The gross monthly salary of a secretary is $6473. Find her net annual salary after deduction of $2015 were made monthly?

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²

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

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

x² - 4xy + 3y² = x² -xy - 3xy + 3y²

                      = x(x - y) - 3y(x - y)

                      = (x - y)(x - 3y)

x² - 3xy + 2y² = x² - xy - 2xy + 2y²

                      = x(x - y) - 2y(x - y)

                     = (x - y)(x - 2y)

Least common denominator = (x-y)(x - 2y)(x - 3y)

[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]

Answer:

7.5 litres

Step-by-step explanation:

Let the amount of orange juice ve 3x litres and amount of grapefruit juice be 1x. (As they are in ratio of 3:1.)

Now, according to the question,

So,

⇒ Amount of orange juice + Amount of grape fruit juice = 10 litres

⇒ 3x + x = 10

⇒ 4x = 10

⇒ x = 10 ÷ 4

⇒ x = 2.5

Now,

⇒ Amount of orange juice he used= 3x litres

⇒ Amount of orange juice he used= 3(2.5) litres

⇒ Amount of orange juice he used= 7.5 litres

∴ He used 7.5 litres of orange juice.

Answer:

24

Step-by-step explanation:

12 + (12)

first do for the bracket

12 + 12

24

Answer:

Keith p = 6d

Tameka p = 5d + 15

p=p so the following is also true:

6d = 5d + 15

let's do the same thing on both sides of the equation, subtract 5d

d = 15

after 15 days the will be on the same page

you could also say that Tameka is slowly catching up with a rate of 1 page per day

Answer:

It is placed to the left of –2

Answer:

x = 20

y = 3

Step-by-step explanation:

2x - 12y + x + 12y = 4 + 56

3x = 4 + 56

3x = 60

3x ÷ 3 = 60 ÷ 3

x = 20

x + 12y = 56

20 + 12y = 56

20 - 20 + 12y = 56 - 20

12y = 36

12y ÷ 12 = 36 ÷ 12

y = 3

Answer:

(-52,-9)

Step-by-step explanation:

Hope this helps

Answer:

u need to provide data where is data

Answer:

the first one

Step-by-step explanation:

all created functional values must always be negative, because "absolute value" Shays creates only positive numbers, and then the "-" in front makes then sure we have only negative numbers.

that rules out the third and fourth answer option.

to decide between first and second answer, I choose to see, when the function should deliver 0 as functional value.

f(x) is 0, when x+3 is 0. and that is only possible for x=-3.

so, at x=-3, y=0.

and that is only true for the first answer option.

Answer:

the jam requires three qts of raspberry so that would be 12 cups and there are 2 cups to a pint so 6 pints I think

Answer:

the amswe is 10........

Answer:

10

Step-by-step explanation:

Easiest is to cross off one from the beginning and end until you meet in the middle :D!

Ex:

8, 6, 10, 12, 14

   6, 10, 12

       10

Answer:

[tex]\overline{PO}\cong \overline{SO}[/tex]

Step-by-step explanation:

SAS (Side-Angle-Side) is a proof of congruence for two triangles. It states that when two triangles share two sides and the angle between them, they are congruent. Therefore, if PO and SO are proven to be congruent, the two triangles in the figure will share two sides and the angle between them, thus being congruent.

Answer:

42875

Step-by-step explanation:

because I would have 35 roses in each package

35 x 35= 1225

1225 would be multiplied by the 35 boxes

1225 x 35 = 42875

Given:

A car driver fills [tex]10\dfrac{1}{2}\text{ kg}[/tex] of CNG and paid Rs. 1995.

To find:

The cost of 1 kg of CNG.

Solution:

According to the given information,

The cost of [tex]10\dfrac{1}{2}\text{ kg}[/tex] of CNG = 1995 rupees

Using this information, we get

The cost of 1 kg of CNG = [tex]\dfrac{1995}{10\dfrac{1}{2}}[/tex] rupees

                                        = [tex]\dfrac{1995}{\dfrac{20+1}{2}}[/tex] rupees

                                        = [tex]\dfrac{1995}{\dfrac{21}{2}}[/tex] rupees

                                        = [tex]1995\times \dfrac{2}{21}[/tex] rupees

                                        = [tex]190[/tex] rupees

Therefore, the  cost of 1 kg of CNG is 190 rupees.

Answer:

the supplement of angle 70∘ is 110∘. Two angles are called supplementary angles if their sum is 180 degrees.

Answer:

2/n^4

Step-by-step explanation:

Anything to the zero power will become 1 so the m^0 will be 1 and that leaves just 2 in its place. Anything to a negative exponent is equal to its reciprocal so n^-1= 1/n^4. Then you multiple what remains, (2 x 1/n^4) to get the above answer.

Answer:

Step-by-step explanation:

2m^0*n^-4

=2*1*1/n^4

=2/n^4

Note:Any base that has it's power 0 is always considered as one .

If any base has negative exponent transfer that pase to the denominator then its power will be positive. For exanple:

4^-x

=[tex]\frac{1}{4^x}[/tex]

Answer:

[tex]a=1[/tex]

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides of a parallelogram are equal.

Therefore, set any two opposite sides equal to each other to solve for [tex]a[/tex]:

[tex]a+3=2a+2,\\\\3=a+2,\\a=\boxed{1}[/tex]

Answer:

a+3 = 2a+2

a+6 = 6a+1

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

a = -1

5a = -5

a = -1

a = -1

Answer:

The answer is number one, top one.

Step-by-step explanation:

You have no time for an explanation.

Answer:

306 square inches.

Step-by-step explanation:

All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).

6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.

Each face of one cube = 3*3 = 9 in^2.

Therefore the surface area =  9 * 34 = 306 in^2.

Answer:

the area of triangle is the product of the base and height divided by 2

Step-by-step explanation:

follow me

Answer:

Perimeter=a+b+c

Step-by-step explanation:

As perimeter is sum of all sides so,

Let sides of triangle be a, b and c

Perimeter=a+b+c

Mark me as brainliest

Thanks

Answer:

y = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

4 = 2² and 8 = 2³ , then

[tex]4^{y}[/tex] = 8, can be written

[tex](2^2)^{y}[/tex] = 2³

[tex]2^{2y}[/tex] = 2³

Since bases on both sides are equal, both 2, then equate exponents

2y = 3 ( divide both sides by 2 )

y = [tex]\frac{3}{2}[/tex]

y = 1.5

Step-by-step explanation:

[tex] {4}^{y} = 8[/tex]

Take the logarithm of both sides and you will get

[tex] \log {4}^{y} = y \log4 = \log8[/tex]

or

[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]

Answer:

12x+12

Step-by-step explanation:

Multiply 3 to everything in the parenthesis

so it becomes

18+12x-15

=12x+12

Answer:

A

Step-by-step explanation:

because the intercept on the y axis is 6

Answer:2/3

Step-by-step explanation:

Answer:

X=50000/3 for x>0

Step-by-step explanation:

First get rid of log (3), toss it over exuation sign.

Then calculate the formula for double angle (sin 2x = sin²X + sin(X) x cos (X) + cos²X)

After you do that you should be able to divide everything with cos²X and get polynomial exuation which is solved by substitution method (you'll get tan and then switch it for lets say letter: t

Answer:

Ten thousands

Step-by-step explanation:

Replace all other digits with zero

This gives 40,000

Ten thousand (10,000) has the same amount of digits

Answer:

The Answer is 5,3,-4,3,-2 because they are the points on the y axis

Step-by-step explanation:

the range = { -4, -2, 3, 5}

Answer:

Step-by-step explanation:

According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.

Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so

x = 140°

Answer:

12.25π + 77, or approximately 114.48.

Step-by-step explanation:

We can divide the figure into two semicircles (which equal to one circle) and a rectangle. We know that the diameter of the circles is 7, which means the radius is 3.5. Since all points on the circle are equidistant from the center point, we can subtract 18 - 3.5 - 3.5 = 11. Therefore, the dimensions of the rectangle are 11 x 7, which means the area of the rectangle is 77. The formula for the area of a circle is πr^2. There are two semicircles, which means the sum of them both will equal one circle, since they have the same radius. The sum of the areas of the two semicircles equate to 12.25π. The area of the figure is 12.25 + 77, or approximately 114.48.

Answer:

I think $3620.51

Step-by-step explanation:

If i did it right, the equation should be something like this?

13,000(.88)^10

Answer:

[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]