£11,000 was deposited in a savings account that pays simple interest. After 16 years, the account contains £17,160. Work out the annual interest rate of the account. Give your answer as a percentage (%) to 1 d.p.​

According to the diagram, angle JKL is

Adjacent angles are angles that share a common vertex and a common side, but do not overlap. In a trapezoid, adjacent angles can be any pair of angles that share a common vertex and a common side.

angle JKL and angle MKL are adjacent angels having same vertex at k

angle JKM = angle JKL  angle MKL

94 = angle JKL + 47

angle JKL = 94 - 47

angle JKL = 47

Learn more angle at:

https://brainly.com/question/25770607

#SPJ1

There is 1 way to obtain at least two tails when you toss 9 fair coins.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

If you toss 9 fair coins, there are 2⁹ = 512 possible outcomes.

The number of ways to obtain zero or one tail is equal to the number of ways to obtain all heads or one head and the rest of tails, which is 2⁹ - 1 = 511.

Therefore, the number of ways to obtain at least two tails is the complement of the number of ways to obtain zero or one tail, which is 512 - 511 = 1.

Therefore, there is 1 way to obtain at least two tails when you toss 9 fair coins.

To learn more about the probability visit,

https://brainly.com/question/24756209

#SPJ1

The substraction of 50 3/5 ft and 48 1/3 can be expressed as34/15.

The concept that will be used here is substraction. One of the four operations used in mathematics, along with addition, multiplication, and division, is substraction. Removal of items from a collection is represented by the operation of subtraction. For instance, the adjacent image shows 5 2 peaches, which are 5 peaches with 2 peaches subtracted, for a total of 3 peaches.

50 3/5 ft - 48 1/3 =

this mixed numbers can be converted to fractions as

253/5 - 145/3

= 34/15

Learn more about sbstraction at:

https://brainly.com/question/25421984

#SPJ1

Answer:

c = 8

Step-by-step explanation:

4x³ + cx² + x + 2 ÷ x + 2 = ...

first we divide

4x³ + cx² by x + 2

and that is by doing 4x³/x = 4x².

4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...

now we need to find the remainder, as with regular number divisions :

4x² × (x + 2) = 4x³ + 8x²

which we need to subtract from the left side

4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...

- 4x³ + 8x²

----------------

0 cx² - 8x²

now we pull down the next position (x) and divide that by x + 2

4x³ + cx² + x + 2 ÷ x + 2 = 4x² + 1

- 4x³ + 8x²

----------------

0 cx² - 8x² + x

and the same again, to find the remainder, we have to subtract 1×(x + 2) = x + 2 from the left side

4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...

- 4x³ + 8x²

----------------

0 cx² - 8x² + x

- x + 2

-----------------------------

cx² - 8x² 0 0

the polynomial is divisible by x + 2, if the remainder is 0.

so,

cx² - 8x² = 0

cx² = 8x²

c = 8

Answer:

The equation of the line that is perpendicular to y= 3/2x - 4 and goes through the point (2,-2) is y = -2/3x + 4.

Step-by-step explanation:

Desert 2 will be 4,000,000 square miles and Desert 1 will be 12,000,000 square miles.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

Desert 1 = 3x

Desert 2 = x.

Total area = 16,000,000

x + 3x = 16000000

4x = 16,000,000

Divide

x = 16000000 / 4

x = 40000000

Desert 2 = 4,000,000 square miles

Desert 1 = 12,000,000 square miles.

Learn more about area on

brainly.com/question/25292087

#SPJ1

The volume of the irregular figure is solved to be

The volume of the irregular figure is solved by the formula

= area of the figure * thickness

The area of the figure is solved by dividing the firue into regular shapes and this will result to two rectangles

Area of the first rectangle

= length x width

= 4 * (12 - 5)

= 4 * 7

= 28 square centimeters

Area of the second rectangle

= 10 * 5

= 50 square centimeters

Total area = 50 + 28 = 78

volume = 78 * 1 = 78 cubic centimeters

Learn more about volume of irregular figures at:

https://brainly.com/question/23481617

#SPJ1

The area of rhombus ABCD is 98.28 cm². Therefore, option C is the correct answer.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, in rhombus ABCD, AD=10 cm and OC=7.8 cm.

Here, BC²=OC²+OB²

10²=7.8²+OB²

OB²=100-60.84

OB²=39.16

OB=√39.16

OB=6.3 cm

AC=2×7.8

AC=15.6 cm

BD=2×6.3 =12.6 cm

We know that, area of rhombus is 1/2 ×(Product of diagonals)

Now, area= 1/2 ×15.6×12.6

= 98.28 cm²

Therefore, option C is the correct answer.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ9

Two other points on this line are (1, 1.5) and (2, 3)

From the question, we have the following parameters that can be used in our computation:

This means that the slope (m) of the line is

m = 6/4

Evaluate

m = 1.5

For the other points, we have

f(2) = 2 * 1.5 = 3

f(1) = 1 * 1.5 = 1.5

So, we have (1, 1.5) and (2, 3)

Hence, the points are (1, 1.5) and (2, 3)

Read more about linear equations at

https://brainly.com/question/2030026

#SPJ1

Answer:

The width of the living room is 10 feet.

Step-by-step explanation:

Let the width of the living room is w.

And the length of the room is 2w - 8 ft.

Given,

The area of the room is 192  feet^2, by using the formula of area of a rectangle we get,

A = l × w

192 = (2w - 8) × w

Now,

192 = 2w^2 - 8w                              ( By expanding)

200 = 2w^2                                     (By adding 8w to both sides)

100 = w^2                                        (Dividing both sides by 2)      

If we take square root on both sides,

w = 10

So,

The width of the living room is 10 feet.

The value of the segment in the geometry of the triangle is 17.5.

A triangle is a sort of polygon with three sides, as was said in the introduction. The vertex of a triangle is where two of its sides meet at an angle. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

If a line is parallel to one side of the triangle and intersects the other two sides, then it divides the side into segments of proportional length.

Thus,

12 / (12 + 14) = 15 / (15 + x)

12(15 + x) = 15(26)

180 + 12x = 390

12x = 210

x = 17.5

Hence, the value of the segment in the geometry of the triangle is 17.5.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

The formula for compound interest is:

A = P(1 + r/n)^nt

where:

A is the total amount of money after t years,

P is the initial principal or deposit amount (in this case $1000),

r is the annual interest rate as a decimal (in this case 1.3% or 0.013),

n is the number of times interest is compounded per year (in this case, let's assume it's compounded annually), and

t is the number of years.

So, the function modeling the total amount of money Brigitte has over time, t, would be:

A = $1000(1 + 0.013)^t

This function shows how the amount of money in the savings account will increase as time goes on due to compound interest.

The area of the shaded region is 20 square units for the given rectangle frame.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Dimensions of the inside rectangle, are as follows:

Length L₁ = 5 units

Width W₁ = 3 units

Since the frame is 2 units wide,

So, the dimensions of the outside rectangle, are as follows:

Length L₂ = 5 + 2 = 7 units

Width W₂ = 3 + 2 = 5 units

The area of the shaded region = area of the outside rectangle - area of the inside rectangle

The area of the shaded region = L₂ x W₂ - L₁ x W₁

The area of the shaded region = 7 x 5 -  5 x 3

The area of the shaded region = 35 - 15

The area of the shaded region = 20 square units

Thus, the area of the shaded region is 20 square units.

Learn more about the Area of the rectangle here:

https://brainly.com/question/26889212

#SPJ9

The question seems incomplete, the missing figure is attached below.

Answer:

350

Step-by-step explanation:

∑ (xy) means the sum of the products of x and y , that is

∑ (xy)

= (7 × 2) + (2 × 5) + (5 × 7) + (9 × 4) + (6 × 2) + (10 × 9) + (9 × 9) + (8 × 4) + (4 × 10)

= 14 + 10 + 35 + 36 + 12 + 90 + 81 + 32 + 40

= 350

The Total Surface Area for given prism will be 166 [tex]cm^2[/tex].

The entire surface area of a rectangular prism may be computed by adding the areas of its six sides. A rectangular prism's surface area may be determined using the following formula:

[tex]Surface Area = 2(l*w) + 2(l*h) + 2(w*h)[/tex]

where:

l = length of the rectangular prism

w = width of the rectangular prism

h = height of the rectangular prism

Using this formula for given problem,

Given,

l=5cm

w=4cm

h=7cm

[tex]\text{Total Surface area}=2.(5.7)+2.(4.5)+2.(4.7)\\\\=70+40+56\\\\=166\;cm^2[/tex]

Learn more about surface area here:

https://brainly.com/question/29298005

#SPJ1

Answer:

This is a Right Triangle because the last angle is 90 degrees.

On solving the provided question, we can say that  the linear equation are 3y - 2x = -9 and y = -2x +5 => 3(-2x +5) - 2x = -9 => x = 3

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

the linear equation are

3y - 2x = -9 and y = -2x +5

3(-2x +5) - 2x = -9

-6x + 15 -2x = -9

-8x = -24

x = 3

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Answer:

N-27 = 9n + 5

Step-by-step explanation:

write equation to the word sentence 9.5 less than a number n equals 27 the answer n-27 = 9n + 5 that is posted to this question on your website is wrong according to my homework check.

The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5

Given that,

A statement,

"9.5 less than a number n equals 27"

To solve for the value of "n",

we can start by subtracting 9.5 from both sides of the equation,

9.5 less than a number n = 27

So, it can be written as,

n - 9.5 = 27

n = 36.5

Therefore, 9.5 less than a number n equals 27 the answer n-27 = 9n + 5

The answer to the question on the value of x in a triangle is x = 60 degrees.

The fact that all the angles are labeled as x means that this is an equilateral triangle which is a triangle where all the angles are equal.

Should this be the case, the value of x would be:

= Sum of interior angles of triangles / Number of sides in triangle

Sum of interior angles of triangles = 180 degrees

Number of sides = 3 sides

The value of x is:

= 180 / 3

= 60 degrees

Find out more on triangles at https://brainly.com/question/29714909

#SPJ1

Answer:

6.89 billion for year 2010

7.15 billion for year 2023

Step-by-step explanation:

f(x) = [tex]a(1 + r) ^{x}[/tex]

f(x) = [tex]6.08(1+ .0126)^{10}[/tex]

f(x) = 6.89 Rounded to 2 places

f(x) = [tex]6.08(1+ .0126)^{13}[/tex]

f(x) = 7.15 Rounded to 2 places

The function of the number of hours of operation of the assembly line will be 2772 + 110[17t - 1/2t²].

The cost of the first 2 hours of operation will be $6292

From the information, A(t) = 17t - 1/2t² power lawn mowers, 10 and we suppose that the factory's cost of manufacturing units is C(x) after hours of operation, an assembly line has assembled C(x) = 2772 + 110x.

Therefore, the (composite) function of the number of hours of operation of the assembly line will be:

= 2772 + 110[17t - 1/2t²]

The cost of the first 2 hours of operation will be:

2772 + 110[17t - 1/2t²]

= 2772 + 110[17 × 2 - 1/2 × 2²

= 2772 + 110(34 - 2)

= $6292

Learn more about functions on:

brainly.com/question/10439235

#SPJ1

After solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.

What is meant by the system of equations?

A set of equations with a finite number of solutions is referred to as a system of equations. A system of equations in algebra consists of two or more equations and looks for common answers to the equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.

Given,

  Cost of material for small chair = $10

Cost of material for large chair = $15

The selling price for a small chair = $22

The selling price for a large chair = $51

The total money spent on materials = $305

Designer makes 8 more small chairs than large chairs.

If the number of large chairs = t  and the number of small chairs =  s

Using the given equations, we can write the following system of equations.

10s + 15t = 305

s - t = 8

Now we make the coefficient of s in both equations the same.

Multiply 10 in the second equation.

10s + 15t = 305

10s - 10t = 80

Subtracting,

5t = 225

t = 45

s = 8 + t = 45 + 8 = 53

Therefore after solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.

To learn more about system of equations, follow the link.

https://brainly.com/question/13729904

#SPJ1

Answer: x=0.545455

Step-by-step explanation:

add 216 to both sides

divided both sides by 1331

take cube root

Answer:

Step-by-step explanation:

To calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method, we need to first find the straight-line rate, and then find the diminishing-balance rate by doubling the straight-line rate.

Step 1: Calculate the straight-line rate

The straight-line rate can be calculated as follows:

SLR = (Cost - Residual Value) / Useful Life

SLR = (32900 - 4700) / 4

SLR = $27,600 / 4

SLR = $6,900 per year

Step 2: Calculate the diminishing-balance rate

The diminishing-balance rate can be calculated as follows:

DBR = 2 * SLR

DBR = 2 * $6,900

DBR = $13,800

Step 3: Calculate the depreciation expense for each year

The depreciation expense for each year can be calculated as follows:

Year 1: Depreciation Expense = Cost * (DBR / 2)

Year 1: Depreciation Expense = $32,900 * ($13,800 / 2)

Year 1: Depreciation Expense = $32,900 * $6,900

Year 1: Depreciation Expense = $227,621

Year 2: Depreciation Expense = (Cost - Year 1 Depreciation) * (DBR / 2)

Year 2: Depreciation Expense = ($32,900 - $22,761) * ($13,800 / 2)

Year 2: Depreciation Expense = $10,139 * $6,900

Year 2: Depreciation Expense = $70,223

Year 3: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation) * (DBR / 2)

Year 3: Depreciation Expense = ($32,900 - $22,761 - $70,223) * ($13,800 / 2)

Year 3: Depreciation Expense = $10,016 * $6,900

Year 3: Depreciation Expense = $68,609

Year 4: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation - Year 3 Depreciation) * (DBR / 2)

Year 4: Depreciation Expense = ($32,900 - $22,761 - $70,223 - $68,609) * ($13,800 / 2)

Year 4: Depreciation Expense = $21,307 * $6,900

Year 4: Depreciation Expense = $146,763

So, the depreciation expenses for each year of the equipment's life are:

Year 1: $22,761

Year 2: $70,223

Year 3: $68,609

Year 4: $146,763

This is how you can calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method.

Tony can afford the car insurance, and he has enough money( $426.33 ) left over each month to cover other expenses.

We need to calculate the cost of the insurance and compare it to his monthly pay.

According to the information given,

Tony's yearly pay is $8,320

and his monthly pay is $693.

If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.

Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.

Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.

To learn more on Business math see, :https://brainly.com/question/29256905

#SPJ1

14. The mean of  the Zoo-venir Stand sales is of 23.9, representing the quotient between the sum of all the amounts and the number of observations.

15. The range of the Zoo-venir Stand sales is of 30, representing the difference between the highest number and the lowest number.

Considering the key format of the stem-and-leaf plot, the observations are given as follows:

12, 13, 13, 13, 14, 15, 15, 16, 17, 20, 21, 21, 22, 22, 23, 24, 25, 25, 25, 26, 27, 27, 28, 29, 29, 32, 34, 34, 37, 41, 42.

The mean is given by the sum of all observations divided by the number of observations, hence it's value is of: 23.9.

The range is the difference between the highest observation and the lowest observation, hence it is of:

42 - 12 = 30.

More can be learned about mean and range of data-sets at https://brainly.com/question/14532771

#SPJ1

Answer: $31.20

Step-by-step explanation:

0.6% = 0.006

.: fee = 0.006 x 5200 = $31.20

Answer:

C, I did the math

hope this helps

Answer:

approximately 0.567088608.

Step-by-step explanation:

The division of 1.28 by 2.26 can be done as follows: