us
Find a formula for the nth term in this
arithmetic sequence:
a₁ = 7, a2 = 4, a3 = 1, a4 = -2, ...
an = [? ]n +

UsFind A Formula For The Nth Term In Thisarithmetic Sequence:a = 7, A2 = 4, A3 = 1, A4 = -2, ...an =

Answers

Answer 1

The formula for the nth term of the arithmetic sequence is [-3]n+10

What is the nth term of an arithmetic sequence?

⇒ The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

Calculation:

It is given that the given sequence is an arithmetic sequence.

First term a1 = 7

Second term a2 = 4

Common difference d = 4-7

⇒ d=3

From the general formula,

an = a1 + (n - 1)d

On substituting,

an = 7+ (n-1)(-3)

an = 7-3n+3

an = -3n+10

⇒ Thus the general formula for the nth term of the arithmetic sequence  is -3n+10

an= [-3]n+10

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Related Questions

How many grams of the isotope remains after 90 days?

Answers

Answer:

84,08964 [gr.].

Step-by-step explanation:

for more details see in the attachment.

look at the screenshot and explain your answer pls

Answers

Answer:

f(x) = g(x) + 9 because it is shifted 9 to the right

PQR has the vertical P(0,4), Q(4,5), and R(4,1). Determine if PQR is the right triangle.

Answers

Answer:

no

Step-by-step explanation:

no it is not a right triangle

two angles share the same x but no angles share the same y

you can see this clearly when graphed

the answer is no

Cody earned 600 from delivering groceries last year. He deposited this money in an account that pays an interest rate of 2% compounded annually. What will be his balance after 20 years. pls answer asap

Answers

The balance that Cody earned after 20 years is 891.57. Using the compound interest formula, the required value is calculated.

How to calculate the compound interest?

The compound interest is calculated by

[tex]A = P(1 + \frac{r}{n} )^n^t[/tex]

Where,

A - Total amount (Future value)

P - Principal amount (Initial value)

r - The rate of interest

n - Number of times compounded per 't'

t - Total number of years the money is invested

Calculation:

It is given that,

P = 600

r = 2% = 0.02

t = 20 years

n = 1 (since the amount is compounded annually)

Then,

[tex]A=600(1+\frac{0.02}{1})^1^*^2^0[/tex]

   = 600 (1 + 0.02)²⁰

   = 600 (1.02)²⁰

   = 891.57

Therefore, the balance after 20 years is 891.57.

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Pls answer before 8:00 pm

Answers

Answer:225 jeans.

Step-by-step explanation: What we need to do here is convert the number of jeans to a percentage. There were 25 jeans when 50 customers were surveyed and 25 is half of 50 or 50%. This means that if 450 pairs of pants are ordered half of them should be jeans. 450/2 = 225.

Una página de plástico diseñada para guardar cromos puede contener hasta 9 cartas. ¿Cuántas páginas se necesitarán para almacenar 517 tarjetas? Dé una respuesta numérica adecuada a la pregunta. (Encuentre el número contable mínimo que funcionará).

Answers

Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.´

¿Cuántas páginas se necesitarán para almacenar 517 tarjetas?

Sabemos que cada página puede almacenar hasta 9 cartas.

Entonces queremos ver cuantos grupos de 9 cartas hay en el conjunto de 517, para ver esto tomamos el cociente entre 517 y 9.

N = 517/9  = 57.44

Y no podemos tener un numero racional, así que debemos redondear al proximo número entero, que es 58.

Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.

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find the square roots by division method of
210,681

Answers

Answer: square of 459 is 210681

What is the equation of a line that goes through the point (0, -5) and
has a slope of -3?
O -5y = - 3x
O y = 3x - 5
O y=-3x - 5
O y = -5x - 3

Answers

Answer:

Equation of a line has a form as below:

y=ax+b

Given:

b ( the y intercept)= -5

a ( the slope)= -3

so, y= -3x -5 is the equation of the line.

Please give me Brainliest [:)

A tap discharges 30 litres of water in 2 minutes. How many minutes will it take for a container with a capacity of 80 litres to be completely filled?

this is a rate question. please dont use algebra! thanks ​

Answers

Answer:

5.3333333 or 5 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

30 divided by 2 equals 15.

80 divided by 15 equals 5.3333333 or 5 [tex]\frac{1}{3}[/tex].

I
. If the results of a probability experiment can be any integer from 16 to 18 and the
probability that the integer is less than 20 is 0.88, what is the probability that the
integer be 20 or more?

Answers

Using the probability concept, considering complementary probabilities, there is a 0.12 = 12% probability that the integer is of 20 or more.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

If two events are complementary, the sum of their probabilities is of 1. In this problem, we have that an integer being less than 20 is complementary to an integer being 20 or more.

We have that:

There is a 0.88 probability that the number is less than 20.There is a x probability that the number is 20 or more.

These events are complementary, hence:

0.88 + x = 1

x = 1 - 0.88

x = 0.12

There is a 0.12 = 12% probability that the integer is of 20 or more.

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. x is directly proportional to y. When x = 5, y = 3. Work out the value
of y when x =9

Answers

Answer: y = 5.4

Step-by-step explanation: This is a proportional statement. So we can set up a system of proportions.

So we know when x is 5, y is 3. Thus, we can set up a proportion [tex]\frac{x}{y}[/tex] such that substituting will give [tex]\frac{5}{3}[/tex].

Now, we know when x is 9, y is some unknown number. So we can set up the second proportion as [tex]\frac{9}{y}[/tex].

Since 5/3 and 9/y are directly proportional, these 2 expressions are therefore equal. So we have [tex]\frac{5}3}[/tex] [tex]= \frac{9}{y}[/tex].

Cross multiplying, we get [tex]5y = 27[/tex].

Dividing by 5, we get [tex]y = 5.4[/tex]

Hope this helped!

sinx + siny=a
cosx + cosy=b
Find cos(x+y/2)

Answers

Using the addition rule of the Sine function and the Cosine function, we obtain [tex]\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}[/tex].

What are the formulas for (sin x + sin y) and (cos x + cos y)?The formula for the addition of two Sine functions ([tex]\sin x+\sin y[/tex]) is [tex]\sin x + \sin y = 2\sin\frac{x+y}{2}\cos\frac{x-y}{2}[/tex].The formula for the addition of two Cosine functions ([tex]\cos x+\cos y[/tex]) is [tex]\cos x + \cos y = 2\cos\frac{x+y}{2}\cos\frac{x-y}{2}[/tex].

Given that

[tex]\sin x + \sin y = a\\\cos x + \cos y = b[/tex]

Then using the above formulas, we get:

[tex]2\sin\frac{x+y}{2}\cos\frac{x-y}{2}=a[/tex]       (1)

[tex]2\cos\frac{x+y}{2}\cos\frac{x-y}{2}=b[/tex]       (2)

Dividing the equation (1) by (2), we get:

[tex]\dfrac{\sin\dfrac{x+y}{2}}{\cos\frac{x-y}{2}}=\dfrac{a}{b}\\\Longrightarrow \tan\dfrac{x+y}{2}=\dfrac{a}{b}[/tex]             (3)

Now, we know that  [tex]\cos\theta=\dfrac{1}{\sqrt{1+\tan^2\theta}}[/tex].

Thus, using the above formula, we get from (3):

[tex]\cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\tan^2\dfrac{x+y}{2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\dfrac{a^2}{b^2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}[/tex]

Therefore, using the addition rule of the Sine function and the Cosine function, we obtain [tex]\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}[/tex].

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pls help

heather had some candy to give to her five children. she first took eight pieces for herself and then evenly divided the rest amount her children. each child received four pieces. with how many pieces did she start?

Answers

Answer: She started with 28 pieces of candy.

Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.

Answer:

She started with 28 candies.

Explanation:

Let the total amount of candies be c

Build equation:

heather took out 8 candies for herself

remaining: c - 8

then divided the remaining candies to her five children

each gets: (c - 8)/5

Here given each gets 4 candies

So,

(c - 8)/5 = 4

c - 8 = 5(4)

c - 8 = 20

c = 20 + 8

c = 28

Cos3A ×cos2A =cos A ×cos 2A -sin4A×sin A=prove it

Answers

Answer:

Step-by-step explanation:

cosA×cos 2A-sin4A×sinA

=cosAcos2A-2sin2Acos2A sin A

=cos 2A(cosA-2sin2AsinA)

=cos 2A(cosA-2×2sinAcosAsin A)

=cos2A×cosA(1-4sin²A)

=cos 2AcosA(1-4(1-cos²A))

=cos2A×cosA(1-4+4cos²A)

=cos 2A(-3cosA+4cos³A)

=cos 2A(4cos³A-3cosA)

=cos 2A×cos3A

the mth term of a sequence 3,6,12,24,48,....... is 1536 . find value of m .
please help need ans asap !
best answer with formula will be marked brainliest

Answers

Answer:

Step-by-step explanation:

The set of all triples of real numbers with the standard vector
addition but with scalar multiplication defined by
k(x, y, z) = (k2
x,k2
y,k2
z)

Answers

The given operation is not a vector space because it fails axiom 8 ("distributivity of scalar multiplication with respect to field addition").

What is a vector space?

A vector space can be defined as a space (set) which comprises vectors, whose elements can be added under the associative and commutative operation, and can be multiplied by scalars under the associative and distributive operation.

This ultimately implies that, a vector space must be comprised of at least one element, which is generally regarded as its zero vector and the smallest possible vector space.

For every element {u, v and w} in vector (V), and element {a and b} in vector (F), this 8th axiom must be satisfied in order to have a vector space:

(k + m)u = ku + mu

Note: The above axiom (k + m)u = ku + mu is generally referred to as the "distributivity of scalar multiplication with respect to field addition."

Given the following vector:

k(x, y, z) = {k²x, k²y, k²z}

If x₁ · x₂ ≥ 0, then, (kx₁) · (kx₁) = k²x₁y₁ ≥ 0 [Closed in scalar multiplication].

If x₁ · x₂ ≥ 0, x₂ · y₂ ≥ 0, then (x₁ + x₂) · (y₁ + y₂):

x₁y₁ + x₂y₂ + x₁y₂ + x₂y₁ < 0

x₁y₁ + x₂y₂ < -(x₁y₂ + x₂y₁) [Not closed in vector addition].

In conclusion, we can infer and logically deduce that the given operation is not a vector space because it fails axiom 8 ("distributivity of scalar multiplication with respect to field addition").

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Complete Question:

Determine whether each set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail.

The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = {k²x, k²y, k²z}.

Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 400,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $32,000; second year, $72,000; third year, $80,000; fourth year, $100,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00".

Answers

The dividends per share on each class of stock for each of the four years for Seventy-Two Inc. are as follows:

Cumulative Preferred Stock:

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $40,000    $36,000        $36,000

Outstanding shares          60,000      60,000      60,000           60,000

Dividend per share           $0.53       $0.67          $0.60             $0.60

Common Stock:

                                          Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $0              $32,000     $44,000       $64,000

Outstanding shares        400,000    400,000     400,000       400,000

Dividend per share        $0              $0.08            $0.11              $0.16

Data and Calculations:

                              3% Cumulative Preferred       Common Stock

Outstanding shares          60,000                        400,000

Par Value                            $20                              $25

Total value                       $1,200,000              $10,000,000

Annual dividend            $36,000 ($1,200,000 x 3%)

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $72,000    $80,000       $100,000

Cumulative Preferred      $32,000    $40,000    $36,000        $36,000

Common Stock                $0              $32,000    $44,000        $64,000

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What is 57, 020, 000 expressed in scientific notation

Answers

Answer:

we write in form of (a x 10^n)

5.702 x 10⁷

Answer:

5.702 x 10^7

Step-by-step explanation:

In scientific notation, a number in the ones place is raised to a power of 10: the power will be positive if the original number is huge, and negative if the original number is small.

The number 57,020,000 is a huge number. We simply move the decimal 7 places to the left to get 5.072, and since we moved the decimal 7 places, 10 is raised to the power of 7.

Brainliest, please :) Hope this helps!

La dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the following probability. The number on the upward face is not 7

Answers

Answer:

11/12

Step-by-step explanation:

no of sample space=12

number of 7 to occur is 1/12

number of not 7:

since the total probability is 1

so 1-1/12=11/12

Perform the following mathematical operation, and report the answer tot he correct number of significant figures 0.396/0.5

Answers

Answer:

answer 0.8

Step-by-step explanation:

Solution

0.396 has 3 significant digits

0.5      has 1 significant digit.

Therefore the answer should be 1 significant digit.

0.396 / 0.5 = 0.792

Rounded to 1 sig dig, the answer = 0.8

Find the rational roots f(x) =3x3+ 2x2 + 3x + 6

Answers

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

How to determine the rational root of the function f(x)?

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 3

b = 6

The factors of 3 and 6 are

a = 1 and 3

b = 1, 2, 3 and 6

So, we have:

Rational roots = ±(1, 2, 3, 6)/(1, 3)

Split the expression

Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3

Evaluate the quotient

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)

Remove the repetition

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)

Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

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What is the distance from (-5,2) and (0,4)?

Answers

Answer:

d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

The distance between two points is given by

d = [tex]\sqrt{ ( x2 - x1) ^2 - ( y2-y1)^2}[/tex]  where ( x1,y1) and ( x2,y2) are the two points

d = [tex]\sqrt{( 0 - -5) ^2 + (4 - 2) ^2}[/tex]

d = [tex]\sqrt{5^2 + 2^2}[/tex]

d = [tex]\sqrt{25 +4}[/tex]

d = [tex]\sqrt{29}[/tex]

Answer: [tex]\Large\boxed{Distance=\sqrt{29} }[/tex]

Step-by-step explanation:

Given information

[tex](x_1,~y_1)=(-5,~2)[/tex]

[tex](x_2,~y_2)=(0,~4)[/tex]

Given the distance formula

[tex]Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the formula

[tex]Distance =\sqrt{((0)-(-5))^2+((4)-(2))^2}[/tex]

Simplify values in the parenthesis

[tex]Distance =\sqrt{(0+5)^2+(4-2)^2}[/tex]

[tex]Distance =\sqrt{(5)^2+(2)^2}[/tex]

Simplify the exponents

[tex]Distance =\sqrt{25+4}[/tex]

Simplify values in the radical sign

[tex]\Large\boxed{Distance =\sqrt{29}\approx5.4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

i need help w this pls

Answers

Answer: C

Step-by-step explanation: The y-intercept is 1/5 since the point on the y-axis is (0, 1/5). The slope is 2/3 because the other coordinate is up 2 and right 3 from (0, 1/5) *remember rise over run*. The shading means that the answer (y) must be less than or equal to 2/3x + 1/5, hence it being underneath the line.

The average telephone bill in a locality is $70, with a standard deviation of $40. In a sample of 50 randomly selected phone connections, what is the probability that the sample average will exceed $75?

Answers

Using the normal distribution, there is a 0.1894 = 18.94% probability that the sample average will exceed $75.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The parameters for this problem are given as follows:

[tex]\mu = 70, \sigma = 40, n = 50, s = \frac{40}{\sqrt{50}} = 5.66[/tex]

The probability that the sample average will exceed $75 is one subtracted by the p-value of Z when X = 75, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (75 - 70)/5.66

Z = 0.88

Z = 0.88 has a p-value of 0.8106.

1 - 0.8106 = 0.1894.

0.1894 = 18.94% probability that the sample average will exceed $75.

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PLEASE HELP ASAP!!! ALSO PLEASE ADD A DESEND EXPLANATION!! Find the original price if the price was: $8a after 60% increase.

Answers

Answer: $3.2a

Step-by-step explanation: We need to decrease $8a by 60 percent because $8a is the price after a 60% increase. 8 x 6/10 is 48/10 which as a mixed number is 4 8/10 or 4.8. Now, we subtract 4.8 from 8 which yields our answer of 3.2.

7. Find (f•g)(x) for the pair of functions.
f(x)=x+1
g(x) = 4x - 11
(f•g)(x) =

Answers

Answer:

  (f•g)(x) = 4x² -7x -11

Step-by-step explanation:

The product of the two functions is the product of their respective definitions.

(f•g)(x)

(f•g)(x) = f(x)•g(x) = (x+1)•(4x -11)

  = x(4x -11) +1(4x -11) . . . . . use the distributive property

  = 4x² -11x +4x -11 . . . . . . . and again

(f•g)(x) = 4x² -7x -11 . . . . . collect terms

The price of a product is reduced by 30%. By what percentage should be increased to make it 100%?​

Answers

it should be 70 percent

Step-by-step explanation:

100 subtract by 30 is 70 percent

just need these 3 please and thanks in advance

Answers

The conclusion that can be made based on the hypothesis is:

1. It's a valid conclusion.

2. It is a valid conclusion.

3. It is a valid conclusion.

How to illustrate the information?

According to the law of detachment, when the conditional and the hypothesis are true, the conclusion will be true.

Therefore, if 6x < 42, the value of x will also be less than 6. This is valid.

When an angle is more than 90°, it's an obtuse angle and since A is 103°, it's valid.

Also, the statement about the violin being a string instrument is logically valid.

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4. will give brainliest

Answers

The equation of the ellipse in standard form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

What is the equation of the ellipse associated with the coordinates of the foci?

By analytical geometry we know that foci are along the major axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the standard form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b     (1)

Where:

a - Length of the major semiaxis.b - Length of the minor semiaxis.

Now, we proceed to find the vertex and the lengths of the semiaxes:

a = 10 units.

b = 8 units.

Vertex

V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)

V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

V(x, y) = (1.5, 1) + (- 4.5, 1)

V(x, y) = (- 3, 2)

The equation of the ellipse in standard form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

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Attached as photo. Please help

Answers

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

How to estimate a definite integral by numerical methods

In this problem we must make use of Euler's method to estimate the upper bound of a definite integral. Euler's method is a multi-step method, related to Runge-Kutta methods, used to estimate integral values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a)     (1)

The steps of Euler's method are summarized below:

Define the function seen in the statement by the label f(x₀, y₀).Determine the different variables by the following formulas:

xₙ₊₁ = xₙ + (n + 1) · Δx     (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ)     (3)Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the numerical approximation of the definite integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

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Muscles work together to produce movement. as one muscle _________ ., the other one _________. a. contracts, relaxes b. pulls, contracts c. pulls, pushes d. relaxes, pushes Permissive parent set rules for their children but never in force them. They most never say no. Since permissive parents didnt have healthy boundaries growing up they tend to. Instructions: Find the length of the arc. Round your answer to the nearest tenth. Typical broker-dealer fees that must be disclosed as part of a fee disclosure document would include? The combination for opening a safe is a four-digit number made up of different digits. How many different combinations cna you make, using only odd digits? What might explain the association between malignant tumors and chromosomal abnormalities? Pilots can be tested for the stresses of flying high-speed jets in a whirling "human centrifuge," which takes 1.3 min to turn through 22 complete revolutions before reaching its final speed.a)What was its angular acceleration (assumed constant)?Express your answer using two significant figures.b)What was its final angular speed in rpm ?Express your answer using two significant figures Construction work is much riskier than working as a server at a restaurant. as a result, we'd expect a difference in wages between the two jobs. the difference is known as:_______ In singin' in the rain why was it that kathy seldon's title card (film credit) was taken off the screen? What type of spider is this, i just got bit by it Canceling units is also called: a. changing the value c. multiplication b. unit analysis d. making connections Question 5(Multiple Choice Worth 2 points)(03.04 MC)Vito is writing an essay about Guy de Maupassant's "The Necklace." In it, he writes the following sentence:Madame Loisel suffered so much paying for the necklace over 10 years that she looked much older than her actual age.Which of the following sentences would correct Vito's sentence to fit the rules of writing about literature?O Madame Loisel suffered so much paying for the necklace over 10 years that she was made to look much older than her actual age.O Madame Loisel suffers so much paying for the necklace over 10 years that she looks much older than her actual age.O Madame Loisel was made to suffer so much paying for the necklace over 10 years that she looked much older than her actual age.O Madame Loisel was suffering so much paying for the necklace over 10 years that she was looking much older than her actual age. Highlight each sentence and match to the correct answer.Will you write me a letter? Question or statementIt's a really old house. Question or statementThe lion roared angrily. Question or statementCan I come over to your house? Question or statementWhy is this here? Question or statementThe trousers were covered in red flowers. Question or statement Factor the polynomial completely10 -25r - 12r + 30 A colleague has an appointment scheduled for 10:00am to see your Manager. Unfortunately, he is not in the office when the colleague arrives, and you do not know where he is or how long he will be. How will you handle this situation? (4) On 1 October 2020 property, plant, and equipment of Kobia Limited consisted of the following balances:Original Cost Accumulated DepreciationLand and buildings R550 000 -Plant and Equipment R875 400 R338 200Motor vehicles R647 000 R211 000Furniture and fittings R125 000 R 32 000The straight-line rates of depreciation, based on cost, used to date were 10% per annum for plant and equipment; 20% per annum for motor vehicles; and 12.5% per annum for furniture and fittings. It is the companys policy to make full years depreciation charge on new capital items of fixed assets in the year of purchase. No depreciation is raised on capital items sold during the year. The following additional information is relevant to the calculation of depreciation for the year ended 30 September 2021.a) Walter & Associates, a firm of appraisers and valuers, professionally valued Land, and buildings during the year at R975 000. When land and building were acquired, R350 000 was attributable to the buildings. b) An item of equipment bought in November 2016 for R105 000 is now recognised to have a total useful life of 20 years. c) A motor vehicle purchased in June 2018 for R85 000 was traded in at a value of R44 000 in part exchange for a new motor vehicle costing R140 000.d) Included with the furniture and fittings is an item which originally cost R15 000, and which is already fully depreciated and is to be discarded.You are required to:Prepare a reconciliation schedule for property, plant, and equipment in a form suitable for inclusion in the companys financial statements for the financial reporting period ended 30 September 2021. Clearly show the amount to be charged against the years profits and the balances to be shown on the statement of financial position. You may include the relevant accounting policy note as part of your answer. Ignore taxation. need heeeelp please Removal of waste and addition of fresh nutrients will most help increase which part of a growth curve? The narrative solutions approach combines the insights of _____ with narrative techniques. A 500-ml glass beaker is filled to the brim with ethyl alcohol at a temperature of 5. 00c. how much will overflow when its temperature reaches 22. 0c?