Find AC.
B
7x-6
6x +4

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

For more such information on: rates

https://brainly.com/question/25720319

#SPJ8

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

More can be learned about the perimeter of a polygon at https://brainly.com/question/3310006

#SPJ1

Answer:The answer is D

Step-by-step explanation:

I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared

Answer:

D :)

Step-by-step explanation:

wait, have you smiled today? its very important:)

Answer:

11

Step-by-step explanation:

We can have any. two numbers that represent a and b

It CANT BE THIS FOLLOWING

A AND B CANT BE ZERO SO WE CAN USE MULTIPLES OF 10

A CANT BE EQUAL TO B SO WE CANT USE MULTIPLES OF 11( ALL THE WAY UP TO 99 BUT WE CANT USE ANY NUMBER AFTER THAT SINCE NUMBERS THAT COME AFTER 99 ARE THREE DIGIT NUMBER)

Let use 5 and 6.

56

Reverse the digits

65

add 56 to 65

121

Divide this by 6+5=11

The answer is 11 This vary for all answers let use 1,7

17 then reverse

71 then add 71 and 17

88 then divide by 1+7=8

11

The quotient is 11.

Step-by-step explanation:

Given:

A two-digit number,'ab'.

Where a and b are non-zero and are unequal to each other.

To find:

Quotient after dividing the sum of the given digit and its reverse with(a+b).

Solution:

The given digit = \(ab = (10a+b)\)

\(Where:\\a \neq b, a\neq 0,b\neq 0\)

On reversing the given digit =\(ba = (10b +a)\)

Now adding the given digit and its reverse:

\(= ab +ba = (10a+b)+(10b+a)\\=(11a+11b)=11(a+b)\)

Diving the sum with (a+b):

\(=\frac{11(a+b)}{(a+b)}=11\)

The quotient is 11.

Learn more about algebra here:

brainly.com/question/953809?referrer=searchResults

https://brainly.com/question/21261790?referrer=searchResults

Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

Answer:

$7,500

Step-by-step explanation:

1500/2 750, 750x10=7,500

We conclude that the horizontal distance between the ship and the lighthouse is 920.3 feet.

We can use trigonometry to solve this. We know that the height of the lighthouse is 113 ft, and that the angle of elevation when seen from the ship is 7°.

Then we have a right triangle where we know that one angle measures 7° and the opposite cathetus to this angle measures 113 feet, and we want to find the adjacent cathetus, then we can use the tangent relation.

tan(7°) = 113ft/x

Where x is the opposite cathetus, which is the horizontal distance we want to find.

x = 113ft/tan(7°) = 920.3ft

We conclude that the horizontal distance between the ship and the lighthouse is 920.3 feet.

If you want to learn more about right triangles.

https://brainly.com/question/2217700

#SPJ1

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

To learn more about logarithmic evaluation refer to:

https://brainly.com/question/29168400

#SPJ1

the answer is prolly not B

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

Answer:

8

Step-by-step explanation:

the answer is 8

Answer:

8

Step-by-step explanation:

total students=20

boys=2/5×20

=8

Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

The approximation for ∫₀¹\(e^{cos(x)}\)dx using midpoint rule is 2.345. Option B

The midpoint rule is a numerical method for approximating the definite integral of a function which looks like

1. ∫ f(x) dx  = ᵃΔx {f((x₀+x₁)/2) + f((x₁+x₂)/2) + f((x₂+x₃)/2) + .....+ f((xₙ₋₂+xₙ₋₁)/2 + f((xₙ₋₁+xₙ)/2)

Where Δx = (b-a)/n

f(x) = \(e^{cos(x)}\),

a = 0,

b = 1

n=4

we're dividing the interval [0, 1] into 4 subintervals.

Therefore  Δx = (1-0)/4 = 1/4

Input this a = 0, 1/4, 1/2, 3/4, 1 = b, to the above formula, (1.)

1. a) f((x₀+x₁)/2

= f((0+1/4)/2) = f(1/8)

= \(e^{cos(1/8)}\) =2.697155413902143

1. b) f((x₁+x₂)/2)

=  f((1/4+1/2)/2) = f(3/8)

= \(e^{cos(3/8)}\) = 2.535796076614806

1. c) f((x₂+x₃)/2)

= f((1/2+3/4)/2) = f(5/8)

=  \(e^{cos(5/8)}\) = 2.250074033617969

1. d) f((x₃+x₂)/2)

= f((3/4+1)/2) = f(7/8)

= \(e^{cos(7/8)}\) = 1.898372344355632

We add the values of the 4 subintervals and multiply by 1/4

1/4(2.697155413902143 + 2.535796076614806 + 2.250074033617969 +  1.898372344355632) =  2.345.

Find more exercises on integrals;

https://brainly.com/question/14502499

#SPJ1

Answer:4:24 I believe

Step-by-step explanation:

Answer:

4:25

Step-by-step explanation:

The little string stand for hour and the big string stands for the minutes

Answer:

D 0.89275

Step-by-step explanation:

The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

Learn more about inequalities on

https://brainly.com/question/24372553

#SPJ1

a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.

b) The probability both young adults selected are living on their own is; 0.26

We are given the events as;

M = the event a male young adult is living in his parent’ home

F = the event a female young adult is living in her parent’ home

We are also given that;

Probability that a male young adult is living in his parent’ home; P(M) = 0.56

Probability that a female young adult is living in her parent’ home; P(F) = 0.42

a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;

P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)

= 0.56 + 0.42 - 0.24 = 0.74.

B) The probability both young adults selected are living on their own which means neither is living with their parents is;

P(neither living with parents) = 1 - P(M or F)

= 1 - 0.74 = 0.26.

Read more about Conditional Probability at; https://brainly.com/question/23382435

#SPJ1

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{expression}}}}}\)

Explanation

An algebraic expression is made up of one or more numbers , variables and symbols of mathematical operations , such as , addition , subtraction , multiplication and division whereas An equation is an algebraic expression which involves an equal to sign.

Hope I helped!

Best regards! :D

Answer:

B. -0.45

Step-by-step explanation:

I'm assuming the values you have provided are pertaining to the correlation coefficient.

The correlation coefficient (r) is used to describe how strongly points are correlated and in which direction they are correlated. This correlation coefficient ranges between -1 and 1: \(-1\le r\le1\)

If the correlation coefficient is negative, the correlation is down-sloped or in other words as the variable on the x-axis increases, the variable on the y-axis decreases.

If the correlation coefficient is positive, the correlation is upward-sloped or in other words as the variable on the x-axis increases, the variable on the y-axis also increases.

The strength of the correlation can be analyzed by the absolute value of the correlation coefficient (r). So if you want to compare two correlation coefficients and say which has a stronger correlation, you would first take the absolute value and then compare which is larger as such: \(|r|\)

In this case the -0.45 is technically less than the 0.34, although the absolute value indicates it is a stronger correlation, just in a different direction. You can compare all the other options and -0.45 has the largest absolute value.

Answer:

Andrea sold 59 bracelets.

Answer:

a

   \(R =13\)

b

  \(\= x =8.9\)

c

 \(var(x) = 16.57\)

d

 \(\sigma = 4.1\)

Step-by-step explanation:

From the question we are given a data set  

      2​, 10​, 15​, 4​, 11​, 10​, 15​, 10​, 2​, 10

     The sample size is  n  = 10

 The range is  

         \(R = maxNum - MinNum\)

Where maxNum  is the maximum number on the data set  which is 15

 and  MinNum  is the minimum  number on the data set  which is  2

   So

           \(R = 15 - 2\)

           \(R =13\)

The mean is mathematically represented as

          \(\= x = \frac{\sum x_i}{N}\)

substituting values

          \(\= x = \frac{2 + 10 + 15 + 4 + 11 + 10 + 15 + 10 + 2 + 10 }{10}\)

         \(\= x =8.9\)

The variance is mathematically evaluated as

        \(var(x) = \frac{\sum (x - \= x)^2}{N}\)

substituting values

      \(var(x) = \frac{(2 - 8.9 )^2 + (10 - 8.9 )^2 + (15 - 8.9 )^2 +(4 - 8.9 )^2 +(11 - 8.9 )^2 +(10 - 8.9 )^2 +(15 - 8.9 )^2 +(10 - 8.9 )^2 +} {10}\)                    \(\frac{(2 - 8.9 )^2 +(10 - 8.9 )^2 }{10}\)

\(var(x) = 16.57\)

The standard deviation is  \(\sigma = \sqrt{var(x)}\)

substituting values

         \(\sigma = \sqrt{16.57}\)

        \(\sigma = 4.1\)

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

To know more about Functions check:

https://brainly.com/question/5975436

#SPJ1

Answer:

The equation of the line will be:

\(y=-\frac{1}{2}x-6\)

Step-by-step explanation:

Given

Point slope form:

\(y-y_1=m\left(x-x_1\right)\)

substituting the values m = -1/2 and the point (4,-8)

\(y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)\)

\(y+8=\frac{-1}{2}\left(x-4\right)\)

subtract 8 from both sides

\(y+8-8=\frac{-1}{2}\left(x-4\right)-8\)

\(y=-\frac{1}{2}x-6\)

Therefore, the equation of the line will be:

\(y=-\frac{1}{2}x-6\)

Answer:

x=17

Step-by-step explanation:

See attached.

Because of the Triangle Proportionality Theorem,

24: (2x-4)+6

20: 2x-4

Cross multiply these two ratios

48x-96 = 40x-80+120

Isolate variable: 8x = 96-80+120

Solve: 8x = 136

x=17

Answer: I am pretty sure its C i hope this helps :D

Step-by-step explanation:

Answer:

d

Step-by-step explanation: