A car dealership wants to try out a new leasing arrangment, which will allow a buyer to trade a car back to the dealership for a certain amount of credit at any time throughout the first three years of ownership. For a car in good condition, the arrangement will value the car at 1/3 the original price at the end of three years, and will depreciate the value of the car linearly over the course of the three years. What is the value of a car with initial purchase price P at the end of the second year? Write your answer as an expression in terms of P. Write the exact answer. Do not round.​

Answer:

You will pay $457.56.

Step-by-step explanation:

600 x .18 = 108  This is the amount taken off

600 - 108 = 492 Now we will take 7% off of 492

492 x .07 = 34.44

492 - 34.44 = 457.56

Equation of the line in slope form that is perpendicular to the line y =5x +6 and passes through the point (-3, 3) is equal to y = -5x -12.

As given in the question,

Equation of the given line :

y = 5x + 6

Slope of the given line m₁ = 5

Required line is perpendicular to the given line

Slope of the required line is m₂ = -5

Required line is passing through the point (x₁ , y₁) = (-3, 3)

Equation of the required line in slope form

y -y₁ = m₂( x -x₁ )

⇒ y - 3 = -5(x - (-3))

⇒ y -3 = -5x -15

⇒ y = -5x -12

Therefore, equation of the line in slope form that is perpendicular to the line y =5x +6 and passes through the point (-3, 3) is equal to y = -5x -12.

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[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &17 \end{cases} \\\\\\ A=2500\left(1+\frac{0.12}{4}\right)^{4\cdot 17}\implies A=2500(1.03)^{68} \implies A \approx 18658.27[/tex]

Answer:

18658.27

Step-by-step explanation:

On evaluating the value of the expression  [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .

In the question ,

the expression is given as

[4.2−3(2.1)] + 1 (-0.2)²

the value of (-0.2)²= (-0.2)*(-0.2)

                              = 0.04

Substituting the value of (-0.2)² in expression , we get

=[4.2−3(2.1)] + 1*0.04

=[4.2−3(2.1)] + 0.04

Solving the terms inside [ ] , we have

multiplying 3 with 2.1 we get

3*2.1= 6.3

Substituting it in the expression above we get

= [4.2−6.3] + 0.04

Simplifying further , we get

= -2.1 + 0.04

= -2.06

Therefore , on evaluating the value of the expression  [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .

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Answer:

Step-by-step explanation:

The answer is -2.06.

hope you get a good grade!!!

Using multiplication, we know that 6,603 bottles of water were sold in march by the store.

Multiplication's characteristics. Commutative Multiplication Property.

So, bottles of water the store sells in march:

Therefore, using multiplication, we know that 6,603 bottles of water were sold in march by the store.

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yes Timmy has enough pages to organize all stamps.

Given, we have 810 stamps.

He wants to organize them on pages that hold 16 stamps each.

He has 50 pages.

Therefore, 810 ÷ 16

while dividing we get 50 as the quotient and 10 as the remainder.

Which means 810 stamps are enough for 50 pages, after that 10 more remains.

Hence we get the desired result.

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Answer:

$18.4

Explanation:

At the end of the year, Ryan will have the initial saving plus the interest earned.

So, to calculate the interest earned we will use the given equation:

i = p*r*t

So, replacing p by 16, r by 0.15, and t by 1, we get:

i = 16 x 0.15 x 1

i = 2.4

Then, after 1 year, she will have:

$16 + $2.4 = $18.4

Therefore, the answer is $18.4

Answer:

P = 2(4+w)

P = 8+2w

P-8 = 2w

[tex] \frac{p - 8}{2w} = \frac{2w}{2} [/tex]

[tex] \frac{p - 8}{2} = w [/tex]

Answer:

  C)  180°

Step-by-step explanation:

You want the angle of rotation between triangle ABC and triangle A'B'C' given that the center of rotation is point P.

The angle of rotation will be the measure of the angle APA'. We see that this angle is a straight angle with a measure of 180°.

The angle of rotation is 180°.

__

Additional comment

Another clue regarding the answer is that 90° CW is equivalent to (and indistinguishable from) 270° CCW, and vice versa. This means each of the other answer choices is repeated, so one is as good as the other. The only possible single answer choice is 180°.

The angle of rotation can always be found this way. Form an angle between a preimage point, the center of rotation, and the corresponding image point. The measure of that angle is the angle of rotation.

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The warranty period should be 26 months so that the manufacturer will not have more than 8% of the food returned.

In a set with mean μ and standard deviation σ, the z-score of a measure X is given as:

Z = ( X - μ ) / σ

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

Cook-Easy blender has a mean time before failure of 32 months with a standard deviation of 4 months

Therefore,

σ = 4 and μ = 32

The warranty period should be in the 8th percentile.

Therefore, the value of X when Z has a p-value of 0.08, so X when Z = - 1.405.

So,

- 1.405 = ( X - 32 ) / 4

- 1.405 × 4 = X - 32

- 5.62 = X - 32

X = 26.38

X ≈ 26

The warranty period should be of 26 months.

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Martin's answer is wrong. The afternoon temperature in Westfield city is  -10°F.

Given,

The temperature in Westfield city in morning = -2°F

The drop down temperature by afternoon = 8°F

We have to find the temperature in afternoon:

Temperature in afternoon = Temperature in morning - Drop down temperature

= -2 - 8 = -10

The afternoon temperature in Westfield city is -10°F

Martin subtracted like:

-2 - (-8) = -2 + 8 = 6

This is wrong.

That is,

We can conclude like:

Martin's answer is wrong. The temperature in Westfield city in afternoon is -10°F

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Answer:

============================

Proportional relationship has the form of:

The value of k should be same for any pair of coordinates:

Answer:

It is 350°

Step-by-step explanation:

14*20°=280

280° x 70°= 350°

Answers:

What is the temperature of the oven 14 minutes after being turned on?

70 = initial temp

20 = degrees per minute

70 + 20t = ??

70 + 20(14) = 350

What is the temperature of the oven t minutes after being turned on?

The temperature of the over per minute is represented by the expression 70 + 20t, when t = the minutes after being turned on

Answer: 190

Step-by-step explanation:

you add all the numbers and by adding all these numbers i got 38 then u take the amount of numbers you had and multiply is of in this case it was 38x 5

Answer:

7.6

Step-by-step explanation:

How do you find the mean?

1. Add all values in your data

2. Divide the sum by how many numbers there are.

The expression represented by the mathematical sentence is 3/5a - 7 = –36

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

"The difference between three-fifths of a number and 7 is –36."

Three-fifths of a number a means multiply 3/5 and the number i.e. 3/5 * a

So, we have

The difference between three-fifths of a number and 7 is –36 ⇒ The difference between 3/5a and 7 is –36

difference means subtraction

So, we have

The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 is –36

"is" means =

So, we have

The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 = –36

Hence, the expression represented by the difference between three-fifths of a number and 7 is –36 is 3/5a - 7 = –36

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128 feet³ is the volume of a cord of wood.

What is volume in maths?

l =  8 feet

b = 4 feet

h = 4 feet

volume of a cord of wood  = l × b × h

                                             = 8 × 4 × 4

                                              = 128 feet³

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Using the midpoint formula, the coordinates of L is determined as: (-10, 10).

To find the coordinates of the midpoint of a segment, we have to apply the midpoint formula, which is: (x, y) = [(x2 + x1)/2, (y2 + y1)/2].

Given the following:

Substitute the given values into the midpoint formula:

(-4, 2) = [(x2 + 2)/2, (y2 + (-6))/2]

(-4, 2) = [(x2 + 2)/2, (y2 - 6)/2]

Solve for x2:

-4 = (x2 + 2)/2

2(-4) = x2 + 2

-8 = x2 + 2

-8 - 2 = x2

x2 = -10

Solve for y2:

2 = (y2 - 6)/2

2(2) = y2 - 6

4 = y2 - 6

4 + 6 = y2

10 = y2

y2 = 10

Therefore, L has the coordinates, (-10, 10).

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Answer:

S₁₆ = 488

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 8 and d = a₂ - a₁ = 11 - 8 = 3 , then

S₁₆ = [tex]\frac{16}{2}[/tex] [ (2 × 8) + (15 × 3) ]

     = 8(16 + 45)

     = 8 × 61

     = 488

Answer:

83.

Step-by-step explanation:

An outlier is a number in a data set that stands out from the rest.
Example: 1,2,3,89.
That was a little extreme but in the example you can see that the number isn’t even close to the others, it stands out.

Which is why I came to the conclusion that in the data set, the outlier is 83.

The mean is 2 Pounds and the standard deviation is 0.3340 for the population of products produced with this process

Sampling distributions are sets of data that can depict probability for all feasible samples taken from a population. Every one of these distributions is measured for a specific measure. The sampling distribution of means, for instance, calculates the average value for all feasible samples of a certain size.

Given that:

30 samples are used (n).

X stands for the sample mean weights.

Over 2.1 pounds make up 5% of the x values, while under 1.9 pounds makeup 5%.

Let the mean and standard deviation of the goods produced by this process be the population measurements.

According to the central limit theorem, if the sample size is greater than 30, any population distribution would result in a normal sampling distribution of means.

Let x represent the weights' sample mean.

x ∼ N(μX, σX2)

∼ N(μ, σ / √n)

∼N(μ, σ / √30)

5% of the x values are over 2.1 pounds and 5% are under 1.9 pounds, according to the statistics provided.

Therefore, P(x > 2.1) = 0.05

P [x − μ / (σ / √30) > 2.1 − μ / (σ / √30)] = 0.05

P [Z > 2.1 − μ / (σ / √30) = 0.05     --- (1)

P(x < 1.9) = 0.05

P [x − μ / (σ / √30) > 1.9 − μ / (σ / √30)] = 0.05

P [Z < 1.9 − μ / (σ / √30) = 0.05     --- (2)

The Z-scores that fulfill equations (1) and (2) using the common normal table are:

P(Z < −1.64) = 0.05

P(Z > 1.64) = 0.05     (An assortment of standard normative services)

Equations (1) and (2) are used to compare the values:

2.1 − μ / (σ / √30) = 1.64 ⇒ μ = 2.1 − 0.2994σ     -- (3)

1.9 − μ / (σ / √30) = -1.64 ⇒ μ = 1.9 + 0.2994σ     -- (4)

Adding the equations (3) and (4) :

σ = 2 − 1.9 / (0.2994) = 0.3340

In light of this, the population's mean weight is 2 pounds, and its standard deviation is 0.3340 pounds.

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The line that passes through the point (-2,-1) and has a slope of 5. The equation of the line is y + 1 = 5(x + 2).

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

Using the slope and 1 point format:   (y- y₁) = m(x - x₁)  

where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = (-2, -1)

x₁ = -2,  y₁ = -1

Using: (y- y₁) = m(x - x₁)

y - -1 = 5(x - -2)

y + 1 = 5(x + 2).

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Answer:

Hope this helps

fist add three to both sides

then subtract 4x from both sides

then divide both side with the same factor

The factored expression of the expression given as xy - 9x - 3y + 27 is (x - 3)(y - 9)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

xy - 9x - 3y + 27

Factor out the common factor from the expression

So, we have

xy - 9x - 3y + 27 = x(y - 9) - 3(y - 9)

Factor out (y - 9) from the expression

So, we have

xy - 9x - 3y + 27 = (x - 3)(y - 9)

The expression above cannot be further simplified

This means that the expression has been completely factored and cannot be further factored

Hence, the equivalent expression of the expression given as xy - 9x - 3y + 27 when it is factored by grouping is (x - 3)(y - 9)

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Answer: 35 mile/hour

Step-by-step explanation:

[tex]r=\frac{d}{t}[/tex]

∴ [tex]r=\frac{227.5}{3.5}=65[/tex]

= 65 mile/hour

Let's solve figure by figure

Figure A

This figure has a total of 5 sides, therefore it is a pentagon.

Figure B

This figure has a total of 8 sides, therefore it is an octagon.

Figure C

This figure has a total of 3 sides, therefore it is a triangle.

According to the answer table, it would be

Pentagon: Figure A

Octagon: Figure B

Hexagon: None

In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations

The amount spent on a new house exists $ 810,000.

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by an exponent that is a rational number).

If n 5, the roots of a degree n polynomial expression, or the solutions of a degree n polynomial equation, may always be expressed as algebraic expressions.

An algebraic solution is what we refer to as a solution to an equation. But if n is greater than five, the Abel-Ruffini theorem asserts that only certain of these equations have algebraic solutions.

Abby spent 1/6 of the lottery on a new car

and 3/4 of the lottery on a new house

Total expenditure = $990,000

a. Let w be the lottery winnings,

then, 1/6 x w + 3/4 x w = $990,000

b. ⇒ w/6 + 3w/4 = $990,000

simplifying the above equation, we get

⇒ (2w + 9w)/12 = $990,000

⇒ 11w = 12 x $990,000

⇒ w = 12 x $990,000/11

⇒ w = 12 x 90,000

⇒ w = $1,080,000

Therefore, the lottery winnings = $1,080,000

Amount spent on a new car = 1/6 x $1,080,000 = $ 180,000

Amount spent on a new house = 3/4 x $1,080,000 = $ 810,000

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Answer:

what level math is this I am not too familiar with it