Brian opens a new savings account, with an interest rate of 3.5% compounded annually. If his
initial deposit is GBP 3000, how many years will it take for his money to grow to GBP 9000?

Answer:

What do you mean by choose inverse?

Step-by-step explanation:

Answer: 54%

15.25500 is 54% of 28.25

Step-by-step explanation: i might be wrong but let me know if i am right (:

Answer:

They are not equal.

Step-by-step explanation:

Because the equation is {3x-4}={3x-5} the equation is saying that the two equations are equal, but it is false. {3x-4} is less than {3x-5}, and {3x-5} is greater.

Answer:

This Equation has no soulution

Step-by-step explanation:

3x-4=3x-5

3x - 4 - 3x = 3x -5- 3x Simplify___-4 = -5

Answer:

30 the answer is 30 because 17 + 13 = 30

Answer: 13.10

Is power

Answer:

Step-by-step explanation:

its not to hard

  1  1

  2.35

+0.75

~~~~~~

   3.1 0  

+10

~~~~~~~  

 13.10

Answer:

See the factor tree in the attached image

Step-by-step explanation:

1575 ÷ 5 = 315
315 ÷  5 = 63

63  ÷ 7 = 9

Factors of 9 are 3 and 3

Answer:

Tabla de contenido

Cuando separamos el número 1668 en un coeficiente y una potencia de 10, se obtiene el número 1668 en forma exponencial, pero hay un número indefinido de posibilidades.

Como probablemente desees expresar el número 1668 en notación científica normalizada, el coeficiente o significando de 1668 debe estar en el intervalo de 1 a 10.

En otras palabras, el coeficiente debe ser mayor o igual a 1 y menor a 10, es decir, 1 ≤ |m| < 10.

En esta publicación nos referimos al número 1668 en la versión normalizada, a menos que se indique lo contrario.

No es una convención, pero esto refleja el uso del término en la vida diaria.

Por lo tanto: 1668 = 1.668 × 10^3.

También puedes encontrar el resultado de la conversión numérica en los campos de salida de nuestro convertidor en la parte superior del artículo.

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

first we want to figure out the square roots. the square root of 12 would be 3.5. while the square root of 3 is 1.7

after figuring out the square roots, our equation is -3.5 + 3(1.7)

first we want to multiply 3 by 1.7

this would give us 5.1

leaving our equation as -3.5 + 5.1

our final step is to add 5.1 to -3.5

although i find it easier to just subtract 3.5 from 5.1 since 3.5 is a negative.

this would give us 1.6

Answer:

Step-by-step explanation:

400 - 150 = 250 and 400 - 200 = 200, so it could be D or C. You can choose which one you want to use.

Answer:

the water goes up with you and then you fall faster leaving the water still in the air for a spilt second leaving gravity to bring it back down

The least possible number of columns is 7

2 blank tiles is will be used

Yes using multiplication facts the question can be solved.

Given data

Alphabet arrangement on tiles

The rules for arrangement of the alphabets

1. They must form a rectangle.

2. The rectangle must have 4 rows.

3. The rectangle must have the least possible number of columns.

number of alphabets = 26

let the row represent the width of the rectangle, so that the rectangle has 4 rows.

The length will be

length * width = 26

length = 26 / width

length = 26 / 4

length = 6.5 ≅ 7

Hence the least possible number of columns is 7

26 / 4 gives 6 remainder 2 hence it requires 2 more tiles to make it up a rectangle of 7 columns.

The remaining part is filled with blank tiles therefore 2 blank tiles is used

Using multiplication we solve the problem as thus:

let the number of column be x such that

4 * x = 26

x = 26 / 4

so we use blank tiles to make the equation divisible by 4 without remainder.  

using mental math: 28 / 4 = 7

therefore 2 blank tiles were added and the minimum number if rows is 7

Yes using multiplication facts the question can be solved.

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Answer:

15

Step-by-step explanation:

x + 0.60(15) = 0.80(x + 15)

x+9=0.8(x+15)

x+9=4(x+15/5)

x+9=4x+60/5

x+9-9=4x+60/5-9

x=15

Answer:

31.42m

Step-by-step explanation:

         [tex]C = (22/7) \times d\\C = 3.14 \times 10\\C = \mathrm{31.42m}[/tex]

(6x+7) and (8x-17)° are both vertical angles; so, the value of x is 12.

When two straight lines cross, the angles that are opposite one another are called vertical angles. (These two lines should technically be on the same plane.)

Angles vertically are congruent.

According to the given value;

Let the angles be A and B; such that:

A = 6x+7

B=8x-17

By theorem of vertical angles

A = B

So, we have:

6x+7=8x-17

Collect like terms

8x-6x=7+17

2x=24

x=12

Hence the value of x is 12.

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The given expression (2x − 1)(4x + 3) − (9x + 1)(2x − 1) is equivalent to -10x^2 + 9x - 2, that is, option b.

If terms of the form (a + b) and (a + c) are to be multiplied, then each number or variable in the 1st term is multiplied by every variable in the 2nd term. Thus, (a + b)(a + c) = a^2 + ac + ab + bc.

Here, we are given an expression (2x − 1)(4x + 3) − (9x + 1)(2x − 1)

let us simplify the given expression-

[2x(4x) + 3(2x) -4x - 3] - [9x(2x) -9x + 2x -1)]

8x^2 + 6x - 4x - 3 - (18x^2 -9x + 2x -1)

8x^2 + 2x - 3 - 18x^2 +7x +1

8x^2 -18x^2  + 2x +7x -3 +1

-10x^2 + 9x - 2

Thus, option b is the correct answer.

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Your answer was incomplete. Check for the complete content below-

Which expression is equivalent to (2x − 1)(4x + 3) − (9x + 1)(2x − 1)?

a. 10x^2 + 9x - 2

b. -10x^2 + 9x - 2

c. 10x^2 - 9x + 2

d. -10x^2 + 9x - 8

Answer:

sample mean = 12

Step-by-step explanation:

To find the mean of a sample of items, we can use the following formula:

[tex]\boxed{\mathrm{mean = \frac{sum \ of \ items}{number \ of \ items}}}[/tex].

In this question, we are given the following items: 16, 17, 5, 6, and 16.

• sum of items = 16 + 17 + 5 + 6 + 16

                        = 60

• number of items = 5

∴ mean = [tex]\frac{60}{5}[/tex]

             = 12

Therefore, the sample mean is 12.

Answer:

x^2

Step-by-step explanation:

A number is automatically X. X is any number that is unknown, and the number is unknown in this problem

Answer:

x^2

Step-by-step explanation

x is the number, and since its raised to the second power its x^2

Answer:

If u actually read the sentence B makes more since

The value of integer a is (-a).

To solve this problem first of all we have to understand the concept of opposite integers.

The opposite integers are nothing but an integer with two different sign but has same numerical value.

Suppose there is an integer y then the opposite of integer is -y. And the opposite of an integer -h is +h.

Here it is asked to find the opposite integer of a.

The opposite of integer a is given to be b but the value of integer is -a.

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Answer: 3

Step-by-step explanation:

To find the slope you have to divide y over x: y/x or most commonly known as rise/run.

We start at the point where the line is touching a point, in this case it's -8 in the y axis.

Then we count up until we find another point that the blue line is touching. In this case at the coordinates (2, -2). So there's 6 values up from -8 and we have to move to the right 2 values to reach the point the blue line is touching.

So we use the formula rise/run or y/x:

6/2 = 3

This is very hard to explain in just text! I hope you understand

Answer: The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.

Step-by-step explanation:

By observing the nature of the question, we can decide that the amount of time spent working out dictates the number of calories we burn, making the workout (hours) the independent variable and the calories burned the dependent. This automatically cancels out the answers C and D.

We then just use our knowledge of the table. The hours were assigned 1, 2, and 3, and the calories were 240, 480, and 720. Just make sure the answer reflects that! That gives us answer choice B, The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.

The mortality rate will be 180 per 100000 people.

From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.

Therefore the mortality rate will be:

= 595700 / 321 million

= 0.0018

Therefore the mortality rate will be 180 per 100000 people.

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The total area of the new tile floor in the restaurant = 240 ft².

A geometric figure is any arrangement of points, lines, or other planes. Depending on the proportions of the figure, geometric figures are frequently categorized as space figures, plane figures, lines, line segments, rays, as well as points.

Geometric forms are any open or closed structures with specific shapes and attribute dreamed up of lines, curves, and points. Geometric shapes include square, rectangles, circles, cones, cylinders, sphere, and so on. All of these forms have characteristics that distinguish them from others.

Length of rectangle  = 15ft

width of rectangle = 12ft

hypotonus = 17ft

First finding the area of the rectangular part:

area = L x B

       = 15 x 12

       = 180 ft²

First finding the area of the triangular part:

Area = 1/2 *(B *h)

        = 1/2 * (8 * 15)

        = 1/2 * 120

        = 60 ft²

The total area of the new tile floor in the restaurant = 180 + 60

                                                                                     = 240 ft²

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Answer:

100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

A 3-by-3 magic square :

5 24 16

26 15 4

14 6 25

A square array of numbers, often positive integers, is referred to as a magic square in recreational mathematics if the sums of the numbers in each row, each column, and both main diagonals are the same.

The following values are listed in the question:

The numbers are 4​, 5​, 6​, 14​, 15​, 16​, 24​, 25​, and 26.

A 3-by-3 magic square is required.

Since the numbers are 4​, 5​, 6​, 14​, 15​, 16​, 24​, 25​, and 26.

Now the sum of all numbers is :

4​ + 5​ + 6​ + 14 + 15​ + 16​ + 24​ + 25​ + 26 = 135

There are now 3 rows and 3 columns, thus the total number is divided by 3.

5 24 16

26 15 4

14 6 25

5 + 24 + 16 = 45

5 + 26 + 14 = 45

26 + 15 + 4 = 45

24 + 15 + 16 = 45

14 + 6 + 25 = 45

5 + 15 + 25 = 45

So, the total of each row and each column is therefore 45.

Therefore, this is a​ 3-by-3 magic square that satisfies the conditions :

5 24 16

26 15 4

14 6 25

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The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).

According to the statement

We have to find that the coordinates of the points in the pre-image..

So, For this purpose, we know that the

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

From the given information:

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),and C(1, 7).

Then

We need to search out the coordinates of the pre-image A, B and C.

The rule for rotation of 90° about the origin is (x,y) ---> (-y,x).

But we want to seek out the coordinates of the vertices of the pre-image.

So, we'd like to use rule (-y,x) ---->(x,y).

Applying rule,

A'(6, 3) -----> A (3, -6)

B'(–2, 1) -----> B(1, 2)

C'(1,7) -----> C (7, -1).

Therefore, The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).

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The error occurred from line (2) to line (3) i.e., option(b) is correct.

Given that, Line (1): 8x-4 = 2(4x+1)-6, so we will procced to solve line (1) accordingly and then with the steps we will find where the error exactly occur. Let's proceed to solve this question.

8x-4 = 2(4x+1)-6

Now, open or simplify the bracket in RHS, we get

8x-4 = 8x+2-6

Now, simplify RHS accordingly, we get

8x-4 = 8x-4

Now add 4 both sides, we get

8x-4+4 = 8x-4+4

8x = 8x

Now, divide both sides by 8, we get

x = x

Now, subtract x from both sides, we get

0 = 0

Both sides are equal.

⇒ True for all x.

So, from the above calculation steps we can easily concluded that the error occurred from line (2) to line (3).

Hence, option(b) is correct.

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