1. £500 is deposited in a bank paying 2% simple interest per annum. How much interest will have been paid after 2 years?
2. £500 is deposited in a bank paying 1% simple interest per annum. How much interest will have been paid after 5 years?
3. £1500 is deposited in a bank paying 6.25% simple interest per annum. How much interest will have been paid after 3 years?
4.£3600 is deposited in a bank paying 4% simple interest per annum. How much interest will have been paid after 4 years?
5.£4300 is deposited in a bank paying 5.75% simple interest per annum. How much interest will have been paid after 6 years?
6.£4000 is deposited in a bank paying 9.5% simple interest per annum. How much interest will have been paid after 8 years?
7.£3600 is deposited in a bank paying 14.75% simple interest per annum. How much interest will have been paid after 14 years?

Answer:

8x - 11

Step-by-step explanation:

?

just do the multiplications and add things up.

1 + 4(2x - 3) = 1 + 8x -12 = 8x - 11

Answer:

$1.56 per pound

Step-by-step explanation:

18.72/12 = 1.56

Answer: 65.97

Step-by-step explanation:

Answer:

282 feet below sea level.

Step-by-step explanation:

He has 3. 74 liters of liquid A and 3. 65 of liquid B:  7.39 liters of liquid is in the container.

= 7.39 liters

I would round 3.74 down to 4.00,

and round 3.65 down to again 4.00

4.00 + 4.00 = 8.00

since 7.39 is close to 8.00, thus the answer is reasonable

Estimation implies approximating an amount to the exactness required. This is finished by adjusting the numbers in question and finding a fast and harsh solution. Adjusting a number to the nearest tenth.

Rounding to the nearest tenth means changing the given number to a rough worth without changing the entire piece of the number. For rounding numbers to the nearest tenth, we want to notice the spot values after the decimal point. For instance, to adjust 3.864 to the nearest tenth, we get 3.9

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Distance between the two cities is 26 meters.

12 centimeters on the map is equivalent to 120 meters on the ground.

First thing to do is to find out the distance on the ground that 1 cm on the map represents:

= 120 / 12

= 10 meter

1cm on the map is 10 meters on the ground.

If the distance on the map is 2.6 cm, on ground it will be:

= distance on map x conversion factor

= 2.6 x 10

= 26 meters

Distance between the two cities is 26 meters.

Note: check to see if the question said kilometers or miles instead of meters.

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Answer:an artist used interlocking building blocks to build a scale of the Kennedy space center in model 1inch equals 1.67 feet of an actual space shuttle the model is 110.3 inches tall how tall is the actual space shuttle

Step-by-step explanation:

Answer: d

Step-by-step explanation:

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer: -3

Step-by-step explanation: When you graph this that’s what you get

Answer:

-3

Step-by-step explanation:

the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:

y = -0.5x0 -3

Now you can ignore that first part of the equation because it equates to 0, and so you get:

y= 0 - 3

which equals:

y=-3

Answer:

6a + 6b

Step-by-step explanation:

Answer:

nooooooooooooooooooooo i think

Answer:

Since a parallelogram has two pairs of parallel sides then it has at least one pair of parallel sides. Therefore, all parallelograms are also classified as trapezoids.

Step-by-step explanation: Hope this helps and have a great day! :)

Answer:  The cost of the 7.5 lbs of walnuts be $2.16 . It costs $3.45 to buy lb of chopped walnuts.

Answer:

$34.50

Step-by-step explanation:

First, find how much 1 lb costs.

To do this divide 3.45 by 3 to get 1/4 lb and then multiply by 4 to get the cost of 1 lb.

3.45/3 = 1.15      1.15 x 4 = 4.60

So 1 lb is $4.60

Multiply the cost of 1 lb by 7.5 to find the cost for 7.5 lbs

$4.60 x 7.5 = $34.50

Hope this helps!

The second container can hold approximately 1715 m³ of liquid.

Two containers have exactly the same shape, we can use their height ratio to determine the liquid capacity ratio.

Let's denote the height of the first container as H1 = 20 m and its liquid capacity as C1 = 320 m³.

We want to find the liquid capacity of the second container, C2, given its height H2 = 35 m.

The ratio of the heights is H2 / H1 = 35 m / 20 m = 7/4.

The ratio of the liquid capacities is equal to the ratio of the volumes, since the containers have the same shape. Therefore, we have:

C2 / C1 = (H2 / H1)³

Substituting the given values:

C2 / 320 m³ = (7/4)³

Simplifying the exponent:

C2 / 320 m³ = 343 / 64

To find C2, we can cross-multiply:

C2 = (343 / 64) × 320 m³

Calculating the result:

C2 ≈ 1715 m³

Therefore, the second container can hold approximately 1715 m³ of liquid.

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The question is incomplete the complete question is :

two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 m, and it can hold 320 m³ of liquid. if the second container has a height of 35 m, how much liquid can it hold?

Answer:

-6<x<9

Step-by-step explanation:

La suma de las cifras del precio del rollo de alambre es aproximadamente 27.

Para resolver este problema, vamos a llamar "x" al precio del rollo de alambre en soles (S/).

Según la información proporcionada, podemos establecer la siguiente ecuación:

\((\frac{x}{2} )+(\frac{2x}{3} )+(\frac{5x}{8} )= 3870\)

Para simplificar la ecuación, vamos a deshacernos de los denominadores multiplicando toda la ecuación por el mínimo común múltiplo (MCM) de 2, 3 y 8, que es 24.

La ecuación simplificada será:

\(12x + 16x + 15x = 24 \times 3870\)

\(43x = 92880\)

\(x = \frac{92880}{43}\)

\(x \approx 2158.605\)

El precio del rollo de alambre es aproximadamente S/2158.605.

Para obtener la suma de las cifras, redondearemos el precio a dos decimales y luego sumaremos cada dígito:

Suma de las cifras \(= 2 + 1 + 5 + 8 + 6 + 0 + 5 \approx 27\)

La suma de las cifras del precio del rollo de alambre es aproximadamente 27.

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Answer:

Mia can rent the game set for 7 minutes

Step-by-step explanation:

(50)+(15×7)

Answer:

B) x <= -3

Step-by-step explanation:

B is the only answer that shows x being less than -3.

all of the other answers show x being greater than -3.

In 24-hour clock time the clock shows a. 10:32

We need the basics of converting am/pm system to a 24-hour time. In the 24-hour system, the clock doesn't use am/pm symbol and when the clock shows pm we need to add 12 hours before, for example:

am

01:00 am = 01:00

we don't need to add 12 hours before and erase the am symbol.

pm

01:00 pm = 13:00

we need to add 12 hours before (01 + 12 = 13)

Hence, when the clock shows 10:32 am, we don't need to add 12 hours before and just erase the am symbol. The 24-hour time will be at 10:32.

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answers

y=2×2+3×-1 and x+ y= -1

Step-by-step explanation:

y =2×2+3x-1and x + y =1y= -2×2+3x-7 and x+y=-2x3x-1and x+y =-1

Answer:

x = 9

Step-by-step explanation:

2x + 8 = 4x - 10 Given

2x + 8 - 2x = 4x - 10 - 2x Subtraction property of equality

8 = 2x - 10

8 + 10 = 2x - 10 + 10 Addition property of equality

18 = 2x

18 ÷ 2 = 2x ÷ 2 Division property of equality

9 = x Answer

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Solution  of the given equation 2x+8=4x-10 is x=9.

Solution of an equation are the values to the unknown variables that makes the equality in the equation true

Given equation is :

2x+8=4x-10,   consider it as equation (1)

To solve this equation firstly, we isolate the terms which contain x in the LHS and the constant terms in RHS.

Then, the equation will become:

2x-4x = -10-8

Solving the LHS and RHS:

-2x = -18

Divide both the sides by -2, we get:

x = -18/(-2)

x = 9

That means x=9 satisfies the given equation.

Hence, x=9 is the solution of the given equation.

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Answer:

382.19cm²

Step-by-step explanation:

a / sin(A) = b / sin(B)

a / sin(68) = 53 / sin(95)

a = (53 x sin(68)) / sin(95)

a = 49.33

area = ½absin(C)

C = 180 - (95 + 68)

C = 180 - 163

C = 17°

area = ½(53)(49.33)sin(17)

area = 382.19cm²

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

The total number of seats in the theatre are 1287.

Given that:-

Number of rows in the theatre = 22

Seats in 1st row = 27

Seats in 2nd row = 30

Seats in 3rd row = 33

and so on.

This is a question of Arithmetic Progression (AP).

Here,

First element = 27

Common difference = 3

Number of terms = 22

First we will find the number of seats in 22nd row.

Number of seats in 22nd row = 27 + (22-1)*3 = 27 + 21*3 = 27 + 63 = 90.

Now, we have to find,

27 + 30 + 33 + 36 + .... + 90

Hence, sum of the number of seats in all the rows = (22/2)(2*27 + (22-1)*3) = 11(54 + 21*3) = 11(54+63) = 11(117) = 1287.

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Answer: 4,879,682

Step-by-step explanation:

Answer:

4,879,682

Step-by-step explanation:

We need to add 25 red balls to the box so that the probability of drawing a red ball becomes 2/3.

To determine how many red balls must be added to the box so that the probability of drawing a red ball is 2/3, we need to consider the current composition of the box and the desired probability.

Currently, the box contains 5 white balls, 8 black balls, and 1 red ball. The total number of balls in the box is 5 + 8 + 1 = 14.

Let's assume we add 'x' red balls to the box. After adding these red balls, the total number of red balls in the box would be 1 + x. The total number of balls in the box would be 14 + x.

The probability of drawing a red ball can be calculated by dividing the number of favorable outcomes (red balls) by the total number of possible outcomes (total balls).

According to the problem, we want the probability of drawing a red ball to be 2/3. Therefore, we have the equation:

(1 + x) / (14 + x) = 2/3

To solve this equation, we can cross-multiply:

3(1 + x) = 2(14 + x)

Simplifying further:

3 + 3x = 28 + 2x

Subtracting 2x from both sides:

x = 28 - 3

x = 25

Therefore, we need to add 25 red balls to the box so that the probability of drawing a red ball becomes 2/3.

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Answer:

∠ C = 133°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180° ( substitute A + B = 47° )

47° + ∠ C = 180° ( subtract 47° from both sides )

∠ C = 133°

Answer:

Go right 4 blocks. Then go down 3 blocks.

Step-by-step explanation:

From Brianna's house at (1,6), move 4 blocks to the right and you will be at (5,6). Next, move 3 blocks down and you will be at Jordan's house at (5,3).

9514 1404 393

Answer:

  28 hours

Step-by-step explanation:

Let x represent Jack's time. Then Jill's is x-7. Together their rate of carrying water in hills per hour is ...

  1/x + 1/(x -7) = 1/12

Multiplying by 12x(x -7) gives ...

  12(x -7) +12x = x(x -7)

  x^2 -31x +84 = 0 . . . . . subtract the left side and simplify

  (x -3)(x -28) = 0 . . . . . . . . . . factor

  x = 3  or  x = 28 . . . . . . . . . . x-values that make the factors zero

We know the times must be longer than 12 hours, so the value x=3 is extraneous for this problem.

It takes Jack 28 hours to carry the cooler of water up the hill working alone.