Find the sticker price and dealer's cost for the following car: The base price is $18,649.00. Options cost $453.00, $612.00, $386.00, and $290.00. Destination charges total $246.00. The dealer pays 85% of the base price and 70% of the options.

Answer:

One solution

Step-by-step explanation:

We have the system

[tex]y=5x-1\\y=-3x+7[/tex]

To solve the system, equate both equations and solve for the variable x.

[tex]5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1[/tex]

Now substitute the value of x in any of the two equations and solve for the variable y.

[tex]y=5(1)-1[/tex]

[tex]y=4[/tex]

Finally the system of equations has one solution

Answer:

Step-by-step explanation:

No c

 as she was initially 300m away from the bridge (distance from bridge=300m)   (time=0) so it was her starting point.

      and after 6 minutes  (time=6min)  she reached the bridge.      (distance from bridge = 0m)

Answer:

C.Katy was initially 300 meters away from the bridge and it tooke her 6 minutes to reach the bridge.

Step-by-step explanation:

As you can see in the table when Katy had been walking for 0 minutes, she was 300 meters away, so initially Katy was 300 meters from the bridge.

When she reaches the bridge is when the distance is reduced to 0, since distances is reduced to 0 at 6 minutes, we can infer that it took her 6 minutes to reach the bridge, and that se was walking at a pace of 50 meters per minute.

Answer:28

Step-by-step explanation:five numbers: 24, 25, 26, 27, 28

the largest is 28

The numbers are 24, 25, 26, 27, 28 and the largest will be 28.

Therefore, the numbers are 24, 25, 26, 27, 28 and the largest will be 28.

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Answer:

- x

Step-by-step explanation:

If we expand the product.

Each term in the second factor is multiplied by each term in the first factor

x(x - 4) + 3(x - 4) ← distribute both parenthesis

= x² - 4x + 3x - 12 ← collect like terms

= x² - x - 12

The middle term of the product is - x

Answer:

B'C'D'

Step-by-step explanation:

The figure was just translated, without any deformation, these are similar figures... so their corresponding angles are the same.

Since it was just moved down by 4 units, none of the angles were changed, and none of the side lengths were changed.

Since vertex C' corresponds to vertex C, the angle B'C'D' corresponds to original angle BCD.

Answer:

She spent 25%

Hello There!

The girl spent 1/4 of her money. 12 is divisible by 3 and when we divide, we get a quotient of 3

If the girl spent $3, we subtract 3 from 12 and we see that 3 = 1/4 6=2/4 and 9=3/4 but if she spent $3 it would be 1/4

The Girl Spent 1/4 of her money. This is also known as 25%

Answer:2321

Step-by-step explanation:

Answer:

$5600

Step-by-step explanation:

Original Cost = x

Total Cost = $5824

Sales Tax = 4% or 0.04

Problem Setup

(Original Cost) + 4% (Original Cost) = Total Cost

x + 0.04x = 5824

1x+ 0.04x = 5824

1.04x = 5824

1.04x/1.04 = 5824/1.04

x=5600 Original Cost

To Check math multiply 5600 x 0.04 = 224.

Then add $5600 + $224 = $5824

The price of the car before sales tax is $5600.  

To determine the cost of the car before sales tax, we can use the equation provided:

[tex]x + 0.04x = 5824[/tex]

Here, [tex]x[/tex] represents the original price of the car before sales tax, and [tex]0.04x[/tex] represents the amount of sales tax, which is 4% of the car's price.

First, combine the terms on the left side of the equation:

[tex]1x + 0.04x = 1.04x[/tex]  

Therefore, the equation simplifies to:

[tex]1.04x = 5824[/tex]

Next, to solve for [tex]x[/tex], divide both sides of the equation by 1.04:

[tex]x = \frac{5824}{1.04}[/tex]

Calculating the right side:

[tex]x = 5600[/tex]

Answer:

The total cost of the tent with the markup and then tax applied is $409.86

Step-by-step explanation:

230 is the original

the price is going to increase by 230(.65)=149.5

So the new price is 230+149.5=379.5 (this is before tax is applied)

The sales tax is 8% or .08

So the price is going to increase by .08(379.5)=30.36 (this is the tax to add in)

So the total cost is  379.5+30.36=409.86

Answer:

Cost of the tent: $517.86

Step-by-step explanation:

Since it's marked up by 65%, that means you add an additional $149.59 to $230. Now, you have $479.50. Now with 8% tax, you multiply $479.50 to 0.08 and we get $38.36. We add $38.36 to $479.50 and we get $517.86. I hope this helps and please mark me brainliest!

Answer:

The answer is 72

Step-by-step explanation:

In order to resolve the expression, we have to know the factorial function.

The factorial function (with a symbol: !) says to multiply all whole numbers from our chosen number down to 1.

For example:

5!=5*4*3*2*1=120

When the exercise has a fraction with factorial functions, we usually try to simplify it, that is, we have to expand the factorial value until to get the same factorial value in the denominator or numerator:

5!/3!=[tex]\frac{5*4*3!}{3!} =5*4=20[/tex]

In this case:

9!/(9-2)!=9!/7!=[tex]\frac{9*8*7!}{7!} =9*8=72[/tex]

The final value is 72.

The value of the factorial 9!/(9-2)! is 72

To find the value of 9!/(9-2)!, we first need to evaluate the factorial expressions.

9! means the factorial of 9, which is calculated by multiplying all positive integers from 1 to 9:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Similarly, (9-2)! means the factorial of (9-2), which simplifies to 7!:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

Now, let's substitute the factorial expressions back into the original equation:

9!/(9-2)! = (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(7 x 6 x 5 x 4 x 3 x 2 x 1)

Now we can simplify the expression:

9!/(9-2)! = (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(7 x 6 x 5 x 4 x 3 x 2 x 1)

= 9 x 8

= 72

Therefore, the value of 9!/(9-2)! is 72.

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Answer:

Step-by-step explanation:

Surface area is 2(πr²) + 2πrh.  The first includes the top and bottom; the second is the area of lateral sides of the cylinder (radius r and height h).

The volume of this cylinder is V = πr²h.

Answer:

2 pi r square + pi dh

Step-by-step explanation:

2 pi r square + pi dh

Answer:

y = (1/3)x

Step-by-step explanation:

If this is truly a line, then we can find its equation using any two of the three given points.  If we go from (3, 1) to (27, 9), x increases by 24 and y increases by 8.  Thus, the slope of this line is m = rise / run = 8 / 24, or m = 1/3.

Using the point (3, 1) and the slope m = 1/3, the slope-intercept form y = mx + b becomes 1 = (1/3)(3) + b.  Thus, b = 0, and the line is y = (1/3)x.

Answer:

y=[tex]\frac{1}{3}[/tex]x ~apex

Step-by-step explanation:

Answer:

[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx}= x - \ln(1 + e^{x}) + C\end{aligned}[/tex].

Step-by-step explanation:

The first derivative of the denominator [tex]1 + e^{x}[/tex] is [tex]e^{x}[/tex]. Rewrite the fraction to obtain that expression on the numerator.

[tex]\begin{aligned}\frac{1}{1 + e^{x}} &= \frac{1 + e^{x}}{1 + e^{x}} - \frac{e^{x}}{1+e^{x}}\\&=1-\frac{e^{x}}{1+e^{x}}\end{aligned}[/tex].

In other words,

[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\end{aligned}[/tex].

Apply [tex]u[/tex]-substitution on the integral [tex]\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx}[/tex]:

Let [tex]u = 1 + e^{x}[/tex]. [tex]u > 1[/tex].

[tex]du = e^{x}\cdot dx[/tex].

[tex]\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx} = \int{\frac{du}{u}} = \ln{|u|} = \ln{u} +C = \ln{(1+e^{x})}+C[/tex].

Therefore

[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\\ & = x - \ln{(1 + e^{x})}+C\end{aligned}[/tex].

Answer:

It is -373.

Step-by-step explanation:

Answer:

x = - 2, x = 1

Step-by-step explanation:

Given

4x² + 4x + 1 = 9 ( subtract 9 from both sides )

4x² + 4x - 8 = 0 ← in standard form

Divide through by 4

x² + x - 2 = 0

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Answer:

-¼x + y = -2

Step-by-step explanation:

First, convert to Slope-Intercept Form by moving "1" to the other side of the equivalence symbol to get y = ¼x - 2, then finally convert to Standard Form by moving "-¼x" to the other side of the equivalence symbol to end up with -¼x + y = -2. Do you understand?

Answer:

Angle GBH:

Angle ECD: 34

Angle HGB: 20

Angle FGH:

Step-by-step explanation:

Find all of the angles, some are needed to find others. Use the given angles...

FEC is 124, so the other side of it, CED must be 180-124 which is 56

Now we know CED is 56 and CDE is 90, and a triangles angles add up to 180, therefore angle ECD is 180-56+90, which is 34

Now we can find HCE, 180-90+34, which is 56

Angle CBG is 70 because 180-110 is 70

You can find angle HGB by looking at angle BCG which is 90 and angle CBG which is 70 and subtracting them from 180. 180-90+70=20

Answer:

54.26

Step-by-step explanation:

0.4+0.86= 1.26

51+2= 53

53+1.26= 54.26

Answer:

54.26 i hope its right

Answer:

f(x) = 2(x - 5)² - 6

Step-by-step explanation:

Vertex Formula: y = a(x - h) + k; Vertex: [h, k]; there is a vertical stretch at 2 = a. The -h [phase shift (horizontal shift)] in parentheses gives you the OPPOSITE term of what it really is, so really, 5 = h. Now, k [vertical shift] is the ONLY normal term, so -6 = k.

The probability that a person will order dessert given that they ordered a steak for dinner, this is an example of conditional probability.

Given that another event (B) has previously occurred, the likelihood of an event (A) occurring.

Event A in Option(C) - A person will order dessert

Event B in Option(C) - A person will order steak for dinner

Event A will only occur if the event B has already completed, hence according to the definition this is an example of conditional probability.

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Answer:

0.94

Step-by-step explanation:

5/6 +2 /3= 2 5/6 /3= 2.83/3= 0.94

Final answer:

The equation for Function A is x = -5, as it represents a vertical line. The equation for Function B is y = -5, representing a horizontal line. Both cases are special and do not use the slope-intercept form.

Explanation:

To find the equations for Function A and Function B, we will analyze the points given for each function.

Function A

For Function A, we have the points (–5, –2) and (–5, 7). These points share the same x-value but have different y-values, which means the line is vertical. The equation for a vertical line is x = constant. Therefore, the equation of line A is x = -5.

Function B

For Function B, the points are (7, –5) and (–2, –5). These points share the same y-value, indicating a horizontal line. The equation for a horizontal line is y = constant, thus the equation of line B is y = -5.

For both equations, we do not use slope-intercept form as these are special cases of vertical and horizontal lines where slope is undefined (vertical line) and zero (horizontal line)

Final answer:

Function A is a vertical line with the equation x = -5, and Function B is a horizontal line with the equation y = -5.

Explanation:

To find the equations for Linear Functions A and B, we need to consider their points and use them to calculate the slope (m) and y-intercept (b). For Linear Function A, the two points given are (–5, –2) and (–5, 7). Since the x-values are the same and the y-values differ, this indicates a vertical line. For a vertical line, the equation does not have a y-intercept and the slope is undefined because the change in x is zero. The equation for a vertical line is simply x = a constant value. Therefore, Function A has an equation of x = -5.

For Linear Function B, the points provided are (7, –5) and (–2, –5). Here, the y-values are the same, indicating a horizontal line. For a horizontal line, the slope (m) is zero because there is no change in y. The y-value for all points on the line is the same, which is the y-intercept (b). Consequently, Function B has an equation of y = -5.

The answer is:

The correct option is:

C. 18 inches.

To calculate the volume of a cylinder we need to use the formula:

[tex]Volume=\pi *radius^{2}*height[/tex]

We are given a cylinder that has a volume of 288 π cubic inches and we know that its radius is equal to 4 inches, so, to calculate the height of the cylinder, we need to isolate it from the equation of volume, so, isolating we have:

[tex]Volume=\pi radius^{2} height[/tex]

[tex]\frac{Volume}{\pi radius^{2} }=height[/tex]

Now, substituting the given information, we have:

[tex]height=\frac{288\pi in^{3}}{\pi (4in)^{2} }=\frac{288\pi in^{3}}{16\pi in^{2} }=18in[/tex]

Hence, we have that the correct answer is:

C. 18 inches.

Have a nice day!

Answer:

The correct answer is option c 18 inches

Step-by-step explanation:

Points to remember

Volume of cylinder =  πr²h

Where r - Radius of cylinder and

h - Height of cylinder

To find the height of cylinder

Here volume = 288π cubic inches and radius = 4 inches

Volume = πr²h

288π = π* 4² * h

288 = 16h

h = 288/16 = 18 inches

Therefore height of cylinder = 18 inches

The correct answer is option c 18 inches

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=12\\ h=45 \end{cases}\implies V=\cfrac{\pi (12)^2(45)}{3}\implies V=2160\pi[/tex]

Answer:

30

Step-by-step explanation:

60% of the 50 students are 12 years old

60% * 50

Changing to decimal form

.60 * 50

30

30 of the students are 12

Answer:

(2x^2)(3x^3)(4x)^2

=6x^5(16x^2)

=96X^7

Answer:

24 x^7

Step-by-step explanation:

(2 x^2)(3 x^3)(4 x)^2 = 2*3*4 * x² * x³ * x² = 24 x^7

This question is based on the reasoning. Therefore, the negative slope of the line representing the data in the table.

Given;

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

We have to describe the slope of the line representing the data in the table.

Reasoning: The number of cards sold is represented by x-axis and the amount of money needed is represented  by the y-axis.

In general, as we sell more cards, we gain more money and then,  the amount of money needed goes down.

From the given graph terms, we start at the top of our graph with the amount of money needed and zero cards sold and then as we sell cards your slope of the line goes down and we need less and less money.

Therefore, the negative slope of the line representing the data in the table.

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Answer:

The problem involves creating and solving a system of equations based on a story problem. The three equations that represent the system are x + y + z = 120, x = y/2 + 35, and z = 2y - 20.

To complete the matrix equation that models this situation, we need to define the distances between the starting point, checkpoint 1, checkpoint 2, and the finish line. Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the finish line. The matrix equation would look like this:

A * [x, y, z] = B

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Answer:

C) -4 degrees

Step-by-step explanation:

let's set Sunday Temp = 0°

Since Monday is 6° cooler than Sunday, we subtract 6° from 0 (Sunday's temp)

Monday's Temp -6 (0-6)

Since Tuesday's Temp is 4° higher than Monday, we add 4 to Monday's temp:

Tuesday's Temp -2 (-6+4)

Wednesday's Temp is cooler than Tuesday's but not as cool as Monday's, we assume that Wednesday's Temp is in-between -6 & -2

that makes

c. -4 a reasonable choice

Answer:

C) -4 degrees

Step-by-step explanation:

Let x be the temperature on sunday,

Then, according to the question,

The temperature on monday = x - 6,

On Tuesday = (x-6) + 4 = x - 2,

Now, Wednesday's temperature was cooler than Tuesday's, but not as cool as it was on Monday,

That is,  x - 6 < temperature on wednesday < x - 2

⇒ x- 6 - x < temperature on wednesday - x < x - 2 - x

⇒-6 < temperature on wednesday - temperature on sunday < -2

Since, -6 < -4 < -2

Hence, the possible difference between the temperature on Wednesday, as compared to the temperature on Sunday would be -4.

Option 'C' is correct.