1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kruka [31]
3 years ago
10

The following list shows the items and prices for a restaurant order. Calculate the total amount if there is an 8% tax and the c

ustomer leaves a 20% gratuity. 1 appetizer: $8.59 2 entrees: $15.99 each 1 dessert: $4.69 2 drinks: $2.10 each a. $64.10 b. $63.31 c. $59.35 d. $40.15
Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Answer:

Option B

The total amount is $63.31 if there is an 8% tax and the customer leaves a 20% gratuity.

Step-by-step explanation:

Given:

List of items                           Prices

1 Appetizer                             $8.59

2 Entrees                                $15.99 each

1 dessert                                 $4.69

2 drinks                                   $2.10 each

Total amount for the food order came to, \left ( 1\times \$ 8.59 \right +2\times \$15.99+1\times \$4.69+2\times\$2.10)=\left (\$ 8.59 \right + \$31.98+ \$4.69+\$4.20)=$49.46

Since the restaurant charges 8% as a tax on the total bill.

First, figure out the tax, 8% of $49.46=0.08\times $49.46=$3.9568

Now, figure out the Customer leaves a  gratuity, 20% of $49.46=0.20\times \$49.46=\$9.896

The total amount( including 8% tax and 20% gratuity )=$49.46+$9.896+$3.9568=$63.3128\approx \$63.31


ozzi3 years ago
4 0

The answer is B, $63.31.

You might be interested in
When 3x^2-12x-7 is written in the form of a (x-h)^2+k, what is the value of a,h, and k?
slavikrds [6]
A=2,h=5,k=0 and the vertex,which is (h,k) is vertex (-5,0)
3 0
3 years ago
Does anyone know the answer to this please help A,B,C, or D???!!?
Flura [38]
I'm going with C. scalene triangle
3 0
3 years ago
How many sets of three consecutive integers are there in which the sum of the three integers equals their product?
skad [1K]

Answer:

3

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

----------------

0 4x² - x

- 4x² - 4x

-----------------------

0 + 3x - 3

- 3x - 3

---------------------------

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0
2 years ago
A parabola has zeros at (5,0) and (-3,0) and passes through point (6,18) determine the axis of symmetry
worty [1.4K]

Answer:

The axis of symmetry is x=1

Step-by-step explanation:

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

In this problem we have a vertical parabola open upward

The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola

so

x=\frac{5-3}{2}=1

therefore

The axis of symmetry is x=1

5 0
3 years ago
The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of
Charra [1.4K]

Answer:

4

Step-by-step explanation:

devide 144 by 9

get 16

The base squared is 16

find the root of 16

get 4

4 is your awnser

4 0
3 years ago
Other questions:
  • Kylee bought a pack of 12 cookies. One -third of the cookies are peanut butter. How many of the cookies in the pack are peanut b
    10·1 answer
  • Please Help!!!!!!! No stupid answers
    7·1 answer
  • a drink bottler needs to fill 40 one pints bottles and he has two tanks one that contains 2 gallons of soda and a second that co
    8·2 answers
  • Brandon made $38.00 in 3 hours. How much would he make in 10 hours
    5·2 answers
  • A supervisor has asked her team to improve its average talk Time Performance the team's average talk time is 13 minutes per call
    15·1 answer
  • Suzi began fishing at 10:50 A.M and fished until 11:30 James finished fishing at 11:45 A.M. He fished for the same length of tim
    9·1 answer
  • The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is o
    14·1 answer
  • HELP I NEED HELP ASAPD DHEWUHFWUFHWKEJFB;KWFBEUFB;KWEGFWKFJBWKBFKWEFBIWEUFBWIEFBWEIBFWEFBIWUEFIWEU HEP !!! ANSWER PLEASE!!
    11·1 answer
  • A board game uses a bag of 105 lettered tiles. You randomly choose a tile and return it to the bag. The table shows the number o
    15·1 answer
  • The graph above shows the distance that a truck travels as a function of the total number of liters of fuel used. The first 6 li
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!