Jason purchased a car for $22,995. According to his research, this make and model of car loses all of its marketable value after 9 years. If this car depreciates in a straight line form, what are the coordinates of the intercepts of the depreciation equation?

The given information is Shirley Trembley bought a house for $184,800.She put 20% down and obtained a simple interest amortized loan for the balance at 11 8 3 % for 30 years.

Hence, the correct option is (D) 5.3%.

If Shirley paid 2 points and $3,427.00 in fees, $1,102. 70 of which are included in the finance charge, find the APR.To find the APR, use the formula shown below: Wherei = interest rate / number of paymentsN = total number of paymentsn = number of payments per year Let's calculate the APR. Calculate the amount of the loan.

Shirley put 20% down, so the loan amount is

Loan amount = Total cost of the house - Down payment

Amount of the loan = 184800 - (20% of 184800)

= 184800 - 36960

= $147,840

Calculate the number of payments. Number of payments = 30 * 12 = 360 Calculate the number of payments per year. Number of payments per year Calculate the monthly payment. Monthly payment = P * r / (1 - (1 + r)^(-n)) WhereP = loan amountr = rate / number of payments per year = 11.83% / 12 = 0.9866667%n = number of payments = 360Monthly payment = 147840 * 0.9866667 / (1 - (1 + 0.9866667)^(-360))= $1,532.06Step 5: Calculate the finance charges.Finance charges = Total payments - Loan amount .

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Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.

The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.

Since the side lengths of room B are double the side lengths of room A, the area of room B is four times the area of room A.

The number of tiles needed to cover a floor is equal to the area of the floor divided by the area of each tile.

Since the boxes of tiles are identical, the number of tiles in each box must also be identical.

Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.

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Answer:

The answer is k = -12

The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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NASA needs to select a sample of 749 people to estimate the proportion of people who black out at g-forces greater than 6 with a 90% confidence level and an error of at most 0.03, given the earlier study's estimated proportion of 0.46.

To determine the sample size required for the experiment, we need to use a formula that relates the proportion, confidence level, and margin of error. The margin of error is the amount by which the sample proportion is expected to differ from the true population proportion.

The formula for calculating the sample size required to estimate the proportion with a specified level of confidence and margin of error is:

n = (z² x p x q) / E²

Where: n = sample size z = the z-score associated with the confidence level (for a 90% confidence level, z = 1.645) p = estimated proportion (from the earlier study) q = 1 - p E = margin of error (0.03 in this case)

Substituting the values in the formula, we get:

n = (1.645² x 0.46 x 0.54) / 0.03²

n = 748.44

Rounding up to the nearest integer, we get the required sample size as 749.

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Answer:

  (-2/21)√21

Step-by-step explanation:

You want the exact value of tan(arccsc(-5/2)).

We know that csc(x) = 1/sin(x), so the angle that has a csc of -5/2 will have a sin of -2/5. This means the expression can be written as ...

  tan(arcsin(-2/5))

Further, we can use tan=sin/cos to rewrite this as ...

  tan(arccsc(-5/2)) = sin(arcsin(-2/5))/cos(arcsin(-2/5))

  = (-2/5)/cos(arcsin(-2/5))

The cosine is found from the identity ...

  cos(x) = √(1 -sin(x)²)

  cos(arcsin(-2/5)) = √(1 -(-2/5)²) = (√21)/5

Using this value in the above expression, we get ...

  tan(arccsc(-5/2)) = (-2/5)/((√21)/5) = -2/√21

  tan(arccsc(-5/2)) = (-2/21)√21 . . . . . . . . . . rationalize the denominator

__

Additional comment

A good calculator can provide a head start. This one (in the first attachment) likes to leave the radical in the denominator, as it gives a more compact expression.

The second attachment shows the square of the answer using the cosecant function. This is to demonstrate the equivalence we claimed above.

The exact values of these things are often irrational square roots, so we checked that possibility by squaring the decimal result. That gave a fraction that tells us the exact value is -√(4/21) = (-2/21)√21.

Answer:

45% of the school because some will sign up

4, this is solved using the Pythagorean Theorom, a^2+b^2=c^2

Answer:

4

Step-by-step explanation:

a^2+b^2=c^2

a^2+3^2=5^2

a^2=5^2-3^2

a^2=16

root each side

a=4

The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.

The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.

In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.

The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.

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Answer:

It's 13<26

Step-by-step explanation:

If the two prisms are stacked on top of each other then the height of the prism is 30 inches. Then the volume of the prism will be 1080 in³.

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

A toy store is building a display with two rectangular prisms.

The base of each prism is a square with an edge length of 6 inches.

One prism is 10 inches tall and the other is twice as tall.

The two prisms are stacked on top of each other.

Then the total volume of the display will be

The volume of the prism will be

Volume = Base area × Height

Then the height of the second prism will be

h₂ = 2 × 10 = 20 inches

Then the volume of the prism will be

Volume = 6 × 6 × 10 + 6 × 6 × 20

Volume = 360 + 720

Volume = 1080 cubic inches

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We found sin (2x) to be 12√(37) / 37, cos (2x) to be 0, and tan (2x) to be −12/35.

Given that tan x = 6 and sin x is positive, we need to find sin (2x), cos (2x), and tan (2x).

Since we are given that tan x = 6 and sin x is positive,

we can find cos x using the identity tan² x + 1 = sec² x,

which is derived by dividing both sides of the identity sin² x + cos² x = 1

by cos² x.cos² x/cos² x + sin² x/cos² x = 1/cos² x1 + tan² x = sec² x

Hence, sec x = cos x / sin x = √(1 + tan² x) / tan x = √(1 + 6²) / 6 = √(37) / 6

Now, we can find sin (2x), cos (2x), and tan (2x) using the identities below:

sin (2x) = 2 sin x cos x cos (2x)

= cos² x − sin² x tan (2x)

= 2 tan x / (1 − tan² x) = 2(6) / (1 − 6²) = −12/35

Therefore, sin (2x) = 2 sin x cos x = 2 (sin x) (cos x / sin x)

= 2 cos x / sec x = 2 (√(1 − (tan² x))) / (√(37) / 6)

= 12√(37) / 37cos (2x) = cos² x − sin² x

= (cos x / sin x)² − 1 = (cos x / sin x) (cos x / sin x) − 1

= (cos² x − sin² x) / (sin² x) = (1 − sin² x / sin² x) − 1 = 1 − 1

= 0tan (2x) = 2 tan x / (1 − tan² x)

= 2(6) / (1 − 6²) = −12/35

Given that tan x = 6 and sin x is positive,

we found cos x = √(37) / 6 using the identity tan² x + 1 = sec² x.

Then, we used the identities sin (2x) = 2 sin x cos x, cos (2x)

= cos² x − sin² x, and tan (2x)

= 2 tan x / (1 − tan² x) to find sin (2x), cos (2x), and tan (2x).

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Answer:

b

Step-by-step explanation:

=0-(-x)

=0-×-x

=0+x

=x

Answer:

Fourth one

Step-by-step explanation:

You can find the x coordinate of the vertex (which is the axis of symmetry)

  by calculating    x =    - b/ 2a  

 ( when equation is arranged into   y =   a x^2 + bx + c    form  )

     first one   - -2/4  = 1/2

     second one   -2/ -4  = 1/2

        third one  - -2 / 4    = 1/2

          fourth one   - 2 / 4   = - 1/2   BINGO !

The area of the figure is 203 square km.

We have to determine

What is the area of this figure?

The area of the complex figure is determined in the three steps than adding all areas to get the area of the hole figure.

The area of the given figure is determined by the following formula;

\(\rm Area = length \times width\)

The width of the first part is 3 km and the length is 4km.

\(\rm Area = length \times width\\\\Area = 3 \times 4\\\\Area = 12\)

The width of the second part is = 3+ 9 = 12 km

And the length of the second part is 6 km.

\(\rm Area = length \times width\\\\Area = 12 \times 6\\\\Area = 72\)

The width of the third part is = 3+ 9 + 5 = 17 km

And the length of the third part is 7 km.

\(\rm Area = length \times width\\\\Area = 17 \times 7\\\\Area = 117\)

Therefore,

The area of the given figure is;

= 12 + 72 + 117 = 203

Hence, the area of the figure is 203 square km.

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The probability of selecting a six-person committee as per given condition is equal to 0.1623 or 16.23%.

To calculate the probability of selecting four Democrats

And two Republicans in a six-person committee from a city council consisting of five Democrats and six Republicans,

Use the concept of combinations.

The total number of ways to form a committee of six people from a council of eleven five Democrats and six Republicans is

Using combination formula,

C(n, k) = n! / (k! × (n - k)!)

where n is the total number of items and k is the number of items chosen.

Here, select four Democrats and two Republicans,

Number of ways to choose four Democrats from five

C(5, 4)

= 5! / (4! × (5 - 4)!)

= 5

Number of ways to choose two Republicans from six,

C(6, 2)

= 6! / (2! × (6 - 2)!)

= 15

To find the total number of ways to form the committee with four Democrats and two Republicans, multiply the two results,

Total number of ways

= C(5, 4) × C(6, 2)

= 5× 15

= 75

The total number of ways to form a committee of six people from the city council is,

Total number of ways

= C(11, 6)

= 11! / (6! × (11 - 6)!)

= 462

Finally, calculate the probability by dividing the favorable outcomes (75) by the total number of outcomes (462),

Probability

= 75 / 462

≈ 0.1623

Therefore, the probability of selecting a six-person committee with four Democrats and two Republicans is approximately 0.1623 or 16.23%.

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The length of the square garden is s = ( 3x - 4 ) feet

Given data ,

Let the length of the square garden be s

Now , The area of a square is given by the formula A = s², where s is the length of one side of the square.

We are given that the area of the garden is:

A = 9x² - 24x + 16

To find the length of the garden, we need to take the square root of the area:

s = √(A)

Substituting the given expression for A, we get:

s = √(9x² - 24x + 16)

We can simplify this expression by factoring the quadratic under the square root sign:

s = √[(3x - 4)(3x - 4)]

Using the property that the square root of a product is equal to the product of the square roots, we can simplify further:

s = (3x - 4)

Hence , the length of the garden is 3x - 4 feet

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6x+30=180

6×=180-30

×=150/6

×=25

6x=6×25=130

Answer:

positive

Step-by-step explanation:

if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.

Answer:

c: 128

Step-by-step explanation:

The weight of the truck,  When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is  11,788 N.

To discover the weight of the truck, we ought to utilize the concept of buoyancy.

When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.

The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.

Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:

V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³

The weight of this uprooted water is:

Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N

where ρ is the thickness of water and g is the speeding up due to gravity.

Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:

Wtruck + Wwater = Fbuoyant

where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:

Wtruck = Fbuoyant - WWater

The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:

Wtruck = 11,788 N - 0

 Wtruck ≈ 11,788 N

So, the weight of the truck is around 11,788 N. 

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The full question is

A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?

A Cp value of 2.00 indicates a standard of 2 standard deviations (sigmas).

Cp is a measure of process capability, which is the ability of a process to produce output within specification limits.

It is calculated by dividing the difference between the upper specification limit (USL) and the lower specification limit (LSL) by 6 standard deviations (sigma) of the process.

A Cp value of 2.00 means that the process is capable of producing an output within 2 standard deviations (sigmas) of the mean, which is considered a good level of process capability.

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Answer:

18/4=45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula:

Solve for t:

The surface area of the cylinder is approximately 127.17 cm².

Surface area of cylinder is the total space covered by the flat surfaces of the bases of the cylinder and its curved surface. The formula for the surface area of a cylinder is: 2πr² + 2πrh.

To solve this problem, we first need to find the radius of the cylinder. The diameter of the cylinder is 3 cm, so the radius is half of that:

r = 3/2

= 1.5 cm

We need to substitute the values we know into the formula for surface area:

= 2π(1.5)² + 2π(1.5)(12)

= 2π(2.25) + 2π(18)

= 4.5π + 36π

= 40.5π

We will now approximate the value of π to get the numerical answer, so, our Surface Area will be:

= 40.5π

= 40.5 * π

= 40.5 * 3.14

≈ 127.17 cm²

Answered question "A cylinder is 12 cm tall and has a diameter of 3 cm. What is the surface area?"

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Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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The area of the triangle with the given vertices is 4.5 square units.

To find the area of a triangle with the given vertices, we can use the formula for the area of a triangle in three-dimensional space. The formula is as follows:

Area = 0.5 * |(x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2))|

Given the vertices:

A(2, 0, 4)

B(5, 0, -3)

C(0, 3, -2)

Let's calculate the area using the formula:

Step 1: Calculate the differences in y-coordinates:

y2 - y3 = 0 - 3 = -3

y3 - y1 = 3 - 0 = 3

y1 - y2 = 0 - 0 = 0

Step 2: Calculate the differences in x-coordinates:

x1(y2 - y3) = 2 * (-3) = -6

x2(y3 - y1) = 5 * 3 = 15

x3(y1 - y2) = 0

Step 3: Calculate the differences in z-coordinates:

z1(y2 - y3) = 4 * (-3) = -12

z2(y3 - y1) = -3 * 3 = -9

z3(y1 - y2) = 0

Step 4: Plug in the values into the formula:

Area = 0.5 * |(-6 + 15 + 0)|

Area = 0.5 * 9

Area = 4.5 square units

Therefore, the area of the triangle with the given vertices (2,0,4), (5,0,-3), and (0,3,-2) is 4.5 square units.

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Answer:it’s 48 ounces

Step-by-step explanation:

Answer:

48 ounces

Step-by-step explanation:

16 ounces in a pound. 16 times 3 is 48 ounces.

Can I get a brainliest?

Answer:

Step-by-step explanation:

rectangle and triangle is here

area of triangle = 1/2 * 5 * 12 = 30

area of rectangle = 1 * 12 = 12

total is 12 + 30 = 42

A strategy which would produce a new confidence interval with an increased margin of error is to: A. use a 98% confidence level.

A confidence interval simply refers to a range of estimated values which defines the probability that a population parameter will lie within it.

Mathematically, a margin of error is calculated by using this formula:

\(MOE_{\gamma}=Z_{\gamma} \times \sqrt{\frac{\sigma^2}{n} }\)

From the above formula, we can deduce that the margin of error is directly proportional to the critical value and inversely proportional to the square root of sample size.

This ultimately implies that, increasing the confidence level from 95% to 98% would increase the critical value and by extension the margin of error and vice-versa.

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