The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.

[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]

Willie needs to keep same force acting by him on the cart inorder to balance the force.

Let's check how?

[tex]\\ \sf\longmapsto F_{net}=100-100=0N[/tex]

.Hence verified

Answer:

There would be $5,372.99 in Camilla's account after 4 years.

Step-by-step explanation:

Total Principal $5,000.00

Total Interest $372.99

* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%

Camilla will have approximately $5,454.41 in her account after 4 years.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.

Now, After 4 years, the investment will grow to:

= $5,000 (1 + (1.8%/12))¹²ˣ⁴

= $5,000 (1 + (1.8%/12))⁴⁸

= $5,454.41

Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.

So, Camilla will have approximately $5,454.41 in her account after 4 years.

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#SPJ2

Answer:

y=1

Step-by-step explanation:

the y values r 1 n even using the calculation it will give 1 as y

Answer:

i think 36???

Step-by-step explanation:

3 x 2 is 6 and 6 x 6 is 36

Im going to be honest, I don't know what I'm doing

Check the picture below.

Answer:

no he doesnt brush his teeth

Step-by-step explanation:

Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

Answer:

Percentage is the answer

Linear equations can represent parallel lines, perpendicular lines and lines with no relationship at all.

The equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]

The equation is given as:

[tex]\mathbf{y =-\frac x2 - 6}[/tex]

For a linear equation y = mx + b, the slope of the equation is m

So, by comparison:

[tex]\mathbf{m =-\frac 12}[/tex]

The relationship between the slopes of perpendicular lines is:

[tex]\mathbf{m_2 =-\frac 1{m_1}}[/tex]

So, we have:

[tex]\mathbf{m_2 =-\frac 1{-1/2}}[/tex]

[tex]\mathbf{m_2 =2 }[/tex]

This means that, the slope of the line that passes through point (-8,1) is 2

The line equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = 2(x + 8) + 1}[/tex]

Open brackets

[tex]\mathbf{y = 2x + 16 + 1}[/tex]

Simplify

[tex]\mathbf{y = 2x + 17}[/tex]

Hence, the equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]

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Answer:

Step-by-step explanation:

The volume of the tank= (50x30X20) cm^3

                                       = 30000cm^3

                                       = 30 l

1 l costs 300 tk

therefore 30 l costs= 30X300 taka

                                = 90000 taka

Answer: b

Step-by-step explanation:

Answer:

Print it

Step-by-step explanation:

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

Answer:

The answer to " How much is a pen or pencil at the school store?" is $0.5

Step-by-step explanation:

3+5=8

-1.00 for erasers

total cost now =4

4/8= $0.5

total cost of everthing =5

Given polynomial:

(4x²-3x+7) - (x²+8x-5)

⇛ 4x²-3x+7-x²-8x+5

⇛ (4x²-x²) +(-3x-8x)+(7+5)

⇛ (4-1)x²+(-3-8)x+12

⇛ 3x²+(-11)x+12

⇛ 3x²-11x+12

Note:-

When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.

Read more:

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Answer:

[tex]3x^2-11x+12[/tex]

Step-by-step explanation:

First, distribute the negative:

[tex]4x^2-3x+7-x^2-8x+5[/tex]

Then combine like terms:

[tex]3x^2-11x+12[/tex]

Step-by-step explanation:

the radius is diameter divided by 2

7/2/2 =1 .75

circumference of a circle is 2πr

2*22/7*1.75=11

3.14*11 =34.54

The two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

Let the two variables be x and y

If the product of the numbers is 300, hence

xy = 300

x = 300/y ........ 1

If the sum of the first and four times the second is a minimum, then;

P(x, y) = x + 4y .................. 2

Substitute equation 1 into equation 2:

P(x, y) = x + 4y

P(y) = 300/y + 4y

If this function is at mimimum, hence dP/dy = 0

dP/dy = -300/y² + 4 = 0

-300/y² + 4 = 0

-300 + 4y² = 0

4y² = 300

y² = 300/4

y²=   75

y = 7.66

Since xy = 300

x = 300/7.66

x = 39.16

Hence the two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

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Answer:

∠ A = 43°

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent, so

∠ B = ∠ T  = 55°

The sum of the 3 angles in a triangle = 180°

sum the 3 angles in Δ ABC and equate to 180

2x - 9 + 3x + 4 + 55 = 180 , that is

5x + 50 = 180 ( subtract 50 from both sides )

5x = 130 ( divide both sides by 5 )

x = 26

Then

∠ A = 2x - 9 = 2(26) - 9 = 52 - 9 = 43°

the answer is 4160$

     After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.

Moneysaver's Bank offers a saving account with the features as,

Expression to calculate the final amount when compounded continuously,

Final amount = [tex]P.e^{rt}[/tex]

Here, P = Principal amount

r = Rate of interest

t = Duration of investment

By substituting the values in the expression,

Final amount = [tex]3200.e^{0.05\times 6}[/tex]

                      = 3200(1.3498588)

                      = 4319.548

                      ≈ $4319.55

  Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.

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ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Answer:

the function is odd.

Step-by-step explanation:

f(x) is even if f(−x)=f(x) . f(x) is odd if f(−x)=−f(x) . Since −1x=−f(x).

Answer:

Odd

Step-by-step explanation:

There are two ways a function can be determined even or odd.

1. Graph

If the line of symmetry is the y=axis, the function is even.

If it can be rotated 180˚ about the origin and lines up with the original equation, it is odd.

If none of the cases above are satisfied, the function is neither.

2. f(-x)

If you substitute -x for x and you get the equation to be the same as before, the function is even.

If you substitute -x for x and you get the previous equation * -1, the function is odd.

If none of the cases above are satisfied, the function is neither.

Answer:

-14k+17

Step-by-step explanation:

19, 15.5

20, 25

21, 1/16

22, 4

23, 11

24, 8

25, 19.5

26, 30

27, 4

28, 56

29, 6.5

30, 4

31, 21

32, 112

33, 3,200

here are they