is:

D, E, A, C, B

8 0
2 years ago
Cos2a.cos3a-cos2a.cos7a/sin4a.sin3a-sin2a.sin5a ​
Dmitrij [34]

Answer is -28.37

Step-by-step explanation:

from the numerator cos 2a×cos 3a - cos 2a×cos7a= cos6a^2 -cos 14a^2

= -cos8a^2 for the numerator

from the denominator;

sin4a×sin3a-sin2a×sin5a= sin12a^2 -sin10a^2

= sin2a^2

therefore, combining the equation it gives; -cos8a^2/sin2a^2

a^2 will divide each other,

= -cos8/sin2.

from the calculator,

= - 0.9903/0.0349

= -28.37

5 0
2 years ago
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