A new car dealer offered to sell his demonstrator model for 80% of the retail price. If the retail price is $30,863, how much did the customer save?

Answers

Answer 1
multiply original price by 80% retail
$30,863 x 80% = $24,690.40
You'd then subtract the original price and the price of 80% retail
$30,863 - $24690.40 = $6172.80
He saved $6172.80
Answer 2

Answer:

The customer saved $6,167.20

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To begin solving this problem we need to change the percent into decimal form. We can do this by moving the decimal point 2 digits to the left like so...

80.0%   ⇔   0.80

Now that we have the percent in decimal form we can find how much the customer paid by multiplying the percent by the retail price.

[tex]30,836 * 0.80 = 24,668.80[/tex]

Now that we have the amount the customer paid, we can subtract that value by the retail price of the model to calculate how much the customer saved.

[tex]30,836-24668.80 = 6,167.20[/tex]

Finally, we can see that the customer saved $6,167.20

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.


Related Questions

Simplify this problem: X3 / X.

Answers

Assuming X3 means x cubed, x3/x equals x squared, with the restriction that x cannot equal 0
Hello There!

It would be x².
The question is x³/x.
X with no power is x to the power of one.
When dividing powers you subtract them.
3 - 1 = 2,
Therefore, making your answer x²

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 

Ray's gym charges an initial sign-up fee of $25.00 and a monthly fee of $15.00.
Write a function that describes the gym's total membership fee for x months.

Answers

y=$15x+$25
25 represents the y intercept 
15 represents the amount per month that it is increasing
T=15x+25
15 times the the number of months plus $25 sign up fee equals total amount paid



Which number is a composite number?

17
27
37
47

Answers

The answer is B.27. Hope this helps!


Given: M is the midpoint of LN; LM =8 prove:LN=16

Answers

A midpoint divides a segment into two congruent segments.

If LM = 8, then MN = 8.

Adding both together, you would get 16 for the length of LN.

The proof of LN= 16 is shown below:

What is midpoint?

The midpoint formula is applied when one is required to find the exact center point between two defined points. So for a line segment, use this formula to calculate the point that bisects a line segment defined by the two points.

Given:

LM= 8

and M is the midpoint of LN

So, the line LN will be break into two equal parts LM and MN

then we can write

LM= MN= 8

Now,

LN= LM+ MN

LN= 8+8

L=16

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Solve. 5t<-15

A) t > 3
B) t < 3
C) t > -3
D) t < -3

Answers

The answer is C)
Hope this helps!!
Get this app callled photo math solve you problems

Which of the f-values satisfy the following inequality? f+8≤12 Choose all answers that apply:

A
f = 4

B
f = 5

C
f = 6

Answers

the answer would be A f = 4

Rachel deposited $6,449.82 into a savings account with an interest of 6.9% compounded annually. About how long will it take for the accout to be worth $8,000?

Answers

Answer:

3 years and 3 months.

Step-by-step explanation:

Since, the amount formula in compound interest,

[tex]A= P(1+\frac{r}{100})^t[/tex]

Where,

P = principal amount,

r = rate per period,

t = number of periods,

Here, A = $ 8,000, r = 6.9%, P = $6,449.82,

By substituting the values,

[tex]8000 = 6449.82(1+\frac{6.9}{100})^t[/tex]

[tex]\frac{8000}{6449.82}=(1+\frac{6.9}{100})^t[/tex]

[tex]\ln (\frac{8000}{6449.82})=t\ln(1.069)[/tex]

[tex]\implies t = \frac{\ln (\frac{8000}{6449.82})}{\ln(1.069)}=3.228[/tex]

Hence, it would be take 3.228 years or 3 years and 3 months.

What could the answer be?

Answers

i don't know ???????

What is the parents function of f(x)=3x-5

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

now, that said, A and D are just transformations of it.

[tex]\bf f(x)=\stackrel{A}{3}x\stackrel{D}{-5}\qquad \qquad \stackrel{parent~function}{f(x)=x}[/tex]

You have a rectangular vegetable garden in your backyard that measures 15 feet by 10 feet. You want to double the area of the garden by adding the same distance x to the length and width of the garden. Find the value of x and the new dimensions of the garden.

Answers

Final answer:

To double the area of the rectangular vegetable garden, we need to add the same distance, x, to the length and width. The value of x is 10 feet, and the new dimensions of the garden are 25 feet by 20 feet.

Explanation:

To double the area of the garden, we need to add the same distance, x, to both the length and width of the garden. The original dimensions of the garden are 15 feet by 10 feet, with an area of 150 square feet. To double the area, we set up the equation 2(15+x)(10+x) = 2(15)(10). Solving this equation gives us the value of x and the new dimensions of the garden.

Expanding the equation, we have 30x + x² + 300 = 300. This simplifies to x² + 30x - 300 = 0. Factoring this quadratic equation, we get (x - 10)(x + 30) = 0. So x = -30 or x = 10. We discard the negative value since distance cannot be negative, so x = 10 feet.

The new dimensions of the garden are 15+10 = 25 feet and 10+10 = 20 feet.

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Of the birds in Monica's pet shop, 1/5 are pigeons. Of the pigeons, 1/3 are white. Look at each expression. Can it be used to find the fraction of birds in Monica's pet shop that are white pigeons?

Answers

1/15 of the birds are white

1/15.

The expression that can be used to find the fraction of birds in Monica's pet shop that are white pigeons is:

1/5 x 1/3 = 1/15

This calculation is derived by multiplying the fraction of pigeons in the pet shop (1/5) by the fraction of white pigeons among pigeons (1/3).

Use the information about sports in the photo to explain how inequalities can be used to describe school sports. Include an inequality describing the number of schools needed to add girls’ track and field so that the number is greater than the number of schools currently participating in girls’ basketball.

Answers

what photo ? there's no photo 


When the federal reserve wants more money to be printed, which agency will be in charge of printing it?

Answers

The U.S. Treasury would be in charge of printing it :)

Answer:

The U.S. Treasury.

Step-by-step explanation:

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function h(t)=300-16t2. Which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall.

Answers

your average speed is the average difference over time (in this case 3 seconds)

[tex] \frac{h(3)-h(0)}{3}=\\ \frac{300-16*3^2-(300-16*0^2)}{3}=\\ \frac{300-16*3^2-(300)}{3}=\\ \frac{-16*3^2}{3}=\\ -16*3=-48[/tex]




Answer:

-96 feet/sec.

Step-by-step explanation:

The height h of a falling object after t second when it is dropped from a platform 300 feet above the ground is modeled by the function h (t) = 300 - 16t²

Then speed or average rate by which the object falls from height h will be [tex]\frac{d[h(t)]}{dt}=\frac{d(300-16t)^{2} }{dt}[/tex]

Speed = [tex]\frac{d}{dt}(300)[/tex] - [tex]\frac{d}{dt}(16t^{2} )[/tex]

         = -16 (2t)

Speed = -32t

After 3 second speed of object will be

Speed = -32(3)

          = -96 feet/second

Therefore, the average rate will be -96 feet/sec. during the first 3 seconds of its fall.

The length of a rectangle is 4.2 cm more than 2 times the width. If the perimeter of the rectangle is 42.6 cm, what are its dimensions?

Answers

Perimeter= add all

42.6 = 6w + 8.4

34.2 = 6w

w = 5.7

L= 15.6

Rules for Plotting Points:
1) Start at the origin: _________
2) If your x-value is ___________, move right; if it is ___________, move left;
if it is _____, don’t move.
3) If your y-value is ___________, move up; if it is ___________, move down;
if it is _____, don’t move.

Answers

1. (0,0)
2. Positive, Negative, 0
3. Positive, Negative, 0
I hope this helps.
1) 0
2) positive, negative, 0
3) positive, negative, 0

Factor the four-term polynomial.
xz + x + yz + y
A. (z - y)(x + 1)
B.(x - y)(z + 1)
C.(x + y)(z + 1)

Answers

group like terms , factor out common variable.

(xz+x) + (yz+y)
x(z+1) + y(z+1)

factor out (z+1)

= (z+1)(x+y)
= solution C.

find the x and y intercepts -3x-6y=12

Answers

Answer:

x-intercept: -4y-intercept -2

Step-by-step explanation:

The x-intercept is found where the graph crosses the x-axis, at y=0. Substituting that into the equation and solving for x, we get ...

  -3x = 12

  x = 12/-3 = -4 . . . . . x-intercept = -4

The y-intercept is found where the graph crosses the y-axis, at x=0. Substituting that into the equation and solving for y, we get ...

  -6y = 12

  y = 12/-6 = -2 . . . . . y-intercept = -2

_____

A graphing calculator confirms these values.

When adding two numbers, such as 123 and 423, care is taken to first line them up and then add like digits. How does expanding this expression to [(1 × 102) + (2 × 101) + (3 × 100)] + [(4 × 102) + (2 × 101) + (3 × 100)] make the operation more like a polynomial addition problem?

Answers

Think of 10^2, 10^1, and 10^0 as x^2, x^1, and x^0.
When you add polynomials, you can only combine like terms.
When you add expanded numbers, you can only combine like powers of 10.

123 + 423 =

= (100 + 20 + 3) + (400 + 20 + 3)

= (1 * 10^2 + 2 * 10^1 + 3 * 10^0) + (4 * 10^2 + 2 * 10^1 + 3 * 10^0)

= (1 * 10^2 + 4 * 10^2) + (2 * 10^1 + 2 * 10^1) + (3 * 10^0 + 3 * 10^0)

= 5 * 10^2 + 4 * 10^1 + 6 * 10^0

= 500 + 40 + 6

= 546

what are the steps for using a compass and a straightedge to construct the bisector of

Answers

With one point of the compass on the vertex of the angle, draw an arc that intersects both sides of the angle. Draw an arc from each of these points ofintersection so that the arcs intersect in the interior of the angle. The compass needs to stay open the same amount throughout this step

ANSWER:

How to construct a Line Segment Bisector AND a Right Angle

using just a compass and a straightedge.

STEP-BY-STEP EXPLANATION:

Steps:

1)Place the compass at one end of line segment.

2)Adjust the compass to slightly longer than half the line segment length

3)Draw arcs above and below the line.

4)Keeping the same compass width, draw arcs from other end of line.

5)Place ruler where the arcs cross, and draw the line segment.

Joel earns $1,700 per month. If he spends $425 on rent each month, what percent of his income does he spend on rent? A. 20% B. 331/3% C. 40% D. 25%

Answers

To get this answer, we do the part divided by the whole and multiply by 100 to get a percentage.

425 / 1700 = 0.25
0.25 x 100 = 25. 

25% is your answer, letter D. 

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −7 0 −1 1 5 g(x) g(x) = 5x − 4 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

Question A:

Rewriting the table for f(x):

x      -1       0      1
f(x)   -7      -1      5

Notice that for every increase of one unit in 'x', there are an increase 6 units on f(x). Hence, the gradient of the slope of f(x) is 6. 

g(x) = 5x - 4 ⇒ This function follows the general form of the straight line equation, y = mx + c, where 'm' is the gradient and 'c' is the y-intercept.
Hence, the gradient of the slope of g(x) is 5.

The slope of f(x) is steeper than the slope of g(x).

---------------------------------------------------------------------------------------------------------------

Question B:

The y-intercept is the value of y where a straight line crosses the y-axis (or when x is zero).

From the table of f(x), the y-intercept is -1 (this is the value of 'y' when 'x' is zero)

From the given function g(x) = 5x - 4, the y-intercept is -4. 

f(x) has a greater y-intercept.



The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) .

What is the slope of the line that is perpendicular to DE¯¯¯¯¯?



Enter your answer as a simplified fraction in the box.

Answers

ANSWER

[tex]- \frac{6}{7} [/tex]

EXPLANATION

The given points are

[tex](x_1,y_1)=(7,4)[/tex]
and

[tex](x_2,y_2)=(1,-3)[/tex]

The formula for finding the slope is given by,

[tex]slope = \frac{y_1-y_1}{x_1-x_1} [/tex]

We substitute the points to obtain,

[tex]slope = \frac{ - 3 - 4}{1 - 7} = \frac{7}{6} [/tex]

The slope of the line that is perpendicular to DE is the negative reciprocal of

[tex]\frac{7}{6} [/tex]

Thus, the line perpendicular to DE has slope,

[tex] \frac{ - 1}{ \frac{ 7}{6} } =-\frac{6}{7} [/tex]

Solomon is taking out a 5,320 two year loan with an APR of 10.25%. What will the finance charge be for this loan to the nearest dollar?

Answers

We know that APR means Annual Percentage Rate, so in one year we should pay that rate for the loan amount: $5,320 * 10.25 % = $5,320 * 10.25/100 = $545.30 per year Due that Solomon took the loan for 2 years, the finance charge will be: $545.30 * 2 year = $1,090.60 Rounded to the nearest dollar is: $1,091 That means after two year Solomon will have returned the loan plus the charge: $5,320 + $1091 = $6,411

jasmine has $15 dollars and save $2.50 every month . radha has $0 and save $3.50 every month. jasmines savings after x months can be represented by the function f(x)=2.5x+15. radahs savings after x months can be represented by the function g(x)=3.5x after how any moths will they both have the same amount in savings? find the value of x which f(x)=g(x)

Answers

2.5x+15 = 3.5x

subtract 2.5x from each side

15 = x

they will have the same amount after 15 months

The linear pair postulate states that if two angles form a linear pair, then they are __________ angles.

Answers

Answer:  "supplementary" .
________________________________________________

Answer:

supplementary

Step-by-step explanation:

6 ( y + 8 ) = 3 ( 2y - 7 )

Answers

There is no solutions.
      
6 ( y + 8 ) = 3 ( 2y - 7 )
6y + 48 = 6y - 21
      -48         -48
    6y = 6y - 27
    +27      +27
    33y÷33 = 6y÷33
          y=2/11 or 0.18

Hope this helps!

Which statements are true the ordered pair (1, 2) and the system of equations?

y=−2x+4 
7x−2y=3

Select each correct answer.

When (1, 2) is substituted into the first equation, the equation is true.

When (1, 2) ​ is substituted into the first equation, the equation is false.

When (1, 2) is substituted into the second equation, the equation is true.

When (1, 2) is substituted into the second equation, the equation is false.

The ordered pair (1, 2) is not a solution to the system of linear equations.

The ordered pair (1, 2) is a solution to the system of linear equations.

Answers

this is just a matter of subbing (1,2) into ur equations to see if they make the equations true

(1,2)...x = 1 and y = 2

y = -2x + 4                          7x - 2y = 3
2 = -2(1) + 4                       7(1) - 2(2) = 3
2 = -2 + 4                            7 - 4 = 3
2 = 2 (correct)                     3 = 3 (correct)

when (1,2) is subbed into the first equation, the equation is true
when (1,2) is subbed into the 2nd equation, the equation is true
the ordered pair (1,2) is a solution to the system of equations...and it is a solution to the system because it satisfies both equations...if it would have only satisfied one of them, it would not be a solution to the system of equations


Kendall is stacking boxes that are 7.5inches tall. Explain how to find the height (in inches)

Answers

You can find the height by finding out the number of boxes and plugging it into an equation.  Height = 7.5(Number of Boxes)

Final answer:

To find the height of stacked boxes, multiply the height of one box (7.5 inches) by the total number of boxes stacked.

Explanation:

Kendall is stacking boxes that are each 7.5 inches tall. To find the total height in inches of the stacked boxes, you would need to multiply the height of one box by the total number of boxes stacked. For example, if Kendall stacks 10 boxes, the calculation would be 7.5 inches x 10, which equals 75 inches. Therefore, the total height of the 10 stacked boxes would be 75 inches.

The solution to -5m = -20 is negative.

True or false

Answers

m=4, false. -5*4=20.

False

 a negative number times a negative number would have a positive answer

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The length of Lelands garden is 15m 24cm.the length of his friend garden is 2m 98cm more than Lelands . What is the length of his friend garden ? Identify the sentence that has correct subjectdashverb agreement. A. Somebody always leaves the gate unlocked, so anyone has access to the property. B. Somebody always leave the gate unlocked, so anyone have access to the property. C. Somebody always leaves the gate unlocked, so anyone have access to the property. D. Somebody always leave the gate unlocked, so anyone has access to the property. Gold has a molar mass of 197 g/mol. (a) how many moles of gold are in a 3.98 g sample of pure gold? (b) how many atoms are in the sample? My teacher said 16,19, and 20 are wrong I dont really know the correct answer please help me! Which term describes the normal process of excreting urine? 2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you! 20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of gas. In Chicago, a gallon of self-serve regular gasoline cost $1.76 in May and $2.13 in June. Write an equation that could be used to determine the cost of gasoline during any month in 2000. (Hint: use 1 to represent January.)A)y = .37x + 5B)y = .37x + 1.76C)y = .37x + 2.13D)y = .37x - .09 Z = x4 + x2y, x = s + 2t u, y = stu2; z s , z t , z u when s = 1, t = 4, u = 5 c = 0.20m+2.00 what is the charge for 2.7 mile ride? Light travels in _______. A. circles B. waves C. electricity D. opaque objects what was Vladimir, Grand Prince of Kiev, known for? cotton production spread from the coast of georgia to? If each emotion was associated with a distinct pattern of physiological arousal, then the __________ theory of emotion would be supported. To convert a fraction to a decimal, you have to divide ________ by the _________?Will give brainliest? which latin american people were skillful at making colorful woven textiles out of alpaca wool 2 paragraphs on Fredrick Douglass and captain canots perspectives on slavery and how there different QUICK PLEASE HELP ME What does the interaction between Rainsford and General Zaroff reveal about Rainsfords attitude toward Zaroff? He is in awe of Zaroffs power. He believes Zaroffs behavior is inhumane. He questions Zaroffs sanity. He is afraid of Zaroffs lack of self-control. A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How long is each entertainment segment? The number of employees a supervisor can efficiently and effectively direct is called: The most important factor determining chemical properties for an element is? Steam Workshop Downloader