£11000 is invested in an account paying 2.25% per annum. How much will interest will be in the account at the end of 4 years?​

Answer:

Step-by-step explanation:

The given is the number of years she drives for and how much she drives in a year.

We can use this to figure out how many miles she drives in 3, 4, and 6 years.

To do that, just multiply the number of years by the number of miles she drives in a year

[tex]\frac{9000}{1} =\frac{miles}{x years}[/tex]

[tex]9000 * x years = 1 * miles[/tex]

[tex]3 * 9000 = 27,000\\4 * 9000 = 36,000\\6 * 9000 = 54,000[/tex]

Put points at (3,27000) , (4,36000) , (6,54000)

Draw a straight line through them (not like mine)

Answer: Foot

Step-by-step explanation:

The point of intersection is called the foot of the perpendicular. I remember learning this in my Math class!

Answer:

see explanation

Step-by-step explanation:

if (x - h) is a factor of f(x) then f(h) = 0

(a)

if (x - 2) is a factor of f(x) then f(2) = 0

f(2) = 2³ - 7(2) + 6

     = 8 - 14 + 6

     =  - 6 + 6

    = 0

since f(2) = 0 then (x - 2) is a factor of f(x)

(b)

using synthetic division to factor f(x)

insert a zero in the x² position on the table

 2 | 1   0   - 7   6

      ↓  2     4   - 6

     -----------------------

       1  2    - 3    0

quotient is

x² + 2x - 3 = (x + 3)(x - 1)

Then

f(x) = (x - 2)(x + 3)(x - 1)

Answer:

ez 2/1

Step-by-step explanation:

A right circular cylinder with the largest volume that can fit within a sphere with a 10 cm radius will have a maximum radius of 8.165 cm and a maximum height of 11.55 cm. Additionally, the largest volume is 2417.82 cm³.

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

Here,

radius=10 cm

r²+h²/4=10²

r²=10²-h²/4

volume=πr²h

=π(10²-h²/4).h

V=π(10²h-h³/4)

dV/dh=π(10²-3h²/4)

dV/dh=0

10²=3h²/4

10²*2²/3=h²

20/√3=h

h=11.55 cm

r²=10²-h²/4

=10²-(10²*2²/3)/4

r²=(100-400/12)

r²=100-33.33

r²=66.67

r=√66.67

r=8.165 cm

volume=πr²h

=3.14*8.165*8.165*11.55

volume=2417.82 cm³

The dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm will be 8.165 cm radius and 11.55 cm height. Also the maximum volume is 2417.82 cm³.

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Total amount he will pay is equal to 62.880 after giving discount of 35% and adding the sales tax of 7.5%.

Discount is the total price which is deducted from the original terms so as we have to pay less.

Discount is always given on the marked price of the article.

Marked price is the cost at which article is marked.

Chandler buy shoes of $89.99.

Total discount on shoes = 35%

Price after getting Discount = 58.4935

Sales Tax = 7.5 %

Price after sales tax = 58.4935 + 7.5% of 58.4935

= 62.880

So total amount he will pay is equal to 62.880.

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The required linear equation that defines the dependent variable, p, in terms of the independent variable, t is p = 3t + 4.

A linear equation is a mathematical condition of the structure y=mx+b. including just a steady and a first-request (straight) term, where m is the slant and b is the y-catch. Sometimes, the above is known as a "straight condition of two factors," where y and x are the factors.

Let linear equation be p = at + b

Where a and b are constant.

On putting the values from the table,

4 = 0×a + b

b = 4

and,

7 = 1×a + b ⇒ a + b = 7

a + 4 = 7

a = 3

Then,

p = 3t + 4

Thus, required equation is  p = 3t + 4.

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Answer:2.

2/5 times 5 is 10/5 or 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expected mean square can be generated in minitab as shown below :

What is expected mean square ?

Expected mean squares in statistics are the predicted values of certain statistics emerging in sums of squares partitions in the analysis of variance. They can be used to determine which statistic belongs in the denominator of an F-test that is being used to test the null hypothesis that a given effect is not there.

Not often, although in some circumstances, perhaps. The average squared departure of observed data values from the sample or population mean is known as variation. The average squared difference between actual and anticipated values is known as MSE (mean squared error).

Te expected mean squares for a balanced three-stage nested design assuming that A is fixed and that B and C are random.

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Answer:

the volume of the cone is approximately 28.26 cubic inches.

Step-by-step explanation:

To find the volume of a cone, you can use the formula:

V = (1/3) * π * r^2 * h

where V is the volume of the cone, r is the radius of the base of the cone, and h is the height of the cone.

Using the dimensions provided in the diagram, the radius of the base of the cone is 3 inches and the height of the cone is 8 inches. Plugging these values into the formula, we get:

V = (1/3) * π * 3^2 * 8

= (1/3) * 3.14 * 9 * 8

= 28.26 cubic inches

So, the volume of the cone is approximately 28.26 cubic inches.

In this case, the terminal point of theta/2 can be determined using the following steps:

Since cos(theta/2) < 0 and the cosine function has a range of [-1, 1], it follows that theta/2 must be in the second or third quadrant (90 degrees to 180 degrees or 180 degrees to 270 degrees).

To find the terminal point of theta/2, we can use the formula for converting from polar to Cartesian coordinates: x = rcos(theta) and y = rsin(theta), where (x,y) is the Cartesian coordinates of the terminal point, r is the radius, and theta is the angle in radians.

In this case, the radius is 1 (since the terminal point is on the unit circle) and the angle is theta/2. Substituting these values into the formulas above, we get:

x = 1 * cos(theta/2)

y = 1 * sin(theta/2)

To find the values of cos(theta/2) and sin(theta/2), we can use the identity cos(theta/2) = sqrt((1 + cos(theta))/2) and sin(theta/2) = sqrt((1 - cos(theta))/2).

Substituting the given value of cos(theta) (-1/9) and the identities above into the formulas for x and y, we get:

x = sqrt((1 + (-1/9))/2) = -sqrt(2)/3

y = sqrt((1 - (-1/9))/2) = sqrt(8)/3

Thus, the coordinates of the terminal point of theta/2 are (-sqrt(2)/3, sqrt(8)/3).

The terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).

To find the terminal point (a₁, a₂) of theta/2, use the half-angle identity for cosine:

cos(theta/2) = ± √((1 + cos(theta)) / 2)

Given that cos(theta) = -1/9 and cos(theta/2) < 0, the negative sign should be used in the half-angle identity.

Calculate cos(theta/2):

cos(theta/2) = - √((1 + cos(theta)) / 2)

cos(theta/2) = - √((1 - 1/9) / 2)

cos(theta/2) = - √((8/9) / 2)

cos(theta/2) = - √(8/18)

cos(theta/2) = - √(4/9)

cos(theta/2) = - 2/3

Cos(theta/2) = -2/3. To find the terminal point (a₁, a₂), determine the values of a₁ and a₂.

Since cos(theta/2) is negative, a₁ is negative. To find the value of a₂, use the Pythagorean identity:

cos²(theta/2) + sin²(theta/2) = 1

Since cos(theta/2) = -2/3, calculate sin(theta/2):

sin²(theta/2) = 1 - cos²(theta/2)

sin²(theta/2) = 1 - (-2/3)²

sin²(theta/2) = 1 - 4/9

sin²(theta/2) = 5/9

sin(theta/2) = ± √(5/9)

sin(theta/2) = ± √(5) / 3

Since theta is in the second quadrant (cos(theta) = -1/9), sin(theta) is positive in the second quadrant. Therefore, sin(theta/2) = √(5) / 3.

Now, sin(theta/2) = √(5) / 3.

So, the terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).

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The graph of the given function, g(x) = -5^x + 5, is shown below

From the question, we are to graph the given function.

From the given information,

The given function is

g(x) = -5^x + 5

To graph the function, we will determine some of the points on the line

When x = -2

g(2) = -5^(-2) + 5

g(2) = -1/25 + 5

g(2) = 4 24/25 = 4.96

When x = -1

g(1) = -5^(-1) + 5

g(1) = -1/5 + 5

g(1) = 4 4/5 = 4.8

When x = 0

g(0) = -5^(0) + 5

g(0) = -1 + 5

g(0) = 4

When x = 1

g(1) = -5^(1) + 5

g(1) = -5 + 5

g(1) = 0

When x = 2

g(2) = -5^(2) + 5

g(2) = -25 + 5

g(2) = -20

Using the above points, the graph of the function is shown below.

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No, the sample size is not practical.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We need to find grade-point averages.

The sample mean is within 0.009 of the population mean.

98% confidence level is desired

The formula for sample size is n = (z alpha/2× S/E)²

where n = sample size

z alpha/2 = critical value for 98% confidence = 2.58

S = 1.25 and

E = 0.009

n = (2.58 × 1.25 / 0.009)² = 128401.5 ~ 128402

Sample size does not seem practical.

Hence,  the sample size is not practical.

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{-8}{2 +4} \implies \cfrac{ -8 }{ 6 } \implies - \cfrac{ 4 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- \cfrac{ 4 }{ 3 }}(x-\stackrel{x_1}{(-4)}) \implies y -5 = - \cfrac{ 4 }{ 3 } ( x +4) \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-5)=3\left( - \cfrac{ 4 }{ 3 } ( x +4) \right)}\implies 3y-15=-4(x+4) \\\\\\ 3y-15=-4x-16\implies 3y=-4x-1\implies {\Large \begin{array}{llll} 4x+3y=-1 \end{array}}[/tex]

The parallelogram's area is 130 yards square.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

base*height

base=13

height=10

13*10

= 130 yds

Hence, The parallelogram's area is 130 yards square.

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23 pounds of type A coffee were used and 92 pounds of type B coffee were used, using the concept of formula equation we get -

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Let assume that, x represent the number of pounds of type A coffee that were used in the blend.

and y represent the number of pounds of type B coffee that were used in the blend.

Type A coffee costs Lena $4.10 per pound, and type B coffee costs $5.35 per pound.

The total cost of the mixture is $586.50.

Now,

4.10x + 5.35y = 586.50 ............ (i)

This month's blend used four times as many pounds of type B coffee as type A.

so, y = 4x

Substituting y = 4x into equation (i), we get -

4.10x + 5.35 × 4x = 586.50

or, 4.10x + 21.4x = 586.50

or, 25.5x = 586.50

or, x =  586.50/25.5

or, x = 23

Next, y = 4x = 4 × 23

y = 92

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Answer:

C

Step-by-step explanation:

its 19735 hope it helps

Answer:

-3 and 3

Step-by-step explanation:

Absolute value makes a negative number positive and allows a positive number to stay the same. |-3| becomes 3, and |3| stays as 3, so the correct answers are -3 and 3.

Answer: EASY

Step-by-step explanation:

The gross profit of the Blog Inc would be $22,370.

Gross profit is the profit of a company or an entity after subtracting all the costs that are related to manufacturing and selling its products or services. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that  Sales: $50,000

Returns: $4,680

Cost of goods sold: $22,950

Therefore,

Net Sales: 50,000 - 4,680

= 45,320

We can calculate the Gross Profit;

Gross Profit = (Net Sales – Cost of Goods Sold)

                      = ($45,320- $22,950)

                       = $22,370

Hence, the gross profit would be $22,370.

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Answer:[tex]5^{18}[/tex]

Step-by-step explanation:

5^18

Answer:

Below

Step-by-step explanation:

y+3=5(x+4)      Expand R side, then subtract 3 from both sides of equation

y = 5x+ 17     Done .

Answer:

y = 5x+17

Step-by-step explanation:

To get this equation to slope intercept form, get the y variable by itself on one side of the equal sign.

y+3=5(x+4)

[Distribute the 5 to x and 4]

y+3 = 5x+20

[Subtract 3 from both sides]

y = 5x+17

[Done!]

y>-2x+4 is the inequality of the given graph.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given line passes through (2,0) and (0,4)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=4/-2=-2

4=-2(0)+b

b=4

Hence equation of line y=-2x+4

The shaded region is the above the line and line is dotted. so we have to use greater than symbol.

Hence, y>-2x+4 is the inequality of the given graph.

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Answer:

x = 11

Step-by-step explanation:

8(x-3) - 4x = 20

8x - 24 - 4x = 20

4x = 44

x = 11

Answer:

x=11

Step-by-step explanation:

8(x-3)-4x=20

8(x)+8(-3)-4x=20

8x-24-4x=20

4x-24=20

   +24. +24

4x=44

/x.  /x

x=11

Hopes this helps

segment EH and segment E'H' both pass through the center of dilation.

A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.

The center, which may be found within, outside, or on a figure, is the only invariant (not changing) point under a dilation (k 1).

In the figure attached, triangle EFG is shown.

H is located at (0, 1)

The center of dilation is located at (0, 2)

Then, H' is located at (0, 0), so that the distance between the center of dilation and H' is twice the distance between the center of dilation and H.

E is located at (0, 5)

Then, E' is located at (0, 8), so that the distance between the center of dilation and E' is twice the distance between the center of dilation and E.

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The equation g(x) = |-x-3| + 2 would reflect the function over the y-axis.

The required value of f(3) is 10.

Reflection across the y-axis is defined as reflecting a point across they = x,  the x-coordinate, and y-coordinate places, the line y = -x is the coordinates (-x, y).

So reflected across the y-axis: f(x) → f(-x),

⇒ (x,y) → (-x , y)

As per the given question,

f(x) = |x-3| + 2

f(-x) = |-x-3| + 2 = g(x)

Thus, the equation g(x) = |-x-3| + 2 would reflect the function over the y-axis.

The function f(x) is given in the question,

f(x) = 4x - 2,

To determine the value of f(3)

Substitute the value of x = 3 in the given function,

f(3) = 4(3) - 2

f(3) = 12 - 2

f(3) = 10

Thus, the required value of f(3) is 10.

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Answer: 1.00585 or 1.585. Both are correct

Step-by-step explanation:

Answer:

what's 2+2?

a. fish

b.3

c.4

d.6,472

Im just giving away points to anyone who needs some.

c.4

Answer: 4

Step-by-step explanation:

2+2=4

Answer:five thousand six hundred eight