Avicenna, a major inurance company, offer five-year life inurance policie to 65-year-old. If the holder of one of thee policie die before the age of 70, the company mut pay out $23,900 to the beneficiary of the policy. Executive at Avicenna are conidering offering thee policie for $956 each. Suppoe that for each holder of a policy there i a 4% chance that they will die before the age of 70 and a 96% chance they will live to the age of 70

5 out of 30 and 7 is greater than

Answer:

y=72

Step-by-step explanation:

the step by step is in the attachment above

This proves that for every solution y of Ax = b, there is a solution v of the homogeneous linear system Ax = 0 such that y = p + v.

Given that the linear system Ax = b has a particular solution p.

We are supposed to show that for every solution y of Ax = b, there is a solution v of the homogeneous linear system Ax = 0 such that y = p + v.

Hint: Consider y - p.

To prove this, we can consider the difference between the two solutions y and p and take that as our solution v of Ax = 0.

Since p is a solution to Ax = b,

it follows that Ap = b.

Since y is also a solution to Ax = b,

it follows that Ay = b.

We can subtract the two equations to get:

Ay - Ap = 0 which gives us:

A(y - p) = 0

So, the solution to Ax = 0 is y - p,

which means that there exists some vector v such that Av = 0 and y - p = v.

Therefore, we have y = p + v where v is a solution of Ax = 0.

Hence, this proves that for every solution y of Ax = b, there is a solution v of the homogeneous linear system Ax = 0 such that y = p + v.

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Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

Answer:

(B)   is true    

4 x + y = 4 * (-6) + 0 = -24   and is on the line

Answer:

  B. (-6, 0) is on the line

Step-by-step explanation:

The points of concern are those where y=0. Using that in the equation, we find the x-value to be ...

  4x +0 = -24

  x = -24/4 = -6

That is, the point (-6, 0) is on the line and is a solution to the equation.

__

Additional comment

Answer choices C and D can be rejected immediately, because they are nonsense. If a point is on the line, it IS a solution. It will not be on the line if it is not a solution.

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer:

\( \huge{ \fbox{ \text{3}}}\)

Step-by-step explanation:

\( \sf{A ( \: a \:, b \: )\: \longrightarrow{ \: (x1 \:, y1)}} \)

\( \sf{ \: B( - 9 \: 6) \: \longrightarrow{ (x2 \:, y2)}}\)

\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} )}}\)

\( \mapsto{ \sf{( - 3 \:, 5 \: ) \: = \: ( \frac{a + ( - 9)}{2} \:, \frac{b + 6}{2}}}) \)

\( \mapsto{ \sf{( - 3 \:, 5) \: = \: ( \: \frac{a - 9}{2} \:, \frac{b + 6}{2} )}}\)

\( \sf{ \mapsto{ - 3 = \frac{a - 9}{2} }}\)

Solve for a

\( \mapsto{ \sf{ - 6 = a - 9}}\)

\( \mapsto{ \sf{a - 9 = - 6}}\)

\( \mapsto{ \sf{a = - 6 + 9}}\)

\( \mapsto{ \sf{a = 3}}\)

The value of a is 3

Hope I helped!

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Answer:

(-6,5.5)

Step-by-step explanation:

(-9,6)-(-3,5)

-9+-3/2       6+5/2

x=-6 y=5.5

Answer:

median, and mode

Step-by-step explanation:

The dimensions of the field should be 125m by 100m to enclose the maximum area.

To solve this problem, we can use the fact that the area of a rectangle is given by A = lw, where l and w are the length and width of the rectangle, respectively. Since the field is to be subdivided into four congruent plots, we can express the width in terms of the length as w = (1/4)(l).

We can then use the fact that the total length of fencing available is 6000m to set up an equation for the perimeter of the rectangle, which is given by P = 2l + 5w. Substituting w with (1/4)(l), we get P = 2l + 5((1/4)(l)) = (9/2)l.

Solving for l in terms of P, we get l = (2/9)P. Substituting this expression for l into the equation for the area, we get A = (1/4)(l)(w) = (1/4)(l)((1/4)(l)) = (1/16)l^2.

We can now express the area in terms of P as A = (1/16)((2/9)P)^2 = (4/81)(P^2). To find the maximum area, we can take the derivative of A with respect to P and set it equal to zero, which gives dA/dP = (8/81)P = 0. This implies that P = 0 or P = 81/8. Since P cannot be zero, we have P = 81/8.

Substituting this value of P back into the equation for l, we get l = (2/9)(81/8) = 18.75. Finally, substituting l and w = (1/4)(l) into the equation for A, we get A = (1/16)(18.75)(4.6875) = 117.1875. Therefore, the dimensions of the field should be 125m by 100m to enclose the maximum area.

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Answer:

The point after the reflection: \((-4,-8)\)

Step-by-step explanation:

-Statement: If you reflect the point \((x,y)\) across x-axis or the y-axis, then the \(x\) and the \(y\) of the point can change either positive, negative or the same, depending on where the point is located on a graph.

-So, if you reflect the point \((-4,8)\) across x-axis, then the point after the reflection, would be \((-4, -8)\) :

The following point: \((-4, 8)\)

The point after the reflection: \((-4,-8)\)

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

Answer:

2340002

Step-by-step explanation:

glwhbEqFVGRBAhfrwlghaebg

Answer:

20234.0

Step-by-step explanation:

20000+234.0000=20234

i hope this helps you

have a nice day!!

The determinant of an elementary matrix of this form is always equal to 1. Therefore, the determinant of this matrix is 1.

A single elementary row operation on the identity matrix yields a square matrix known as an elementary matrix. Simple row operations include adding a multiple of one row to another row and multiplying a row by a non-zero scalar. The resulting matrix is still invertible, and the opposite elementary row operation can be used to create the inverse of the identity matrix. In linear algebra, elementary matrices are used to describe and work with systems of linear equations. They also offer a practical method for computing determinants and resolving matrix equations. Additionally, they are used in encryption and computer graphics.

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The constant of proportionality in table four is -1/3

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

In each of the table, we can check if proportionality exists.

In the first table, there's no proportionality.

In the second table, there's no proportionality

In the third table, there's no proportionality

In the fourth table, proportionality exist here which we can find the constant of proportionality.

When x = 6, y = -2

y = ax

a = constant of proportionality

-2 = a(6)

a = -1/3

The constant of proportionality is -1/3

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Answer:transversive property

Step-by-step explanation:

Answer:

-15i + 4

Step-by-step explanation:

1. Break apart the parenthesis (note: that negative sign is an invisible -1(2+7i)

6 - 8i - 2 - 7i

2. Simplify: Combine like terms

4 - 15i

Answer: Sue is 20 and Jennifer is 26

Step-by-step explanation:

Let's say that J=Jennifer's age now and S=Sue's age now.

We know that:

J=S+6

Because Jennifer is 6 years older than Sue.

We also know that when Jennifer is 4 years older (J+4), she will be twice as old as Sue was 5 years from now (S-5).

So we get the following equation from that information:

J+4=2(S-5)

So we have the two equations:

J+4=2(S-5)

J=S+6

Let's substitute J=S+6 into the first equation (note that RHS means Right Hand Sie and LHS means Left Hand Side):

(S+6)+4=2(S-5)

S+10=2S-10 [Add 6+4 on the RHS, and distribute on the LHS]

S=2S-20 [Subtract 10 from both sides]

-S=-20 [Subtract 2S from both sides]

S=20 [Divide both sides by -1]

So we know S, which is Sue's age, is 20. So Sue is no 20 years old.

Finding Jennifer's age now is simple. We know Jennifer is 6 years older than Sue, and Sue is 20, so Jennifer is 26 years old.

The number of bacteria after 5 hours is approximately 45,517.

To find the number of bacteria after 5 hours, we need to use the formula for exponential growth, which is:

N(t) = N0 * e(kt)

Where:
N(t) = the number of bacteria at time t
N0 = the initial number of bacteria
e = the mathematical constant (approximately equal to 2.718)
k = the growth rate constant

We are given that the bacteria culture starts with 500 bacteria, so N0 = 500. We are also told that after 3 hours there are 9,000 bacteria, so we can use this information to find k:

9,000 = 500 * e^(3k)
e(3k) = 18
3k = ln(18)
k = ln(18) / 3
k ≈ 0.779

Now we can use this value of k to find the number of bacteria after 5 hours:

N(5) = 500 * e(0.779*5)
N(5) ≈ 45,517

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She can choose three books in 54 ways

What is permutation?

Permutation is a technique involving in which a set or number of things can be ordered or arranged. We use permutation to solve and compute answers

We are given that, Josephine has three chemistry books, three history books, and nine statistics books

She has to choose one from each subject

Firstly She has 3 chemistry books

This can be selected in 3 ways

Then She has 3 history books

This can be selected in 3 ways

Ans finally she has 9 statistics books

This can be selected in 9 ways

Hence total ways in which she can select 3 books is 3*3*9= 54 ways

Hence in 54 ways she can choose three books

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The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

2p + 4= -50

=> 2p = -50-4

=> 2p = -54

=> p = -54/2

=> p = -27

Answer:

5 Quarts

Step-by-step explanation:

Since each input is mapped to only one output, the best description of the ordered pairs is given by:

A. both a relation and a function.

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x,y), we have that:

For this problem, the points are given as follows:

(-3, 2), (3, -10), (5, -14), (10, -24)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

A. both a relation and a function.

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Answer:

BC=[6,-16,6]

[15,0,5 ]

Step-by-step explanation:

The ones below is the second column

hope this helps

Answer:

72 sq. cm.

Step-by-step explanation:

V = b * h

4 * 6 = 24 which is the base of this object

24 * 3 = 72 which is the volume of this object

−32x + 20 = −32x − 26

Cancel first the equal terms

\( \large \sf = 20 = - 26\)

The statement is false because the sides are not equal

\( \huge \orange{ \underline{ \boxed{ \sf{x \in \varnothing}}}}\)

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Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

Answer:

16

Step-by-step explanation:

2x² - 5x - 17

Put x as -3 and solve.

2(-3)² - 5(-3) - 17

2(9) - (-15) - 17

18 + 15 - 17

= 16

Answer:

A y = 40x + 75

B 1 hour = 115

2 hour = 155

3 hour = 195

4 hour = 235

5 hour = 275

6 hour = 315

C, D, E look at pic below

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