144 coins are divided equally among some
children. If there were 3 fewer children,
each child would have 16 coins. How many
children are there?​

Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.

A rate is a measure of how one quantity changes in relation to another quantity. It is usually expressed as a ratio of two different units, such as miles per hour or dollars per pound. Rates can be used to compare different values and to make predictions about future outcomes. Common examples of rates include interest rates, exchange rates, and tax rates.

To calculate Megan's tax bill, we need to find the tax on each part of her earnings that falls within the different tax brackets, and then add them up.

For the first £11,000 of Megan's earnings, there is no tax.

For the next £32,000 of Megan's earnings (from £11,001 to £43,000), the tax rate is 20%, so the tax on this portion of her earnings is:

0.2 x 32,000 = £6,400

For the next £107,000 of Megan's earnings (from £43,001 to £150,000), the tax rate is 40%, so the tax on this portion of her earnings is:

0.4 x 107,000 = £42,800

For the portion of Megan's earnings over £150,000, the tax rate is 45%, so the tax on this portion of her earnings is:

0.45 x 8,900 = £4,005

Therefore, Megan's total tax bill is:

£6,400 + £42,800 + £4,005 = £53,205

So, Megan paid £53,205 in total tax for the last year.

Therefore, Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.

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Answer: 128

Step-by-step explanation:

Answer:

60 years old

Step-by-step explanation:

A=Ashu's age. M=Ashu's Mother's Age

M=A*3

M/3 = (A*3)/3  ==> divide 3 on each side to solve for A

A = M/3

A+5 = M/3 + 5  ==> A+5=25 since that'll be Ashu's age 5 years from now

25 = M/3 + 5  => plug in 25 for A+5

25-5 = M/3 + 5 - 5 ==> solve for M

20 = M/3

M = 20 * 3

M = 60 years old

Answer:

43.96 mm.

Step-by-step explanation:

Hey!

For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)

This way, it will be able to graph and get the answers quicker!

The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).

The required value of y for the given segment AB is given as y = 16, -8.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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The required domain and the range of the given function are (-2, 3) and (2, -3) respectively.

Given that,
To determine the domain and the range of the function given in the graph.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
From the graph, the domain of the function is defined for x = -2 to x = 3,
While the range of the graph for a given function is defined for y = 2 to y = -3 corresponding to the domain.

Thus, the required domain and the range of the given function are (-2, 3) and (2, -3) respectively.

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C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

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Answer:

Amount of cd after 3 years=2240

Step-by-step explanation:

principal==$2000

simple interest=4%

interest /year =80

for 3 years =80 x 3 = 240

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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Answer:

2sqr3, the first option

Step-by-step explanation:

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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According to the given information, the letter that comes next in the given alphanumeric series is "N".

What is alphanumeric series?

An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.

The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.

Therefore, the letter that comes next in the given alphanumeric series is "N".

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The expression of 602.16 dam in decimeters can be written as 60216 decimeter.

The concept that will be used in the calculation is conversion. to perform this conversion, it is important to note that 1 Decimeter (dm) is equal to 0.01 dekameter (dam).

Then, if 1dm = 0.01 dam

               Xdm     = 602.16 dam

Where x is the value in decimeter.

Then we can cross multiply as :

X= (602.16 dam * 1dm)/ 0.01 dam

= 60216 decimeter.

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Answer:

b. 4.9 × 1011

Step-by-step explanation:

Using scientific notation is similar to expressing in standard form. Given that (7 × 105)2

We open the parenthesis. This may first be expressed as

7² × 10⁽⁵⁾²

Then expand,

= 49 × 10¹⁰

To put in scientific notation, 49 = 4.9 × 10

Hence the expression becomes

= 4.9 × 10 × 10¹⁰

Using the laws of indices

= 4.9 ×  10¹¹ in scientific notation

Answer:

4.9 × 1011

Step-by-step explanation:

I did it in grandpoint

Answer: 1,55

Step-by-step explanation:

3/4 - (- 4/5) = 3/4 + 4/5 =  (3x5)/20  + (4x4)/20 = 15/20  +  16/20 =  31/20 = 1,55

3/4 - (- 4/5)  = 3/4  +  4/5 = 0,75 + 0.8 = 1,55  

Answer:

Not sure but I think it's 3.75

Answer:

x=6

Step-by-step explanation:

10-5x=3(x-4)-2(x+7)

Distribute

10-5x=3x-12-2x14

Combine like terms

10-5x = x-26

add 5x to each side

10-5x+5x = x+5x-26

10 = 6x-26

Add 26 to each side

10+26 = 6x-26+26

36 = 6x

Divide by 6

36/6 = 6x/6

6 =x

Answer:

\(10-5x=3\left(x-4\right)-2\left(x+7\right)\)

\(3\left(x-4\right)-2\left(x+7\right)\)

combine like terms:-

\(=3x-12-2x-14\)

\(3x-2x=x\)

\(=x-12-14\)

Subtract -12 -14

\(=x-26\)

\(10-5x=x-26\)

Subtract 10 from both sides:-

\(-5x=x-36\)

Now, subtract x from both sides:-

\(-5x-x=x-36-x\)

\(-6x=-36\)

Divide both sides by -6:-

\(\frac{-6x}{-6}=\frac{-36}{-6}\)

\(x=6\)

OAmalOHopeO

Answer:

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

We are given a radius of 12

SA = 4 pi ( 12) ^2

SA = 4 pi * 144

SA = 576 pi

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

The expected value is X/1000.

To find the expected value for this game, we need to calculate the average value of the winnings over the long run. In this case, the player has a 1 in 1000 chance of winning $X and a 999 in 1000 chance of winning $0. Let's assume that X is the amount won when the selected number is chosen.

The expected value (EV) can be calculated using the following formula:

EV = (Probability of winning $X) * (Amount won) + (Probability of winning $0) * (Amount won)

In this game, the probability of winning $X is 1/1000, and the probability of winning $0 is 999/1000. The amount won is $X when the selected number is chosen. Therefore, the expected value can be calculated as follows:

EV = (1/1000) * X + (999/1000) * 0

= X/1000 + 0

= X/1000

The expected value is X/1000. This means that on average, for every game played, the player can expect to win X/1000 dollars. It represents the long-term average winnings per game.

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Let A be a diagonalizable matrix. If c₁ and c₂ are solution to system

x⃗' (t) = A x⃗ ( t )

the possible values of c₁ is 1 and c₂ is 2 .

So, the correct option is option(a) and (e).

We have given that A is 2 × 2 diagonalizable matrix and x⃗ (t) = ( 3eᵗ + eᶜ₁t , 3e²ᵗ + eᶜ₂ᵗ) is a solution of system, x⃗ '(t) = A x⃗(ᵗ) .

A Solution of system always satisfied the equation of system.

Now, Differenating x⃗ (t) wih respect to t we get, x⃗' (t)=( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ)

So, ( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ)= A ( 3eᵗ + eᶜ₁t , 3e²ᵗ + eᶜ₂ᵗ) where A is diagonalizable and A = [a 0 0 b].

Then, ( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ) = ( 3aeᵗ + aeᶜ₁t , 3be²ᵗ + b eᶜ₂ᵗ)

equating the coefficients on both sides we get, 3eᵗ + c₁ eᶜ₁t = 3aeᵗ + aeᶜ₁t 6e²ᵗ + c₂ eᶜ₂ᵗ = 3be²ᵗ + b eᶜ₂ᵗ

after equating the corresponding equations , 3 = 3a and c₁ = a and 6 = 3b and c₂ = b after solving all we get a = 1 and b = 2 which implies c₁ = 1 and c₂ = 2. Hence, the possible values are c₁ = 1 and c₂ = 2.

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Complete question:

Let A be a diagonalizable matrix. If c₁ and c₂ are solution to system x⃗ (t) = A x⃗

then check all the possible values of c₁ and c₂ and below.

(a) c₁ = 1

(b) c₁ = 3

(c) c₁ = 2

d) c₂ = 1

(e)c₂ =2

(f) c₂ = 3

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Answer:

Step-by-step explanation:

\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)

Answer:

X = 2 and X = -8

Step-by-step explanation:

X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10

X2 + 6X -16 =0

here we need to find if there are two numbers there sum is +6 and there product is -16.

here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8

-2+8= +6

-2*8= -16

( X - 2 ) * ( X + 8 ) =0

X - 2 = 0 ...... when -2 pass equality sign it will become+2

X = 2

X + 8 =0 ..... when +8 pass equality sign it will become -8

X = -8

Answer:

I did the math there is no answer