Beth Hazelton purchased a compact vehicle with an $18,240.00. MSRP including the delivery and title fee. She selected a leather interior which costs 5 times the upgraded stereo system. If the total cost of the vehicle, including a 7% sales tax, was $21,365.20 find the cost of the (a) stereo system and (b) leather interior. Use the example in the book to help you with solving this problem.

Answer:

48.56

Step-by-step explanation:

We have to multiply 24.28x2 because there are 2 people so if we multiply it we will get the answer 48.56.

The net square pyramid and its given dimension as shown has a total surface area of 1040 ft².

Surface area of a square pyramid = A + 1 / 2 ps

where

Therefore,

A = l²

where

A = 20² = 400 ft²

p = 4l = 4 × 20 = 80 ft

s = 16 ft

Therefore,

Surface area = 400 + 1 / 2 × 80 × 16

Surface area = 400 + 1280 / 2

Surface area = 400 + 640

Surface area = 1040 ft²

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[tex]\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}[/tex]

[tex]\longrightarrow[/tex]Here, no of observation are 5

Now,

[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{1+9+11+13+26}{5} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{60}{5} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Average = 12 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]The Average of given set of numbers is 12 .

[tex]\therefore\: [/tex] Option A) is correct ✔️

The quotient of 36 and -4 is -9.

36/-4 = -9

Answer:

The solution is 9.01.

Step-by-step explanation:

To prove that 9.1 isn't the solution we have to plug 9.1 into the equation. By replacing n with 9.1 we get 2.7 which isn't equal to 2.61.

To find the solution we must add 6.4 to both sides of the equation.

Answer:3

Step-by-step explanation:let the number be x

4x+2=14

4x=14-2

4x=12

divide both sides by 4

4x/4=12/4

x=3

Answer:

45

Step-by-step explanation:

Put in '5' where 'x' is

2 (5)^2 - 5 = 45

What is the equation: [tex]2x^2-5[/tex]

What do we want to find: f(5)

To find f(5), we must plug the value '5'

     ⇒ into the 'x' position

        ⇒ f(x)

So: [tex]f(5) = 2(5^2)-5 = 2 * 25 - 5 = 50 -5 = 45[/tex]

Thus f(5) = 45

Hope that helps!

Based on the prices, the willingness to pay of the students and the costs, the profits will be:

The pricing strategy that yields the highest profit is the Mixed bundling strategy.

First find the willingness to pay for both the students with early classes and those without.

Student with early classes:                     Students without early classes:

= 73 + 53                                                       = 63 + 103

= 126                                                             = 166

At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.

Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.

Profit is:

= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)

= (166 + 73) - (2 x 5 + 20)

= 209

At separate only pricing students without early classes will be able to afford the both things at 166.

Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.

Profit:
= (63 + 63 + 103) - (2 x 5+ 20)

= 199

At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.

Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas

= 202

In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.

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Answer:

it’s C. 2.5

Step-by-step explanation:

Answer:

x = -3.5

Step-by-step explanation:

−2.4x=8.4

Divide both sides by −2.4.

x= 8.4/-2.4

Expand 8.4/-2.4 by multiplying both numerator and the denominator by 10.

x= 84/-24

Reduce the fraction 84/-24 to lowest terms by extracting and canceling out 12.

x= −7/2

​-7/2 = -3.5

Answer:

-3.5

Step-by-step explanation:

Hello there?

given such a question,

You have to carry out division on of both RHS and LHS.

Take -2.4 and divide through -2.4{LHS} and 8.4{RHS}.

You are then remained with 1(x) in LHS and -3.5 in RHS

-2.4x /(-2.4)= {8.4}/(-2.4)

= -3.5

I hope this helps. Have a nice studies

By rewriting the weights in decimal form and applying them to the correspondent percentages, we will see that the final grade is 92.8%.

The final grade will be given by:

G = a₁*x₁ + a₂*x₂ + ...

Where the values "a" are the weights, and the values "x" are the averages of Jeorge.

We know that the weights are:

Then we can write the weights in decimal form:

a₁ = 0.3

a₂ = 0.1

a₃ = 0.4

a₄ = 0.2

And the scores are:

So the final math grade will be:

G = 0.3*92 + 0.1*98 + 0.4*91 + 0.2*95 = 92.8%

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

Answer:

the answer is 92.8%

Step-by-step explanation:

Answer:

Angle C = 35

Step-by-step explanation:

Angles A and B are already given to you, so I will not be explaining how to find them. If you have any questions, let me know.

There are 2 ways to solve this problem; you can either use the sum of the interior angles or isosceles triangles.

Sum of Interior Angles

The interior angles of all triangles equal 180 degrees. We can use this information to create an equation.

This means that angle C equals 35 degrees.

Isosceles Triangles

The image shows marks on 2 sides. These marks show that the sides are congruent. If a triangle has 2 congruent sides then it is isosceles. Isosceles always have 2 congruent angles as well. In addition, these congruent angles are always the angles opposite of the congruent sides.

In this case, the angles opposite of the congruent sides are angle A and angle C. Thus, angles A and C are congruent. If angle A is equal to 35, then angle C must also be 35.

First graph

#A

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{484+192}}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{676}}{-32}]/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm 26}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-1}{8}\:or\:\dfrac{3}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=-0.125\:or\:1.5[/tex]

#B

Vertex will be maximum

Coordinates are

#C

[tex]\sf f(x) = -16x^2 + 22x + 3[/tex]

Part A

To find x-intercepts, the f(x) will be 0

[tex]\sf \hookrightarrow -16x^2 + 22x + 3=0[/tex]

[tex]\sf \hookrightarrow -16x^2 + 24x -2x+ 3=0[/tex]

[tex]\sf \hookrightarrow -8x(2x-3)-1(2x- 3)=0[/tex]

[tex]\sf \hookrightarrow (-8x-1)(2x+ 3)=0[/tex]

[tex]\sf \hookrightarrow -8x-1=0 , \ 2x+ 3=0[/tex]

[tex]\sf \hookrightarrow x=-0.125 , \ x=1.5[/tex]

find y-intercept:

to find y-intercept, x will be 0

[tex]\sf f(x) = -16(0)^2 + 22(0) + 3[/tex]

[tex]\sf f(x) = 3[/tex]

Part B

To find vertex use the formula: x = -b/2(a)

[tex]\sf \rightarrow x = \dfrac{-22}{2(-16)}[/tex]

[tex]\sf \rightarrow x = 0.6875[/tex]

find y coordinates:

[tex]\sf f(x) = -16(0.6875)^2 + 22(0.6875) + 3[/tex]

[tex]\sf f(x) =10.5625[/tex]

coordinates of vertex: (0.6875, 10.5625)

As its positive and greater than 0, the vertex will be Maximum.

part C

To draw the graph, simplify point the vertex on the graph. Then point both the x-intercepts. Also the y-intercept and draw the curve with free hand.

Graph attached:

Answer:

Acc to ques

7x-3x = 60

x = 15

so they made total of 10x = 150

Answer:

Number 1 is b

I found the answer on a website

Step-by-step explanation:

the area is the sum of the top square of 9×9 and the bottom parallelogram.

we know the length of the parallelogram is still also the square side length : 9ft.

but we don't need to bother about the lengths of the inclined sides, as the area of a parallelogram is

baseline × height

and the height we can see on the right hand side, as the height of the total shape is 14ft. given that the square side length is 9ft, that leaves us with 14-9 = 5ft as the height of the parallelogram.

so, the area of the square is

9×9 = 81 ft²

the area of the parallelogram is

9×5 = 45 ft²

the total area is then

81 + 45 = 126 ft²

Answer:

x=7

Step-by-step explanation:

In a 45 45 90 triangle the two legs are equal so you set 33=5x-2 and then solve the equation.

Answer:

1. [tex]x=-1; x=15[/tex]
2. Impossible

Step-by-step explanation:

About #1.

There are two ways of reasoning.

Algebrically, you split the absolute value in two based on the sign of the quantity [tex]x-7[/tex]

[tex]x-7 = 8; x\ge7\\x=15\\x-7=-8; x < 7\\x=-1[/tex]

Geometrically, and it's a personal preference of mine, you're asking to find the numbers that are 8 units away from 7. One is to the right (15), and the other is to the left (-1).

#2 is impossible. The modulus of a number is by definition non negative, so it can never be equal to a negative number.

The surface area of the image after the dilation is 219 3/8 m²

Area is the amount of space occupied by a two dimensional shape or object.

The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²

The surface area of the image after the dilation = scale factor² *  390 m² = (3/4)² * 390 m² = 219 3/8 m²

The surface area of the image after the dilation is 219 3/8 m²

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Answer:

1. three hundred ninety six thousand twenty four

2. five million two hundred thousand ninety

3. four million six hundred six thousand two hundred twenty

[tex]a \: = \: square \: area \: + \: triangle \: area \: + \: rectangle \: area \: \\ [/tex]

[tex]a \: = (3 \times 3) + ( \frac{1}{2} \times 3 \times 11) + (3 \times 11) \\ [/tex]

[tex]a = 9 + \frac{33}{2} + 33 \\ [/tex]

[tex]a = 9 + 16.5 + 33[/tex]

[tex]a = 25.5 + 33[/tex]

[tex]a = 58.5 \: \: {ft}^{2} [/tex]

Answer:

Please see above

Step-by-step explanation:

I have to right stuff here but the answer is above.

Answer:

It will take 5 seconds

Answer:

1/9

Step-by-step explanation:

Given:

2 red marbles

4 white marbles

3 purple marbles

He will randomly select 2 marbles from the bag one at a time without

replacement.

To Find:

What is the probability that he will choose a red marble first and then a white marble?

Solution:

Since red marbles =2

White = 4

Total = 2+4+3 = 9

Select first time = 2/9

Select second time = 4/8

And then = Multiply

2/9 * 4/8 = 8/72

8/72 Simplify

1/9

[RevyBreeze]

Answer: It is 105/8, or 13 1/8 (as a mixed number)

Step-by-step explanation:

To find volume, you do length times width times height (l  * w  * h)

Hope this helps! :D

Answer:

  (a)  6 months

Step-by-step explanation:

The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.

That formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.

__

Using the given information, we can solve for t:

  300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))

  1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))

  (1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782

Taking logs, we get ...

  -12t·log(1 +0.113/12) = log(0.950782)

  t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years

This fraction of a year is ...

  (12 months/year)(0.448739 years) = 5.38 months

It will take you 6 months to pay off the loan.

Answer:

$149 - skateboard price

$52 - carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $149 = $3 left

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{6}}x+\cfrac{7}{6}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we can say that

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}[/tex]

so we're really looking for the equation of a line with a slope of -6/5 and that passes through (-8 , 9)

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}[/tex]

[tex]|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16[/tex]