Given below are lease terms at the local dealership. What is the total cash
due at signing?
Terms:
• Length of lease = 18 months
• MSRP of the car = $22,750
• Purchase value of the car after lease = $16,900
• Down payment = $1800
• Monthly payment = $425
• Security deposit = $400
• Acquisition fee = $300

Answer:

less than 52 or  < 52

Step-by-step explanation:

x - 15 < 37

  +15   +15

x < 52

Answer:

Step-by-step explanation:

The diagram is not given in this question, but we can proceed anyways.

from the problem statement we can observe that the radius of the arc is same as the width of the door

a. the radius is 4.2 cm

b. the length of the arc given that the central angle is 25°  can be gotten using the formula stated bellow

arc length = 2 π r *(∅/360)

substituting we have

arc length = 2*3.142*(225/360)

arc length= 6.284*0.625

arc length=3.92 cm

9514 1404 393

Answer:

  f(g(x)) = -3x^2 -2x -3

Step-by-step explanation:

Given:

  f(x) = -x-7

  g(x) = 3x^2 +2x -4

Find:

  f(g(x))

Solution:

Substitute per the function definitions.

  f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7

  f(g(x)) = -3x^2 -2x -3

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

y - 1 = (1/2)(x - 2)^2

Step-by-step explanation:

The appropriate equation for such a parabola has the form

y - k = a(x - h)^2, where (h, k) is the vertex:

y - 1 = a(x - 2)^2.  Since the y-intercept is (0, 3), we substitute 3 for y and 0 for x, obtaining:

3 - 1 = a(0 - 2)^2, or

2 = a(4).  Therefore, a = 1/2, and the equation of this parabola is:

y - 1 = (1/2)(x - 2)^2

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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In the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

Angles that add up to 180 degrees are referred to as supplementary angles.

For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.

Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary.

We say two angles "Complement" one other when their sums equal 90 degrees.

So, we already are aware of that:

∠A and ∠C are supplementary

∠A is 74°

Then, ∠C would be:

∠A + ∠C = 180

74 + ∠C = 180

∠C = 180 - 74

∠C = 106

Therefore, in the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.

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Correct question:

Angles A and C are supplementary. Find the measure of angle C.

(Refer to the image below)

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Recall that two terms are called like terms if the variables in the terms are the same and have the same exponents, meaning they can be added or subtracted.

For example, 3x and 6x are like terms because the variable x is the same for both terms, and when adding those terms I get a simplified version of the expression:

Now, if instead, I have 3x and 6y, the variable is not the same, so when adding them I get:

there is no way to simplify the sum. 3x and 6y are not like terms.

Therefore, the only like term to 3 in the given options is 7.

Answer: 3 and 7 are like terms.

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies.

Step-by-step explanation:

Answer:

Basically a Linear function is a function that has at least both of these:

Step-by-step explanation:

1. A slope, Requirement: rate of change stays constant)

2. One input goes to goes to only one output(however a output can have two different inputs but they must only go to that one output).

example:

x     |   y

________

0    |    25

2    |    85

4    |    145

6    |   205

The slope for that example was 60.

you can use slope intercept form to find your answer equation being:

Y = mx + b

y  =  total

m = slope

x =  domain

b = y- intercept

Answer:

0=0

Step-by-step explanation:

5(x+2) -3x=2(x+5)

5x+10-3x=2x+10

5x-3x+10=2x+10

2x+10=2x+10

0=0

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

14.

-3(6-r)=6

6-r=6/-3

6-r=-2

6+2=r

r=8

error is:

-18+3r not -18-3r

Answer:

hope it's helps you ☺

have a good day

Answer:

see explanation

Step-by-step explanation:

a proportional relationship has equation

y = kx ← k is the constant of proportion

using the ordered pair (2, 3 ) from the table , then

3 = 2k ( divide both sides by 2 )

1.5 = k

y = 1.5x ← equation of proportion

when x = 14 , then

y = 1.5 × 14 = 21

table is then

x | 0   2   8   14

y | 0   3   12   21

The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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8

Step-by-step explanation:

Answer:

\(m = 13 / -3 = -4.33333\)

Step-by-step explanation:

\(Equation: y = -4.33333x - 28.33333.\)

\(Y - intercept -28.333\\ \)\(Angle (θ) -77 deg \)

\(θ = arctan(-4.33333) = -7.70054 \)

\(Percentage grade-433.3% \)

\(Distance (d) 13.342 \)

\(Distance between x's (Δx) 3 \)

\(Distance between y's (Δy) 13 \)

\(d = √(Δy2 + Δx2) = √(132 + -32) = √178 = 13.34166\)

Answer:

16000

Step-by-step explanation:

it works bebeaoc usfztbee jdxeevehe ue

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Answer:

5

Step-by-step explanation:

in similar figures the side lengths must be proportional:

4/8 = x/10 cross multiply fractions

40 = 8x divide both sides by 8

5 = x

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

After paying 1/3 in tax, 2/3 of Sally's paycheck remains.

After paying 2/5 of that, 3/5 of that 2/3 remains. The remaining fraction is ...

  (3/5)(2/3) = 2/5

After the indicated payments, 2/5 of Sally's paycheck remains.

Answer:

2/5

Step-by-step explanation:

3/5 * 2/3 = 2/5

The true statement regarding the line of best fit is that C. the equipment starts producing items after about 20 minutes of warming up

The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points.

The equipment starts producing items after about 25 minutes of warning up. This is false because machine takes 20 minutes to produce the items.

The equipment starts producing items after about 20 minutes of warming up. This is True.

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

It took too long

It took too long

It took too long for you to call back

And normally I would just forget that

Except for the fact it was my birthday

My stupid birthday

Answer: 19. 35

20. 80

Step-by-step explanation:

I can explain if you want

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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