Mathematics High School

Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent

Answers

Answer 1

Answer:

24.53

Step-by-step explanation:

9% of 22.50 = 2.03

22.50 + 2.03 = 24.53

Answer 2

Answer:

24.53

Step-by-step explanation:

Related Questions

Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. Write an equation in standard form that represents the situation
____x+____ y=____

Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______


Answers

Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
Therefore you have 3 dimes

Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4

Answers

Answer:

[tex]\displaystyle f'(4) = 63[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/Coefficients

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]  

Step-by-step explanation:

Step 1: Define

f(x) = 7x² + 7x + 3

Slope of tangent line at x = 4

Step 2: Differentiate

Substitute in function [Limit Definition of a Derivative]:                              [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]:                                                                    [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute:                                                                            [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²):                                                     [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x):                                                      [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms:                                                           [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor:                                                                                 [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify:                                                                               [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate:                                                                                                 [tex]\displaystyle f'(x) = 14x + 7[/tex]

Step 3: Find Slope

Substitute in x:                                                                                                [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply:                                                                                                           [tex]\displaystyle f'(4) = 56 + 7[/tex]Add:                                                                                                                  [tex]\displaystyle f'(4) = 63[/tex]

This means that the slope of the tangent line at x = 4 is equal to 63.

Hope this helps!

Topic: Calculus AB/1

Unit: Chapter 2 - Definition of a Derivative

(College Calculus 10e)

Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.

Answers

Answer:

%11.76

Step-by-step explanation:

400/3400x100 = 11.76

6x times (-2y)

Urgent please send solution

Answers

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

Can you divide any number by zero?

Answers

Answer:

well basically no so i say no

Step-by-step explanation:

you can but you wouldn't get a answer because you would only get the same answer so..

Answer:

When we try to divide by zero, things stop making sense

Step-by-step explanation:

Which expression is equivalent to -3(m + 5)?

A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.

Answers

the answer is -3m - 15 .

hope it helps you

need help please will give brainliest

Answers

Answer:

y=1/5x+7

Step-by-step explanation:

For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?

Answers

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

Solve by Substitution:
3x-2y = 4
y = -2x + 5


YALL PLZ HELP ILL DO ANYTHING

Answers

Answer:x=2

Step-by-step explanation:

3x-2(-2x+5) = 4

3x + 4x - 10 = 4

7x-10 = 4

7x = 14

x = 2

y = -2(2) + 5

y = -4 + 5

y = 1

(x,y) = (2,1)

Please help me with this

Answers

Answer:

1 h 30 minuutes

Step-by-step explanation:

[tex]1.5 \: hr = 1 \: hr + 0.5 \times 60 \: min \\ \\ = 1 \: h \: 30 \: min \\ \\ [/tex]

Answer:

1.5 Hrs x 60 minutes = 90 minutes

1 hour 30 minutes

How many terms are in this expression? d + 8c + 7 ​

Answers

Answer:

2

Step-by-step explanation:

Which of the following is an equation with ONE solution?

A
2x = 2x + 18

B
2x - 10 = 2(x - 5)

C
5(x + 3) + x

D
2x + 5= 11 - 4x

Answers

D is the answer. I hope this helps!

A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?

Answers

Answer:

30 times

Step-by-step explanation

Answer:

30

Step-by-step explanation:

Can somebody help me please

Answers

It will be 110 because a circle is 360, so you subtract 250 from that and you get 110

in the diagram below, de is parallel to xy. what is the value of y​

Answers

The answer to your problem is D:86

The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help

Answers

Answer:

Total income= $4,083.75

Step-by-step explanation:

First, we need to calculate the total number of people that enter the aquarium in the first two hours.

1st hour= 140

2nd hour= 140*1.25= 175

Total number of people= 315

Now, we can determine the total amount of money earned:

Each ticket cost 15.25.

Total income= 315*15.25

Total income= $4,083.75

Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.

Robby went on Monday and bought three movies for $15.36. The cost per movie will be:

= $15.36/3

= $5.12

Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:

= $27.40/5

= $5.48

Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:

= $20.08/4

= $5.02

Madison went on Friday and bought six movies for $31.44. The cost per movie will be:

= $31.44/6

= $5.24

We can see that Trey had the best deal.

Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.

Answers

Răspuns:

292,50

Explicație pas cu pas:

Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17

Suma principală depusă, P = 250

Suma totală, A după 1 an poate fi calculată astfel:

A = P (1 + rt)

Unde ; r = rata dobânzii; t = timp

A = 250 (1 + (0,17 * 1))

A = 250 (1,17)

A = 292,5

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