Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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Answer:

$4.24

Step-by-step explanation:

100%-15%=85%

85/100x4.99=4.2415

4.2415 rounded off to nearest cent =4.24

Hope this helps! Thanks.

The fraction that names one part of the granola bar shared by Tiana and her 3 brothers is c. 1 / 4.

Tiana has 3 brothers and they all shared a piece of the granola bar. This means that the number of people who shared the granola bar is:

= Tiana + 3 brothers

= 4 people

With each of them getting a piece of the granola bar, it means that the fraction that names one part of the bar is:
= Number of granola bars / Number of people

= 1 / 4

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The full question is:

Tiana shares a granola bar with her 4 brothers. They each get one piece of the bar. What fraction names one part?

Answer:

18.75

Step-by-step explanation:

Just add 2.5 and 16.25 :)

Answer:

Lily must live 18.75 miles away

Step-by-step explanation:

If Lily lives 2.5 miles further from school than Dante then the equation is

16.25+2.5 = x

Add them together and you get 18.75

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

Answer: (X/3)*4

Step-by-step explanation:

(1/3)*x

decreased by 4: (1/3)*x-4

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Given:

A line passes through the point,

The slope of the line is m = -1.

The objective is to find the equation of the line in point-slope and slope-intercept form.

Explanation:

To find equation in point-slope form:

The general formula of point-slope form is,

On plugging the given values in equation (1),

To find the equation in slope-intercept form,

The general formula of slope-intercept form is,

On further solving the equation (2),

Hence,

The equation of the line in point-slope form is y+6 = -x+5.

The equation of the line in slope-intercept form is y = -x-1.

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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\(\\ \sf\longmapsto Volume=500ft^3\)

\(\\ \sf\longmapsto (side)^3=500\)

\(\\ \sf\longmapsto side=\sqrt[3]{500}\)

\(\\ \sf\longmapsto side=7.5ft\)

Answer:

(P+20)(p-2)

Step-by-step explanation:

p^2+18p-40

P^2+(20-2)p-40

P^2+20p-2p-40

P(p+20)-2(p+20)

(P+20)(p-2)

Answer:

C

Step-by-step explanation:

Sara's speed is 10mph while Bob is 8mph

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer:

20°C

Step-by-step explanation:

64-32 =32

32 ×5 =160

160/9 = 17.8

17.8 rounded to the nearest tenth is 20°C.

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

37

Step-by-step explanation:

Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.

Next, proceed with the calculation. The formula for finding position of quartile is:

\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)

Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:

\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)

So the position of third quartile is at 9th position which is 37.

Henceforth, the third quartile is 37.

Answer:

37.

Step-by-step explanation:

The data is in ascending order, which is what we need to get the answer.

As there are 11 numbers the 9th number is the upper(third)  quartile.

The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.

It is 37.

Answer:

3/2

Step-by-step explanation:

1-2x+5=4x-3

1-2x-4x+5=-3

1-6x+5=-3

-6x+6=-3

-6x=-3-6

-6x=-9

6x=9

x=9/6

simplify

x=3/2

Answer:

x=1.5

Step-by-step explanation:

combining everything: -2x+6=4x-3

adding 2x to both sides, you get

6=6x-3

add 3 to both sides, you get 9=6x

divide, and then you get 1.5

uwu

The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

32

Step-by-step explanation:

77 quarters and dimes

q + d = 77

subtract q from both sides

d = 77 - q

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

A collection of  quarters and dimes is worth $12.50 (1250 cents)

25q + 10d = 1250

substitute for d

25q + 10(77 - q) = 1250

distribute

25q + 770 - 10q = 1250

Combine like terms

15q + 770 = 1250

subtract 770 from both sides

15q = 480

divide both sides by 15

q = 32

The function is given valid for interger from 39 to 42 ad domain and range -23 to -20 so the any function exceeding this values are not the onto funvtions.

The onto function is used when A and B are the two sets and there is at least one element in B that matches one or more elements in set A.

A Surjective Function's Qualities (Onto)

A surjective function is one where f(x) = y and where every element y may be transferred from element x. In other words, each member of the function's codomain is an exact replica of one or more of its domain elements.

The function is given as

A: (39, 40, ...., 42) ⇒ (-23, -22, ..., -20)

The function is given valid for interger from 39 to 42 ad domain and range -23 to -20 so the any function exceeding this values are not the onto funvtions.

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Answer:

\(\large \boxed{\sf \ \ \dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)} \ \ }\)

Step-by-step explanation:

Hello,

This is a right triangle so the area is:

\(\dfrac{1}{2} \left\{ \sqrt{x_2^2+y_2^2} \cdot \sqrt{x_1^2+y_1^2} \right\}\\\\=\dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

X=6+3y

y=x-6/3

Step-by-step explanation:

1)x-3y+3y=6+3y

            x=6+3y

2)3y+6=x

      3y=x-6

       y=x-6/3

Answer:

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

If Gauri spends 0.75 of her salary every month, that means she saves 0.25 of her salary:

Divide the total 39000 by her monthly savings:

So it will take Gauri 13 months to save rupees 39000.

The equation of the given line is y = 2x + 4

The equation y = mx + c is the general equation of any straight line, where m is the slope of the line and c is the y -intercept.

Given a line passing through points (-1, 2) and (-3, -2)

We know (y - y1) = [(y2−y1)/(x2−x1)](x - x1).

Therefore, y - 2 = [(-2-2)/(-3+1)](x+1)

y-2 = 2x + 2

y = 2x + 4

Hence, The equation of the given line is y = 2x + 4

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The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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Answer:16

Step-by-step explanation: