1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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Find domain of the function
F(x)=7x+4
Answer:
all real numbers or infinity
Step-by-step explanation:
this function is linear and linear functions always have an infinite domain and range
Asking again because someone answered with something completely random when I asked it the first time. Please answer ASAP.
Answer:
C
Step-by-step explanation:
The lines match the problem
===========================================
Explanation:
The piecewise function is
\(f(x) = \begin{cases} -3 \ \text{ if } \ -2 < x \le -1\\ -2 \ \text{ if } \ -1 < x \le 0\\ -1 \ \text{ if } \ 0 < x \le 1\\ \end{cases}\)
It breaks down into these three cases
If \(-2 < x \le -1\), then f(x) = -3If \( -1 < x \le 0\), then f(x) = -2If \(0 < x \le 1\), then f(x) = -1Only one case is possible at a time. The cases do not overlap.
So in effect, f(x) has a split personality. It changes identity based on what the x input is.
To graph this, we'll graph the pieces of the linear functions y = -3, y = -2 and y = -1. They are horizontal lines.
We only graph y = -3 when \(-2 < x \le -1\) as described in the first piece. We only graph y = -2 when \( -1 < x \le 0\) based on what the second piece says.Lastly, we only graph y = -1 when \(0 < x \le 1\)What results is shown in graph C. We have a step function or staircase function. The horizontal pieces of the staircase are visible, but the vertical portions are not. So the horizontal pieces are completely separate from one another. Some graphing calculators may erroneously show the vertical portions (due to how some graphing calculators have a knack for wanting to connect all the dots with one smooth curve).
Note the use of open holes vs closed circles at the endpoints of each piece. Open holes signal that the point is not part of the graph. Think of a pothole in the road that you cannot drive on. In contrast, a closed circle endpoint is part of the graph. The open holes correspond to any time we don't have "or equal to" in the inequality sign.
XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.
The values of the constants m and c include the following:
m = -1.3
c = 7.1
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;
2 = -7m + c ...equation 1.
-11 = 3m + c ...equation 2.
By solving the system of equations simultaneously, we have:
2 = -7m - 3m - 11
11 + 2 = -10m
13 = -10m
m = -1.3
c = 7m + 2
c = 7(-1.3) + 2
c = -7.1
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Richard has 3 times as many music CDs as Benny does.
If Richard has y CDs, the number of CDs Benny has is given by the expression
. If Richard has 30 CDs, Benny has
CDs.
Answer:
y = 10 CDs
Step-by-step explanation:
30 divided by 3 equals 10
10 times 3 equals 30
Answer:
first blank is y/3
second blank is 10
Step-by-step explanation:
what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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Si el volumen de una caja de cartón de forma cúbica es de 216 dm³
The volume of the cardboard box is approximately 13197.402 cubic inches.
The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.
1 dm (cubic decimeter) is equivalent to 1 liter.
To convert dm³ to cubic inches, we can use the following conversion factors:
1 dm³ = 61.0237 cubic inches
Using this conversion factor, we can calculate the volume of the box in cubic inches:
The cube carton volume is 216 dm3 and the cube edge value is 6 dm.
The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.
To find the edge (side) value, you can solve for the volume formula as follows:
edge 3 = volume.
edge = ∛ volume,
Where ∛ is the cube root.
Applying this formula to the given problem gives edge = ∛(216 dm³).
Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.
Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³
= 13197.402 cubic inches
Question :- If the volume of a cubic cardboard box is 216 dm³
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A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?
Answer:
3%
Step-by-step explanation:
They made 97+3 total jars, 3 out of 100 is 3 percent.
What is the value of space 2.18 minus 0.3 ?
Answer: 2.18- .3= 1.88
Step-by-step explanation:
What is the correct solution to the expression 3+5^2. Using scientific calculator
Answer:
5^2 is 5 squared in which case this Is essentially 3+25 which is 28.
Step-by-step explanation:
Its simple 5^2 Is 5 times 5, 5^3 is 5 times 5 times 5 and so on.
Jill rides a train for 2/3 of an hour and goes 38 miles. How many miles per hour is her train going?
The train in which Jill is travelling is going at the speed of 57 miles per hour.
Distance travelled = 38 miles
Time taken = 2/3 hour
Speed at which the train travels = 38 ÷ 2/3 = 57 miles per hour
Hence the train travels at the speed of 57 miles per hour
Scalar numbers represent the magnitude of an object's position change over time or the amount of position change per unit of time.
The average speed of an object in a given time interval is just the distance travelled divided by the duration of the interval.
Average speed, as opposed to instantaneous speed, is defined as the total distance travelled divided by the time interval.
Speed just describes how rapidly an object moves, whereas velocity describes how fast and in which direction the thing moves.
A car's speed has been stated if it is said to move at 60 km/h. However, if the car is claimed to be travelling north at 60 km/h, its velocity has now been given.
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The major characteristic of the data that affects the selection of appropriate statistics is:
Group of answer choices
the level of measurement
the size of the population.
the representativeness of the sample
the number of cases
The major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.
What is statistics?
Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods to gather, summarize, and interpret data, which can be used to make decisions or draw conclusions about a population based on a sample of that population.
The level of measurement determines the type of statistical analysis that can be used to analyze the data. Different types of statistical methods are used depending on the level of measurement of the data.
For example, if the data is nominal (categorical data with no inherent order), then we might use frequency distributions or chi-square tests to analyze it. If the data is interval or ratio (continuous data with an inherent order and equal intervals between values), then we might use measures of central tendency and dispersion, correlation, or regression analysis to analyze it.
Therefore, the major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.
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5x + 8 = ______, when x = 4
Answer:
28
Step-by-step explanation:5 times 4 plus 8 is 28
A class sold tickets to their school play. Each of the 23 students in the class sold 4 tickets. The cost of each ticket was 7$
Answer:
if the question is "how much money they got all of them combine" then it's $644
Step-by-step explanation:
23 students sold 4 tickets each which cost 7
23×3×7
If two lines intersect and one of the angles formed has a measure of 67º, which of the following statements are true? Explain your answers
More than one answer may be correct, select all correct answers
A: Vertical angles are congruent, therefore another angle must equal 67º
B: The lines form linear pairs
C: The lines form complementary angles
D: One of the angles formed measures 23º
E: Two of the angles formed measure 113º
F: Two of the angles formed will have a sum of 180º
G: None of the above
The statements that are true are:
A : Vertical angles are congruent, therefore, another angle must equal 67°
F: Two of the angles formed will have a sum of 180°
What happens when two lines intersect?
When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°
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How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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How many gallons of paint should be purchased to paint 10 motel rooms as shown in the illustration?
(Do not paint the floor.) It takes 1 gal to paint 240 square feet (ft 2).
10 ft
8 ft
20 ft
Solve for b. —11b + 7 = 40 b =
Answer:
-3
Step-by-step explanation:
-11(-3)+7=40
33+7=40
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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Julian walked from his house for 2 hours at a speed of 4 miles per hour to the library. he then returned home by bicycle at a speed of 12 miles per hour. find his average speed for the whole entire journey in miles per hour
Smallest successive composites with gap
17, 73, 2, 19
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER
The Value for x and y as follow:
A) x=2 and y=-8
B) x = -2 and y = 5
C) x = -9/4 and y= -5/2
What is Elimination Method?The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.
Given:
A) 9x- 2y = 34...............(1)
5x+ 2y = -6..............(2)
Adding equation (1) and (2) we get
9x -2y = 34
5x + 2y = -6
_____________
14x = 28
x= 28/14
x= 2
and, 5x +2y= -6
5(2) + 2y= -6
2y = -6 -10
y = -8
B) x+ 6y = 28.....................(3)
2x -3y = -19................(4)
Multiply equation (2) by 2 we get
4x - 6y = -38.......................(5)
Adding equation (3) and (5), we get
x + 6y = 28
4x- 6y = -38
___________
5x = -10
x= -2
and, x+ 6y= 28
-2 +6y= 28
6y= 30
y=5
C) 8x -6y = -3................(6)
6x -5y = -1......................(7)
Multiply equation (6) by 5 and equation by (6), we get
40x - 30 y = -15
36 x - 30y = -6
- + +
____________
4x = -9
x= -9/4
and, 8x - 6y = -3
8(-9/4) - 6y = -3
-18 - 6y= -3
-6y = 15
y = -5/2
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**Image **Find the value of x. Show your steps.
The value of x is 9 by using the concept of corresponding angles.
What are corresponding angles?Corresponding angles are the angles formed when two parallel lines are crossed by any other line. It may also be generated in matching edges(corners) or corresponding corners with the transversal.
From the information given:
(8x + 9) is corresponding to the opposite side of the transversal with an angle of 99 degrees.
Using the sum of angles on a straight line.
Step 1: (8x + 9)° + 99 = 180°
Step 2: 8x + 108 = 180
Step 3: 8x = 72
Step 4: x = 9
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Evaluate 2p - 3r + t for p = 10,
r = -4 and t = 5.
13
37
8
Answer:
37Step-by-step explanation:
\(2p - 3r + t\)
p = 10
r = -4
t = 5
Substitute values into the given equation
\(2(10) - 3( - 4) + 5\)
Simplify
\(20 + 12 + 5 \\ \\ = 37\)
(9,-3) and (9,-4) the slope is what
Answer:
Undefined
Step-by-step explanation:
3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.
Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is
The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.
Let's see how to calculate Mean, Median, Mode and Midrange.
Mean = 13 + 15 + 18 + 18 + 21 / 5
Mean = 85 / 5
Mean = 17
Median = 18 (as it is the middle term of the data)
Mode = 18 (as it is most recurring number)
Midrange = 21 + 13 / 2
Midrange = 34 / 2
Midrange = 17
Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
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What kind of building material has the cheapest premiums?
Answer:
hey its me manisha
are there
The circulation of a newsletter decreased from 3,200 to 2,400. What was the percent of the decrease in circulation?
Answer:
75%
Step-by-step explanation: