Find the final value if £3500 is invested for 6 years at 6.9% p.a.

Final value = £

Answer:

Option C, 30 40 50

Step-by-step explanation:

In order for 3 sides to form a right triangle, there are two options:

           1.) Both sides are equal, and the hypotenuse is sqrt(2) * the length of the sides.

           2.)  One side is (sqrt(3)) / 2 * h and the other side is 1/2 * h and the hypotenuse is just h.

Step 1:  Determine if A is correct

No, Option 1 is automatically thrown away because no sides are equal.

No, Option 2 isn't possible because if you put the sides in any arrangement it won't work.

Step 2:  Determine if B is correct

No, Option 1 is once again thrown away because no sides are equal.

No, Option 2 is not possible once again because in whatever arrangement you put the sides in, it won't work.

Step 2:  Determine if C is correct

No, Option 1 is once again thrown out because no sides are in equal length.

No, Option 2 is neither possible since you can't organize it in a way to fit the pattern.

However, there is an exception called the 3-4-5 triangle which forms a right triangle.  In this example, we have a 30-40-50 triangle that forms into a right triangle.

Answer:  Option C, 30 40 50

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The formula for circumference is used to determine the diameter of the circle that the teeter totter creates as it spins, which is 232.12 inches.

The circumference of the circle that the teeter totter makes as it spins is given by the formula:

Circumference = 2 * pi * radius

where "pi" is the mathematical constant approximately equal to 3.14, and "radius" is the distance from the center of the circle to its outside edge.

In this problem, we are given that the distance from the center to the outside edge of the teeter totter is 37 inches, which means that the radius of the circle is also 37 inches. Therefore, we can use the formula for circumference to calculate the distance around the circle that the teeter totter makes as it spins.

In this case, the radius is 37 inches, so we can plug in these values to get:

Circumference = 2 * 3.14 * 37

Simplifying this expression gives:

Circumference = 232.12

Therefore, the circumference of the circle that the teeter totter makes as it spins is approximately 232.12 inches, rounded to the nearest hundredth of an inch.

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Answer:

34.5

Step-by-step explanation:

Answer:

The inductive reasoning is based on A: a limited number of observations

Step-by-step explanation:

Let's say you lived until 90 years old, and took a observation on July 4th each year. Even if you lived until 90 years old, you would only have 90 observations. And inductive reasoning allows for statements to be false, so any of the 90 observations that you took can be proven false. So really, you would have only 90 observations, with any of them that could be false. A limited number of observations would be the only thing that you could base this reasoning off of.

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

We have two points C(0, 0) and D (0, 12).

P is on the line segment and 3/4 of the distance from C to D.

Answer:

Less than 3,

9/4

Step-by-step explanation:

Answer:

3.14 ×78cm which 3.14 is pie so the area will be the answer

Answer:

200.5cm

Step-by-step explanation:

The solution is in the image

==============================================================

Explanation:

Let's say the mother will temporarily take the place of all the sisters. Wherever the mother sits will represent the block of girls.

Taking out the 6 sisters and replacing them with the mother leads to 7+1 = 8 people in a line.

There are 8! = 8*7*6*5*4*3*2*1 = 40,320 different ways to arrange 8 people.

----------

Again, the mother's position is where the sisters block will go. So let's say the mother was in seat #2. This would mean one brother would take seat #1, and all of the sisters would take the next six seats, until we reach seat #7 is when another brother would take the next seat.

Within any given permutation (the 40320 mentioned), there are 6! = 6*5*4*3*2*1 = 720 different ways to arrange just the girls in that girls block/group.

All together, there are 40320*720 = 29,030,400 different ways to arrange the 13 siblings where all the girls are seated together.

Answer:

17x20=340

Step-by-step explanation:

multiply 17x2 and you get 34 right? So then (just like multiplying by 10) just add a zero to the end.

Answer:

OK midpoint is actually really easy I got u

Step-by-step explanation:

X2+X1 divided by 2

Y2+Y1 divided by 2

7+-1/2 is 6.5

-1+3/2 is 0.5

(6.5,0.5)

Answer:

120°

Step-by-step explanation:

Angles in a quadrilateral add to 360°, so

90+90+x+2x=360

180+3x=360

3x=180

x=60

So, angle R measures 120°.

Answer:

Step-by-step explanation:

The formula for Sn of a geometric series with first term a and common ratio r is:

Sn = a((1-r^n)/(1-r))

In this case, the first term a is $1,000, the common ratio r is 1.02 (since she's depositing 2% more each year), and n is 30 (since we're looking for the amount deposited after 30 years).

Plugging in these values, we get:

Sn = 1000((1-1.02^30)/(1-1.02))

Sn ≈ $87,453

Therefore, the answer is D. $87,453.

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Company A:

Total product = 70

Software product = 40

Hardware product = 30

Company B:

Total product = 50

Software product = y

Hardware product = x

The probability that the selected product is a hardware product given that is from company B.

= x/50 ____(1)

The probability that the selected product is a hardware product given that is from company A.

= 30/70

= 3/7 _____(2)

From (1 ) and (2) we get,

x/50 > 3/7

x > 3/7 x 50

x > 21

Thus,

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

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The value g(7) of the function g(x) = 7  / 8 x  - 1 / 2 is 45 / 8.

A function relates each element of a set with exactly one element of another set (possibly the same set).

In a simpler term, a function relates an input to an output.

Therefore, let's find the value of g(7) for the function below:

g(x) = 7  / 8 x  - 1 / 2

Hence,

g(7) = 7 / 8 (7)  - 1 / 2

g(7) = 49 / 8  - 1 / 2

g(7) =  49 - 4 / 8

Therefore,

g(7) = 45 / 8

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Answer:

the answer is C -1-2 to the equation

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

smallest: 40 kg, medium: 60 kg, largest quantity: 80 kg

Step-by-step explanation:

divide into 2 : 3 : 4

find the total quantities: 2 + 3 + 4 = 9 quantities.

9 quantities → 180 kg

1 quantities → \(\frac{180}{9}\) kg

1 quantities → 20 kg

Finding what the question asked for:

2 quantities → 20*2 → 40 kg

3 quantities → 20*3 → 60 kg

4 quantities → 20*4 → 80 kg

Answer:

Smallest quantity is 40 kg

Largest quantity is 80 kg

(in case you need it the middle quantity is 60 kg)

Step-by-step explanation:

In the ratio there are 9 total parts (2+3+4). If you divide the 180 kg by 9 you will get 20kg. You can now multiply the 20kg by each ratio (20×2, 20×3, and 20×4) to divide the sugar into the ratio.

20×2= 40 kg

20×3= 60 kg

20×4= 80 kg

Answer:

|4| = 4

|-4| = 4

Step-by-step explanation:

Answer:

its 4

Step-by-step explanation:

absolute value of 4 is 4 you get rid of any signs co efficients etc.

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Answer:

{x,y} = {2,7}

Step-by-step explanation:

sorry if i got it wrong

84 i think?

im not sure if i did my math properly

Answer:

80

Step-by-step explanation:

40 ÷ 6 = 6.66666667 x 12 = 80

Answer:

Step-by-step explanation:

You need to concern yourself with the +3. That will determine what the equal roots are.

(2x + √3)^2

Now expand this to see what p is. (Kind of a nasty question if you ask me).

4x^2 + 2x*√3 + (√3)^2

4x^2 + 2√3 x + 3                 also possible is

4x^2 - 2√3 x + 3

So the answer is p = 2√3

The answer could also be p = -2√3

Answer:

  p = ±4√3

Step-by-step explanation:

The discriminant of quadratic equation ax²+bx+c = 0 is ...

  d = b² -4ac

In your quadratic, its value is ...

  d = p² -4(4)(3) = p² -48

The discriminant will be zero when the quadratic has equal roots. In that case, the values of p are found by ...

  d = 0

  p² -48 = 0

  p² = 48 . . . . . add 48

  p = ±√48 . . . . take the square root

  p = ±4√3 . . . . simplify

__

Another way to get there is by looking at the factoring of a quadratic with equal roots:

  (ax +b)² = 0 = a²x² +2ab +b²

Comparing to the given quadratic, we find ...

  a² = 4   ⇒   a = ±2 . . . . . . coefficient of x²

  b² = 3   ⇒   b = ±√3 . . . . constant

  p = 2ab = 2(±2)(±√3) . . . . coefficient of x

  p = ±4√3

_____

The attachment shows the two different values of p give equations with one solution (each).

Answer:

4.4 ounces/ 4 ounce (if rounded)

Step-by-step explanation:

There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.

Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces

Hope this helps!

Continental glacier ice flows from the region where it is thickest toward the edges where it is thinner. In the central thickest parts, the ice flows almost vertically down toward the base, while at the edges of the glacier, it flows horizontally out toward the margins.

Glaciers generally advanced from the direction where the contour lines on the landforms are closest together (steep slope) toward the direction where the contour lines on the landforms are farther apart (gentle slope).

A continental glacier originating in far Northern Canada began to move South towards the Northeastern United States. The ice sheet crept slowly forward, scraping off the loose rock materials and gouging the bedrock beneath the ice as it advanced.

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