Tegan is checking her tax bill for the last year
the tax rates were as follows:
•no tax on the first £11000 of earnings
•earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
•earnings in excess of £43000 and up to £150000 taxed at the rate of 40%
last year Tegan earned £48300 before tax
how much did she pay in total?

Answer: y  - 6x +46

Step-by-step explanation:

y + 4- 6(x +7)

y + 4 - 6x +42

y  - 6x +46

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given sequence is in Arithmetic progression, and we have to find its nth term ~

So, let's get it solved ~

First term of the sequence is :

Common difference is :

Now, if we have to write the 2nd Term with respect to first one, we can write :

similarly ~

Therefore, I similar pattern ~

[tex] \qquad \sf  \dashrightarrow \: nth \: term = a + (n - 1)d[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2 + (n - 1)2[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2(1 + (n - 1))[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2(1 + n - 1)[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2 n [/tex]

Feel free to ask your doubts, if you have any ~

Answer:

Step-by-step explanation:

from the number sequence above, each term except the first is generated by adding 2 to the term immediately preceding it.

the nth term of the sequence is usually designated Tn, and it's usually a function of n

from the number sequence

T1= 2

T2 = 2+2= 4

T3= 4+2= 6

T4= 6+2= 8

therefore, Tn= 2+2×(n-1)

= 2+2n-2

=2-2+2n= 2n

Answer:

Step-by-step explanation:

the total cost for this question is $12.10.

let me know if this helped.

Answer:

x^2 -6x + 9

Step-by-step explanation:

(x-3) (x-3) = x^2 - 6x + 9

Answer:

— Work in pizza slices, assuming a dozen per pizza. If I buy 36 slices, and eat 5 slices, and Joe eats 15 slices, there should be 36 - 5 - 15 = 16 slices left.

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Solution

The gradient of the line ment when two segment given (X1, Y1) and (X2, Y1) is points

m =

[tex] \frac{y2 - y1}{x2 - x1 } [/tex]

Here two points given, (-5,-2) and (4,3)

gradient (m):

[tex] \frac{3 - ( - 2)}{4 - ( - 5)} [/tex]

Answer:

∠ T = 76°

Step-by-step explanation:

RSTU is a cyclic quadrilateral

the opposite angles of a cyclic quadrilateral sum to 180°

∠ T + ∠ R = 180°

∠ T + 104° = 180° ( subtract 104° from both sides )

∠ T = 76°

5/6 girls have either blue or brown eyes. Since 2/9=4/18

And 11/18 + 4/18 = 15/18

You can simplify 15/18 to 5/6

Answer:

Step-by-step explanation:

Answer:

10.16

Step-by-step explanation:

average change =  9.16 - 4.35 / 2020 - 1996  = 0.2

Cost = 9.16 + (2025 -2020) x 0.2 = 10.16

So the answer is $10.16

Answer:  0.000039

Step-by-step explanation: i us calculator

Answer:

0.000039.

Step-by-step explanation:

3.9 / 100,000

Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)

filling in the zeroes as you move alomg.

So its  0.000039

The true statements are:

Given:

To find the large size meals that came with milk,

71-55= 16.

Therefore, the total number of large size meals ordered was:

16+22+86 = 124.

Hence, options A, D and E are correct.

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Using a system of equations, it is found that Teresa's password in the 7th day of the month is of 98.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The rule for her password is defined as follows: A whole number that is equal to four times the fourth power of the day of the month divided by two times the square day of the month. Hence, considering n as the day of the month, the equation is given by:

[tex]P = \frac{4n^4}{2n^2} = 2n^2[/tex]

Hence, for the 7th day, the password is given by:

P = 2 x 7² = 98.

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The inequality that represents this situation is x ≤ 6. On the other hand, the parents can ship only the tennis rackets.

The equality that represents this situation is x ≤ 6 because the number of pounds that can be added (x) has to be 6 or less than 6.

The parents can only ship the tennis rackets because these are 5 pounds which meets the criteria of the inequality.

The inequality would change to x ≤ 1 because the weight that could be added if he needs these producs changes to only 1 pound.

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The value of a and b given that the opposite side are equal are 17 and 6 respectively

The kite is a quadrilateral with 4 sides and the opposite side of the side are equal. If they are, then;

2a - 4 = 30
2a = 34

a = 17

Similarly

3b+6 = 24

3b = 18
b = 6

Hence the value of a and b given that the opposite side are equal are 17 and 6 respectively

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Answer:

A is the answer

Step-by-step explanation:

3×5+6=15+6=21

[tex]\left( \sqrt 3 + \sqrt 7\right) \left( \sqrt 3 - \sqrt 7\right)\\\\=\left(\sqrt 3 \right)^2 - \left(\sqrt 7 \right)^2\\ \\=3-7\\\\=-4[/tex]

Answer:

- 4

Step-by-step explanation:

([tex]\sqrt{3}[/tex] + [tex]\sqrt{7}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] )

each term in the second factor is multiplied by each term in the first factor.

[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) + [tex]\sqrt{7}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) ← distribute parenthesis

= 3 - [tex]\sqrt{21}[/tex] + [tex]\sqrt{21}[/tex] - 7 ← collect like terms

= - 4

Answer:

positive correlation

Step-by-step explanation:

As the temperature increases, the ice cream sales will increase.

Since both x and y are increasing, this is a positive correlation.

Answer:

2√97

Step-by-step explanation:

BD² = BC² + DC²

⇒ BD = √BC² + DC²

= √(18)² + (8)²

= √324 + 64

= √388

Rewrite 388 as 2² · 97.

Factor 4 out of 388.

√4(97)

Rewrite 4 as 2².

√2² · 97

Pull terms out from under the radical.

2√97

The result can be shown in multiple forms.

Exact Form:

2√97

Decimal Form:

19.69771560...

Answer:

I can help, but can you label which is base, height, and length

Step-by-step explanation:

Answer:

[tex]\textsf{B.} \quad x=\dfrac{1}{2}[/tex]

Step-by-step explanation:

Log laws

[tex]\textsf{Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]

[tex]\textsf{Equality law}: \quad \textsf{if }\: \log_ax=\log_ay\:\textsf{ then }\:x=y[/tex]

Therefore:

[tex]\large \begin{aligned}\log_6 x+ \log_6 3 & =\log_6 (x+1)\\\log_6 (3x) & =\log_6 (x+1)\\3x & =x+1\\2x & =1\\x & =\dfrac{1}{2}\end{aligned}[/tex]

Answer:

[tex]\huge\boxed{\sf \$\ 205}[/tex]

Step-by-step explanation:

Work hours = 28 hours

Earning = $8 per hour

1 hour = $8

28 hours = $8 × 28

28 hours = $224

He has earned $224 last month.

Spent = $19

Left:

= Earning - Spent

= $224 - $19

= $205

[tex]\rule[225]{225}{2}[/tex]

Answer:

I am not too sure so I deeply apologize for any wrongs, but this is my thinking.

Joe bought each taco for 4 dollars, and bought an asada fry for 50 cents.

On the other hand-

Sam also bought 1 taco for 12 dollars, and bought 2 asada fries, one of them was 1 dollar, and one of them was 75 cents.

The tables that can be used to show that the functions that made them are inverses of each other are the tables attached.

When functions are inverses of each other, they will give inverted x and y values.

This means that the value of x for one function, will be the value of y for the other function.

The tables that have inverse functions will therefore have a table where x values of:

627, 227, 27, 2, and 27 which will be y values in the other table.

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Veremos que de los 20 intentos, Mariana metio 16 canastas.

Sabemos que ella tiro 20 veces, y sabemos que ella ha errado 1/5 de los tiros.

Entonces los otros 4/5 tiros entraron. Para obtener el numero de canastas que ha metido, debemos multiplicar la fracción por la cantidad total de tiros al aro:

C = 20*(4/5) = 16

Así, podemos concluir que Mariana ha metido 16 canastas.

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Answer:

504 combos

Step-by-step explanation:

Cannot use digits twice and last is '7'

 9 digits for first place choice  

     8 digits for second place

         7 digits for third place

               only  '7' for fourth place       9 x 8 x7 = 504 combos

You can use the rule of product from combinatorics to find out how many ways can the remaining digits be chosen.

The remaining digits for the given condition can be chosen in 504.

Option B: 504

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in   ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

Since 7 is already fixed and there is constraint that no two digits can be used, thus, we initially have only 10-1 = 9 digits.

For first place, we can chose 1 digit out of 9 digits in ways,

⁹C₁ = 9 ways

For second place, as one of the digit is used, thus, 1 digit out of 8 digits can be chosen in ways,

⁸C₁ = 8 ways

For third place, as two of the digits is used, only 7 digits are remaining to chose from. Thus, 1 digit out of 7 remaining digits can be chosen in ways.

⁷C₁ = 7 ways

Using product rule, we get:

Total possible number of choices for choosing digits for first, second and third position of lock with given constraints is given as

= 9 x 8 x 7

= 504 ways

Thus, The remaining digits for the given condition can be chosen in,

Option B: 504

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The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.

It should be noted that a function simply means a relation or expression that involves two or more variables.

In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.

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Answer:

B. f(x) = /x/ + 3

Step-by-step explanation:

edg 22'

Answer:

25/72

Step-by-step explanation:

Total outcomes :

P (red twice) :

P (blue twice) :

P (green twice) :

Adding :

Answer:

Step-by-step explanation:

P(3 and 4)= 1/6×1/6

                =1/36

Step-by-step explanation:

k has to be replaced by k+1.

so,

4 / ((k+1)(k+1 + 3)) = 4 / ((k+1)(k+4))

I am not sure how far your teacher expects you to go with this.

just in case, I will do also the full multiplications

4 / ((k+1)(k+4)) = 4 / (k² + 4k + k + 4) = 4 / (k² + 5k + 4)

and if you need the factor to go from Pk to Pk+1 :

Pk+1 / Pk = (4/((k+1)(k+4))) / (4/(k(k+3)) =

= (4/((k+1)(k+4))) × (k(k+3))/4 =

= (k(k+3)) / ((k+1)(k+4))