An amount of $24,000 is borrowed for 9 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
Use the calculator provided and round your answer to the nearest dollar.

Work Shown:

-7/2 = -3.5

The two given points are (-2,-3.5) and (4,-4)

Let's use the slope formula.

\((x_1,y_1) = (-2,-3.5) \text{ and } (x_2,y_2) = (4,-4)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-4 - (-3.5)}{4 - (-2)}\\\\m = \frac{-4 + 3.5}{4 + 2}\\\\m = \frac{-0.5}{6}\\\\m = \frac{-1/2}{6}\\\\m = \frac{-1/2}{6/1}\\\\m = \frac{-1}{2}\div\frac{6}{1}\\\\m = \frac{-1}{2}*\frac{1}{6}\\\\m = -\frac{1}{12}\)

The slope is -1/12

It means "go down 1 unit, then go to the right 12 units".

You can use a tool like GeoGebra to confirm the answer is correct.

The null and alternative hypotheses are-

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

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Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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The proportion of defective circulators can be calculated by weighting the defect rates of each company by their respective proportions in the contractor's inventory. Thus, the proportion of defective circulators can be expected to be 0.0065 (0.60*0.005 + 0.40*0.010).Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

To calculate the probability that a defective circulator came from the first company, we can use Bayes' theorem.

Let A denote the event that a circulator is defective, and let B denote the event that the circulator came from the first company.

We want to find P(B|A), the probability that the circulator came from the first company given that it is defective.

This can be calculated using the formula P(B|A) = P(A|B)*P(B)/P(A), where P(A|B) is the probability of a defective circulator given that it came from the first company (0.005),

P(B) is the probability that a circulator came from the first company (0.60), and P(A) is the overall probability of a defective circulator (0.0065).

Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

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Answer:

(-3, -8)

Step-by-step explanation:

When we rotate a point 180 degrees around the origin, its ordered pair changes from (x, y) to (-x, -y). So all we have to do to figure out the point's coordinates after being rotated 180 degrees is to make both the x- and y-coordinates negative.

That gives us (-(3), -(8)) or (-3, -8). Hopefully that makes sense! :)

The coordinates for H are (9,2)

What are the coordinates?

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Here, we have

D(0, 0), E(3, 1), and F(3, 0) is similar to triangle EGH.

coordinates are (x,y) = (x+6,y+2)

F's coordinate is (3,0)

using the coordinates we get (9,2)

Hence, the coordinates of H are (9,2)

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Answer:

The slope is 30, and the y-intercept is 75.

Step-by-step explanation:

Use two points from the table, and find the equation of a line given two points.

Point 1: (1, 105)

Point 2: (3, 165)

y = mx + b

slope = m = (y_1 - y_1)/(x_2 - x_1)

m = (165 - 105)/(3 - 1) = 60/2 = 30

y = 30x + b

Use point (1, 105) for x and y.

105 = 30(1) + b

105 = 30 + b

b = 75

y = 30x + 75

The slope is 30, and the y-intercept is 75.

answer for b

catch the 9:10 bus from Beasley.

answer for c

10:06

hope this might help u.

Answer:

Answer for B is 9:10 for Beasley and The answer for C is 10:06

Step-by-step explanation:

Answer:5.6089*10^4

Step-by-step explanation:

The limit of the given function as x approaches infinity is infinity.

To find the limit of the given function as x approaches infinity, we need to analyze the behavior of the function for very large values of x.

First, we can observe that the term 49x^2 dominates the other terms in the function as x gets very large. This is because the square of any number grows much faster than a linear function (x) or a constant function (-7x).

Therefore, we can simplify the given function as follows:

lim x→[infinity] (49x^2 + x − 7x) = lim x→[infinity] 49x^2

Now we can directly evaluate the limit by applying the rule that states if a function is of the form ax^n where a and n are constants and x approachesinfinity, then the limit is infinity if n > 0 and negative infinity if n < 0.

In this case, a = 49 and n = 2, which is greater than 0. Therefore, the limit as x approaches infinity is infinity.

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Answer:

It's dividing by 3 everytime, so 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

10/6.8 = 1.47

To the nearest tenth it would be 1.5

Answer: the answer is cups and M + W + F

Answer:

0%

Step-by-step explanation:

10% + -10% = 0%, so the percent gain and loss is 0% (because both tables cost the same).

Answer:

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

Use a combination formula.

We want to select 2 pennies from a set of 6 and 2 dimes from a set of 8.

The number of ways to do this is:

Therefore, there are 420 possible sets of 4 coins that contain 2 pennies and 2 dimes.

Answer:

71

Step-by-step explanation:

Answer:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

Step-by-step explanation:

For the matrix A, we can perform the following row operations:

R2 = R2 - 42R1

This gives us the following matrix:

[1 -42 0]

[0 t-3 0]

The second row is a multiple of the first row, so it is linearly dependent on the first row. Therefore, the rank of the matrix is 2.

The rank of the matrix is a function of the parameter t. When t = 3, the second row is not a multiple of the first row, so the rank of the matrix is 3. When t ≠ 3, the second row is a multiple of the first row, so the rank of the matrix is 2.

Therefore, the rank of the matrix is given by the following function:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

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Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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Answer:

13 + 14 + 15

Step-by-step explanation:

n + (n + 1) + (n +2) =42

n + n + n + 1 + 2 = 42

3n + 3 = 42

(subtract 3 from both sides)

3n = 39

(divide both sides by 3)

n = 13

(solve)

n + (n + 1) + (n +2) =42

13 + (13 + 1) + (13 + 2) = 42

13 + (14) + (15) = 42

13, 14, 15

(Hope this helps, have a nice day!)

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Answer:

23/63

Step-by-step explanation:

1 and 2/3 can also be writen as 5/3

4 and 1/5 can also be written as 21/5

5/3 divided by 21/5 can be rewritten as 5/3 multiplied by 5/21

multiply the numerators (top numbers) for the numerator of the answer

             5 x 5 = 25

multiply the denominators (bottom numbers) for the denominator of the answer

             3 x 21 = 63

put the numerator and denominator together as the fraction 25/63

25 and 63 share no common factors, so the fraction cannot be further simplified

Answer:

#3

Step-by-step explanation:

The line follows an inverted slope format, indicated by -2/3. Or down 2, and 3 to the right after going up by 4, creating the line. The other equations would flip the line horizontally because of a positive slope.

Answer:

111

Step-by-step explanation:

(4×3+3×2-17×-12)÷(×+2)

(12+6+204)÷(2)

(222)÷(2)

222÷2

111

Answer:

x = -1.5

Step-by-step explanation:

16x - 5 = 18x -2

Subtract 16x from each side

16x-16x - 5 = 18x-16x -2

-5 = 2x-2

Add 2 to each side

-5+2 = 2x-2+2

-3 = 2x

Divide by 2

-3/2 = 2x/2

-3/2 =x

Answer:

-3/2

Step-by-step explanation:

To solve this problem, start by moving all of your x's on to one side, and all of your constants on to the other as such:

16x-5=18x-2

     +2       +2

16x-3=18x

-16x    -16x

-3=2x

-3/2 = x

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Answer:

La longitud del segundo pedazo es 22 cm.

Step-by-step explanation:

A partir de la información proporcionada, sabes que la suma de los tres pedazos es igual a 140:

x+y+z=140 (1)

Además, sabes que el primer pedazo es 8cm más largo que el doble de la longitud del segundo pedazo, lo que puedes expresar de la siguiente forma:

x=2y+8 (2)

También sabes que el tercer pedazo es tres veces la longitud del segundo pedazo:

z=3y (3)

Puedes reemplazar (2) y (3) en (1) y despejar y:

2y+8+y+3y=140

6y+8=140

6y=132

y=132/6

y=22

De acuerdo a esto, la respuesta es que la longitud del segundo pedazo es 22 cm.

If electricity costs $0.031076 per kilowatt and 3108 kilowatts were used, what is the cost?
To find the cost, we can multiply the cost per kilowatt by the number of kilowatts used.

Multiplication of decimals can be used here.

Cost = Cost per kilowatt * Number of kilowatts used
In this case, the cost per kilowatt is $0.031076 and the number of kilowatts used is 3108.
Cost = $0.031076 * 3108                                                                                                                                                                                  
By multiplying the decimal by the whole number we get:                                                                                                                        Now we can calculate the cost:
Cost = $96.490608
Therefore, the cost of using 3108 kilowatts of electricity at a rate of $0.031076 per kilowatt is $96.490608.

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\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{3}~~,~~\underset{k}{1})} \qquad \stackrel{radius}{\underset{r}{2}} \\\\[-0.35em] ~\dotfill\\\\( ~~ x - 3 ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x -3)^2 + (y -1)^2 = 4 \\\\\\ (x^2-6x+9)+(y^2-2y+1)=4\implies x^2-6x+y^2-2y+10=4 \\\\\\ ~\hfill~ {\Large \begin{array}{llll} x^2-6x+y^2-2y+6=0 \end{array}} ~\hfill~\)

area of circle= 22/7×6×6

= 22/7×36

= 3.1×36

= 113.14

Answer:

\(36\pi\)

Step-by-step explanation:

\(a = {6}^{2} \times \pi = 36\pi\)

The answer of the given question is Integration testing.

Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.

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Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.

Integration testing focuses on the interactions between different components of a system. It aims to identify any issues that may arise when the components are combined, such as communication errors, data discrepancies, or incorrect functional behavior. This type of testing is typically performed after unit testing, which tests individual components in isolation, and before system testing, which evaluates the entire system's functionality.

In summary, integration testing is a crucial step in the software testing process that ensures individual components work together seamlessly, helping to identify and resolve defects that may occur when these components are connected.

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