A man bought a lot worth 1997834 if paid in cash. By installment, he paid a down payment of 209054, 322873 at the end of one year, 424221 al the end of 3 years and final payment at the end of five years. What is the final payment if the interest was 20% cpd annually?

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Answer:

Step-by-step explanation:

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

Answer:

the kahn anwser is c

Step-by-step explanation:

Answer:

this is hard to tell and sorry if I'm wrong but I would say it is only a

Step-by-step explanation:

Aanything in the shaded area is correct if it's not it's wrong

the range of the graph is simply the region that it covers vertically, well, from the picture we can see the graph goes down down down to -2 vertically, makes an U-turn and goes back up, the arrowheads mean it keeps on going to infinity, so vertically the graph never goes below -2, so its range is just from -2 up to infinity, or in interval notation [ -2 , +∞ ).

Answer:

8u - 20

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

u just graph all the points and connect the lines; then see where the two lines meet :P

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

So, 56 + 58 + x = 180

      114 + x = 180

         x = 116

Now ∠ 1 + ∠x = 180      [ straight line angles]

       ∠ 1 + 66 = 180

        ∠1 = 180 - 66 = 114°

OR

You can use the rule : Exterior angle = sum of 2  interior opposite angles.

56 + 58 = ∠1

114 = ∠1

Answer:

P=7.75t+13

t = 19 weeks

Step-by-step explanation:

Linear Modeling

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict future behaviors.

The linear function can be expressed in the slope-intercept format:

y = mx + b

Another equation of the line can be used when two points are given.

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

The population of beetles is a situation where we must apply linear modeling. Two points are given. For time t=0, the population is P=13. The point is (0,13). For time t=8, P=75. The point is (8,75).

Find the equation of the line:

\(\displaystyle P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)\)

\(\displaystyle P-13=\frac{75-13}{8-0}(t-0)\)

\(\displaystyle P-13=\frac{62}{8}t\)

\(\displaystyle P-13=7.75t\)

The explicit formula is:

P = 7.75t + 13

Now we find when the beetle population is 161:

161 = 7.75t + 13

161 - 13 = 7.75t

7.75t = 148

t = 148/7.75

t = 19 weeks

Hello there! :)

The Distributive property states:

a(b+c)=ab+ac

So, we know what a is. It's 5.

b=3

c=0.4

5(3+0.4)

5*3+5*0.4

15+0.2

15.2

Hope it helps!

\(GraceRosalia\)

Answer: y = x + 6

Step-by-step explanation:

\(\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)\)

\(\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}\)

\(m=-1\)

\(\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}\)

\(\left(-1\right)m_p=-1\)

\(\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}\)

\(m_p=1\)

\(\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)\)\(\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b\)

\(y=x+b\)

\(\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4\)

\(4=\left(-2\right)+b\)

\(-2+b=4\)

\(\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\)

\(-2+b+2=4+2\)

\(\text{Simplify}\)

\(b=6\)

\(\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6\)

\(y=x+6\)

The value of derivative f'(2) is 4 cos(2).

The given function is f(x) = 4 sin(x). We need to find f'(2), which represents the derivative of f(x) evaluated at x = 2.

To find f'(x), we differentiate f(x) using the chain rule. The derivative of sin(x) is cos(x), and the derivative of 4 sin(x) is 4 cos(x).

Applying the chain rule, we have:

f'(x) = 4 cos(x)

Now, to find f'(2), we substitute x = 2 into the derivative:

f'(2) = 4 cos(2)

We are given the function f(x) = 4 sin(x), which represents a sinusoidal function. To find the derivative, we use the chain rule. The derivative of sin(x) is cos(x), and since there is a coefficient of 4, it remains as 4 cos(x).

By applying the chain rule, we find the derivative of f(x) to be f'(x) = 4 cos(x). To evaluate f'(2), we substitute x = 2 into the derivative, resulting in f'(2) = 4 cos(2). Thus, f'(2) represents the slope or rate of change of the function at x = 2, which is 4 times the cosine of 2.

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Answer:

\(\frac{31}{50}\)

Step-by-step explanation:

First, find how many have an Atlantic or Pacific coastline:

14 + 5

= 19

Then, subtract this from 50:

50 - 19

= 31

This means 31 out of the 50 states have neither coastlines:

This is \(\frac{31}{50}\) as a fraction

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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[ 18  5  2  ] is  the sum of a vector .

What, in the simplest terms, is a vector?

A quantity or phenomena with both magnitude and direction being independent of one another is called a vector.

                           The phrase also describes how such a quantity is represented mathematically or geometrically.

                                  Velocity, momentum, force, electromagnetic fields, and weight are some natural examples of vectors.

Since u₁ , u₂ = 0

So, u₁, u₂ is an orthogonal set is W .

Since orthogonal  vector are linearly independent , it follows that { u₁, u₂} is linearly independent set .

 \(\frac{u_{1} . y}{u_{1} u_{1} } u_{1} + \frac{u_{2}. y }{u_{2}u_{2} } u_{2}\)

\(\frac{19 + 0 - 3}{1 + 0 + 1} [ 1 0 -1 ] + \frac{38 + 1 + 6}{4 + 1 + 4} [ 2 1 2 ]\)

 = 16/2 [ 1 0 1 ]  + 45/9  [ 2 1 2 ]

  = 8 [ 1 0  - 1 ] + 5 [ 2  1   2  ]

  = [ 18  5  2  ]

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Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

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

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

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

      x^2-2  = x^2-2

Step-by-step explanation:

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Hi my lil bunny!

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Let's solve your equation step-by-step.

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

Step 1: Simplify both sides of the equation.

\(x^2 - 2x - 15 = x^2 - 2x - 15 - x^2\\-2x - 15 = -2x - 15\)

Step 3: Add 2x to both sides.

\(-2x - 15 = -2x - 15\\-15 = -15\)

Step 4: Add 15 to both sides.

\(-15 + 15 = -15 + 15 \\0 = 0\)

Answer : All real numbers are solutions.

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

The optimal, vertex, value will be a minimum

Step-by-step explanation:

The given zeros of the quadratic relation are 3 and 3

The sign of the second differences of the quadratic relation = Positive

Whereby the two zeros are the same as x = 3, we have that the point 3 is the optimal value or vertex (the repeated point in the graph of the quadratic relation) of the quadratic relation

Whereby, the table of values for the quadratic relation from which the second difference is found starts from x = 3, we have;

To the right of the coordinate points of the zeros of the quadratic relation, the positive second difference in y-values gives as x increases, y increases which gives a positive slope

By the nature of the quadratic graph, the slope of the line to the left of the coordinate point of the zeros of the quadratic relation will be of opposite sign (or negative). The quadratic relation is cup shaped and the zeros, therefore, the optimal value will be a minimum of the quadratic relation

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

20x1+50x3 = 170 MPH

Step-by-step explanation:

Therefore, he traveled 170 mph

Answer:

Be careful as StudyIsland/Edmentum will change up a few numbers on you.

In my case: 3 was changed for 2.

__________________

Its 20 mph x 1 hr = 20

Then 50 mph x 2hr = 100

Add both and answer is: 120

Just took test.

The error interval for x, given that truncating x to 2 decimal places gives a result of 1.75, is 1.745 ≤ x ≤ 1.755.

Truncating a number to 2 decimal places means we keep only the first two digits after the decimal point and discard any remaining digits. Therefore, if we truncate x to 2 decimal places, we get:

truncated(x) = 1.75

To find the error interval for x, we need to find the range of values that x could take such that truncated(x) is still equal to 1.75. Let's call this range of values [a, b], where a is the smallest possible value of x and b is the largest possible value of x.

To get started, we can write:

a ≤ x ≤ b

If we truncate a to 2 decimal places, we get:

truncated(a) ≤ truncated(x) = 1.75

Since we want truncated(x) to be exactly 1.75, we can write:

truncated(a) = truncated(x) = 1.75

This means that a must be a number between 1.745 and 1.755 (inclusive) in order for truncated(a) to equal 1.75.

Similarly, if we truncate b to 2 decimal places, we get:

truncated(x) = truncated(b) = 1.75

This means that b must be a number between 1.745 and 1.755 (inclusive) in order for truncated(b) to equal 1.75.

Therefore, the error interval for x is:

1.745 ≤ x ≤ 1.755

In other words, the true value of x could be anywhere within this interval, and truncating it to 2 decimal places would give us a result of 1.75.

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The correct answer is (a). fail to reject the null hypothesis at null= 0.05 and all larger null.

The null hypothesis (H0) in this case is that β1=0, meaning that there is no relationship between the independent and dependent variables in the regression study.

The alternative hypothesis (Ha) is that β1≠0, meaning that there is a relationship between the independent and dependent variables.

The 95% confidence interval for β1 is (-5.65, 2.61). This means that we are 95% confident that the true value of β1 falls within this range. Since the range includes 0, we cannot reject the null hypothesis that β1=0.

Therefore, we fail to reject the null hypothesis at a significance level of 0.05 (null=0.05) and all larger significance levels.

In other words, there is not enough evidence to suggest that there is a relationship between the independent and dependent variables in the regression study, so we cannot reject the null hypothesis.

Hence, fail to reject the null hypothesis at null=0.05 and all larger null is the correct answer, i.e., option (a)

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The statement "Any four vectors in ℝ³ are linearly dependent" is false.

In ℝ³ (three-dimensional Euclidean space), it is not true that any four vectors are always linearly dependent. Linear dependence means that one or more of the vectors can be expressed as a linear combination of the others. However, in ℝ³, it is possible to have four linearly independent vectors that cannot be expressed as linear combinations of each other.

As for the expression "l(x) = 5x₁ + 9t," it appears to be a linear equation involving two variables, x₁ and t. However, it is not clear what the context or purpose of this equation is. If you could provide more information or clarify the question, I would be happy to assist you further.

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The set of integers for which p(k) is true is all even integers for which p(k) is proved true if we also prove that p(k)^p(k 2)=> p(k-2).

Considering that p(- 2) and p(0) are valid and expecting that p(k)^p(k+2) => p(k-2), we can decide the arrangement of numbers k for which p(k) is valid by acceptance. In particular, we can show that p(k) is valid for all even numbers k by enlistment, as follows.

To begin with, since p(- 2) and p(0) are valid, the base instance of k = - 2 is valid.

Then, expect that p(k) is valid for some even number k. Then, at that point, utilizing the given ramifications, we have p(k+2) is valid.

At long last, utilizing a similar ramifications once more, we have that p(k-2) is valid. Accordingly, by acceptance, we have shown that p(k) is valid for all even numbers k.

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Answer:

(1,-1)

Step-by-step explanation:

The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.

The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.

The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.

Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:

I = [[1, 0],

    [0, 1]]

In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.

Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

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Answer: r=-7/6y+7/2

Step-by-step explanation:

Step 1: Add -5 to both sides.

6r+5+−5=−7y+26+−5

6r=−7y+21

Step 2: Divide both sides by 6.

6r/6=-7y+21/6

Answer:

An angle whose measure is equal to 90° is called a right angle. A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.