A café adds 15% service charge to a bill.

Lelu [443]

$\huge\text{Hey there!}$

$\large\text{If x = 3, y = 2, and z = 4 then substitute it in the given equation!}$

$\large\text{Equation: 3 (2) (4)}\\\large\text{3 (2) (4)}\\\large\text{3(2) = 6}\\\large\text{(6)(4) = \bf{ANSWER}}\\\large\text{= \bf{\underline{24}}}$

$\boxed{\boxed{\large\text{Answer: \bf{24}}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

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3 0

3 years ago

Read 2 more answers

The following set of points belong to a specific function: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} Based on the se

adelina 88 [10]

Answer:

(a)Degree 3

(b) $f(x)=x^3+2x^2-7x+3 .$

Step-by-step explanation:

The function represented by the set of points: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} has 2 turning points when plotted on a graph.

(a)Now, we know that the maximum number of turning points of a polynomial function is always one less than the degree of the function.

Therefore, the polynomial has a degree of 3

(b)A cubic function is one in the form $f(x)=ax^3+bx^2+cx+d .$ where d is the y-intercept.

From the set of values, the y-intercept, d=3

Therefore, our polynomial is of the form:

$f(x)=ax^3+bx^2+cx+3 .$

$\text{At } (-3,15), 15=a(-3)^3+b(-3)^2+c(-3)+3 \implies -27a+9b-3c=12\\\text{At } (-2,17), 17=a(-2)^3+b(-2)^2+c(-2)+3 \implies -8a+4b-2c=14\\\text{At } (-1,11), 11=a(-1)^3+b(-1)^2+c(-1)+3 \implies -a+b-c=8$

Solving the three resulting equations simultaneously use a calculator), we obtain:

$a=1, b=2, c=-7$

Therefore, an equation of this function is:

$f(x)=x^3+2x^2-7x+3 .$

7 0

3 years ago

The model includes a new park in the center of the city. If the dimensions of the

11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

6 0

3 years ago

A raffle is being held at a benefit concert. The prizes are awarded as follows: 1 grand prize of $6,200.00, 3 prizes of $940.00,

Nana76 [90]

Answer:

Expected Value = -$0.41

Step-by-step explanation:

Expected Value = [$6,200*(1/17000) + $940*(3/17000) + $98*(8/17000) + $25*(10/17000)] - 1

Expected Value = [0.59]-1

Expected Value = -$0.41

7 0

3 years ago

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The maritime museum has 100 ship models. Visitors can see 90% of the ships in a special exhibit. How many ships can visitors see

DochEvi [55]

90% of 100 = 0.9 x 100 = 90

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Answer: The visitor can see 90 ships.
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4 0

3 years ago