4x-6+x+6. But if the x was 8 what would it add up to

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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A - not linear

B- linear

C- linear

D- linear

E- not linear

F- not linear

A linear transformation (or a linear map) is a function \(T:R ^{n} - > R^{m}\) that satisfies the following properties:

1- T(x+y)=T(x)+T(y)

2-T(ax)=aT(x)

for any vectors x,y∈\(R^{n}\) and any scalar a∈R.

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number time one of the components of x, then f is a linear transformation.

A useful feature of a linear transformation is that there is a one-to-one correspondence between matrices and linear transformations, based on matrix-vector multiplication. So, we can talk without ambiguity about the matrix associated with a linear transformation T(x).

Refer to the image for the missing question.

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Answer:

660 ft³

Step-by-step explanation:

The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.

First, the triangle:

area = base * width / 2 = 12 * 10 / 2 = 60 ft²

volume = the triangle for the length

the length is 11 feet,

so we extrude that triangle for 11 feet to get

60 ft² * 11 ft = 660 ft³

we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.

another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.

this might be confusing so let me know if you have any questions!

The maximum area is 900 square meters

Given that

Perimeter, P = 120

So, we have

P = 2(l + w) = 120

This gives

l + w = 60

Make l the subject

l = 60 - w

The area is

A = lw

So, we have

A =w(60 - w)

Expand

A = 60w - w^2

Differentiate and set to 0

60 - 2w = 0

So, we have

w = 30

Recall that

A =w(60 - w)

So, we have

A = 30(60 - 30)

Evaluate

A = 900

See attachment

This is represented as follows

Length (l) | Width (w) | Area (A)

30 | 30 | 900

35 | 25 | 875

40 | 20 | 800

45 | 15 | 675

50 | 10 | 500

55 | 5 | 275

See attachment

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Answer:

900 m²

Step-by-step explanation:

The maximum possible area of a rectangle is when the width and length are equal, i.e. it is a square.

To find the side length of a square, divide its perimeter by 4. Therefore, the width and length of a rectangle with perimeter 120 m is:

\(\implies \sf \dfrac{120}{4}=30\;m\)

The area of a square is the square of its side length, so the maximum area for a rectangle with perimeter of 120 m is:

\(\implies \sf Area=30^2=900\;m^2\)

The formula for the perimeter of a rectangle is:

\(\boxed{\sf Perimeter=2(width+length)}\)

Therefore, if the perimeter is 120 m:

\(\implies \sf 120=2(width+length)\)

\(\implies \sf width+length=60\)

So the width and length must sum to 60 m.

Sketch various rectangles where the sum of their width and length is 60 m.  For example:

The formula for the area of a rectangle is:

\(\boxed{\sf Area=width \times length}\)

A table with the width, length and areas (in increments of 5 m for the lengths) is as follows:

\(\begin{array}{c|c|c}\vphantom{\dfrac12} \sf width\;(m)&\sf length\;(m)& \sf area\;(m$^2$)\\\cline{1-3}\vphantom{\dfrac12}5&55&275\\\vphantom{\dfrac12}10&50&500\\\vphantom{\dfrac12}15&45&675\\\vphantom{\dfrac12}20&40&800\\\vphantom{\dfrac12}25&35&875\\\vphantom{\dfrac12}30&30&900\\\vphantom{\dfrac12}35&25&875\\\vphantom{\dfrac12}40&20&800\\\vphantom{\dfrac12}45&15&675\\\vphantom{\dfrac12}50&10&500\\\vphantom{\dfrac12}55&5&275\end{array}\)

Let x be the length of the rectangle (in meters).

Let y be the area of the rectangle (in meters squared).

From inspection of the values of area from the table from part (b), the function is quadratic, since the second differences between the y-values is constant.  The maximum point (vertex) is (30, 900).  Therefore, the graph is a parabola that opens downwards.

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

As the vertex is (30, 900) and the parabola opens downwards (so the value of "a" is negative):

\(\implies y=-a(x-30)^2+900\)

To find the value of a, substitute one of the other points into the equation:

\(\implies -a(10-30)^2+900=500\)

\(\implies -a(-20)^2=-400\)

\(\implies -400a=-400\)

\(\implies a=1\)

Therefore, the equation of the parabola is:

\(y=-(x-30)^2+900\qquad \{x|\;0 < x < 60\}\)

Note: If the measure of one side of the rectangle is 60 m, then the measure of the adjacent side will be 0 cm, which is impossible. Therefore, the domain of the function must be set to (0, 60).

From inspection of the table, the maximum area of a rectangle that has a perimeter of 120 m is when its width and length are both 30 m.

From the graph of the relationship between length and area of a rectangle with a perimeter of 120 m, the maximum area is when the length is 30 m ⇒ max area = 900 m².

Therefore, the maximum area of the rectangle is 900 m².

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Add 9 to both sides

80x = 16

Step 2: Divide both sides by 80

x = 16/80

Step 3: Simplify by dividing top and bottom by 16

x = 1/5

And we have our final answer!

Answer:

x = 1/5

Step-by-step explanation:

80x - 9 = 7​

Add 9 into both sides.

80x = 7 + 9

80x = 16

Divide 80 into both sides.

x = 16/80

Simplify.

x = 1/5

Answer:

25.12 m (or 25.13 m)

Step-by-step explanation:

Recall the formula for the circumference of a circle:

\(2\pi r\)

where r is the radius.

We are given that the radius is 4 m, so let's plug that into our formula:

\(2\pi r=\\2\pi *4=\\8\pi\)

\(\pi\) is approximately 3.14, so let's multiply 8 m by 3.14. We get:

25.12

So, the circumference is about 25.12 m.

(if you multiply by pi itself using a calculator, the answer is about 25.13 m)

The video had played 104 frames when the time was equal to -3 2/5 seconds.

We can start by finding how many frames were played during the time that the timer did not start counting. Since the video plays 25 frames per second, the number of frames played during this time is 25 frames/second × several seconds = 190 frames.

Next, we need to convert the time of -3 2/5 seconds to frames. We can do this by multiplying the time by the frame rate of 25 frames/second:

-3 2/5 seconds × 25 frames/second = -86 frames

Note that the negative sign indicates that the timer is behind the actual playback time.

Finally, we add the number of frames played before the timer started counting to the number of frames that had played by the time the timer was at -3 2/5 seconds:

190 frames + (-86 frames) = 104 frames

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Answer:

the interior angles is (n - 2) * 180.

Step-by-step explanation:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

I Hope This Helps!!!!

Answer:

180

Step-by-step explanation:

Answer:

anws: 2×a+b= 3.13

Step-by-step explanation:

that's was the factors

The rate of change of the function given by the table is 1.

The rate of change represents the ratio of one quantity compared to another.

The rate of change is also known as the slope (the Rise/the Run), the gradient, unit rate, or constant rate of proportionality.

The rate of change is computed as the quotient between the Change in the Rise and the Change in the Run.

x     y   Rate of Change

5    3  

6    4  1 (1/1)

7    5  1 (1/1)

8    6 1 (1/1)

Thus, for the function represented by the table, the rate of change or unit rate is 1.

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Answer:

We need to find how much more or less the ratio becomes

1.61 / 23 = 0.07

we multiply 0.07 with 1 to make the ratio even and get your answer

1 x 0.07 = 0.07 on the map

Hope this helps

Step-by-step explanation:

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

4.5

Step-by-step explanation:

Let's set up an equation:

1.1n=4.95

n is the number

We can use a calculator to figure this out:

n=4.5

Answer:

0.99

Step-by-step explanation:

The computation of the probability for employee goes for shareholder meeting or HR benefits meeting is

= Probability of HR benefits meeting + Probability of shareholder meeting

= 0.33 + 0.66

= 0.99

We simply added the both meeting probability i.e HR benefits and shareholder meeting so that the given probability could come

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

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Answer:

Step-by-step explanation:

Using the remainder theorem we get:

\(f(-2)=-5\),  \(f(1)=4\), and \(f(-1)=0\)

So we get

\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)

                 \(-8p+8+4p-2q+r=-5\)

                              \(-4p-2q+r=-13\)  \((a)\)

\(f(1)=(p-1)+p+q+r=4\)

                       \(2p+q+r=5\)               \((b)\)

\(f(-1)=-(p-1)+p-q+r=0\)

                                 \(-q+r=-1\)    \((c)\)

We need to solve (a), (b) and (c) simultaneously to find p,q, and r.

from \((c)\)  \(r=q-1\). Sub this into (a) and (b):

\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\)    \((d)\)

      \(2p+q+(q-1)=5 \rightarrow q=3-p\)              \((e)\)

Sub (e) into (d) we get

\(-4p-(3-p)=-12 \rightarrow p=3\)

Sub \(p=3\) into \((e) \rightarrow q=0\)

Sub  \(p=3,q=0\) into \((c) \rightarrow r=-1\)

SOLUTION: \(p=3,q=0,r=-1\)    

So \(f(x)=2x^3+3x^2-1\)

by dividing (x+1) into f(x) we get  (I am not showing working for this division)

\(f(x)=(x+1)(2x^2+x-1)\)

\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)

Answer:

$1,024.56

Step-by-step explanation:

Simple math, So what you would do to find this answer would be taking the amount of money hes earning an hour and times that by how many hours he worked that week. so $28.46 x 36 = $1,024.56

Answer:

1024.56

Step-by-step explanation:

     28.46

x          36

___________

      17076

+     85380

____________

    1024.56

Answer:

It costs 50

Step-by-step explanation:

I think this is right

Answer:

y = 3x - 6

Step-by-step explanation:

Slope-interecept form is a "fill-in-the-blank" formula for writing the equation of a line. It is in the form:

y = mx + b

You fill in the slope for m and fill in the y-intercept for b.

You could totally graph these points and see the slope and y-intercept. But here's how to find them on the table.

When x is 0, y is -6. The y-intercept is where x is 0. So here, the y-intercept is -6. That is b. Fill in -6 in place of b.

y = mx + -6

Next pick any two points. I'm using the last two (3,3) and (4,6). Subtract the y's. 6-3 is 3, put that on top of a fraction. Subtract the x's, 4-3 is 1. Put that on the bottom of a fraction. That is the slope, 3/1. That is the m. Fill it in.

y = 3/1 x + -6

Clean it up (simplify)

y = 3x - 6

Answer: Yes, it is a function

Step-by-step explanation:

Answer:

27.75 mls

Step-by-step explanation:

30mls - 2.25mls is equal to 27.75mls

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40