Simon's salary has increased by 6% p.a. over the past three years. it is now $35730.40 p.a.
a) what did he earn per year three years ago
b) what is his gross monthly salary at the present rate
c) His deductions each month amount to 22.5% of his gross salary. what is his net pay per month?​

Answer:

II) 78

Step-by-step explanation:

2x - 6 + 7x + 15 = 90

9x + 9 = 90

9x = 81

x = 9

<ABC:

7x + 15

7(9) + 15

78

Answer and Step-by-step explanation:

To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.

2x - 6 + 7x + 15 = 90

Combine like terms.

9x + 9 = 90

Subtract 9 from both sides.

9x = 81

Divide both sides by 9.

x = 9

We get x to be 9.

Now, we can plug this in for angle ABC.

7(9) + 15

Multiply 7 and 9 together.

63 + 15

Add 63 and 15 together.

78

The measure of ABC is 78.

That means the answer is II) 78.

#teamtrees #PAW (Plant And Water)

Answer: 19,531,250

.......

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

Answer:

x= 2.28

or, x= 0.219

Step-by-step explanation:

2x²-5x+1 =0

a= 2, b= -5 and c= 1

x= (-b + √(b²-4ac))/2a

= (5 + √(25-8))/4

= (5 + √17)/4

Answer:

In about 2018, we will have the population at 30 million

Step-by-step explanation:

Here, we want to get the year in which the population of Texas will reach 30 million

What we have to do here is to substitute f(x) for 30; then get the value of x at this point

We proceed as follows;

30 = 21(1.02)^x

30/21 = 1.02^x

1.42857 = 1.02^x

ln 1. 148257 = ln 1.02^x

ln 1.148257 = x ln 1.02

ln 1.42857/ln 1.02 = x

x = 18 approximately

Adding this to the initial 2000, we have 2018

Answer:

36

Step-by-step explanation:

Answer:

36 sides

Step-by-step explanation:

Answer:

4s+4

Step-by-step explanation:

I hoped this helped :)

Answer: 2^5*3^2*7*1

Step-by-step explanation:

Answer:

$20

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

40/2=20

(-35-42-63)/7= (-140)/7=-20

Odpowiedź w załączniku

Answer:

The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).

Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.

Here's a problem:

c ⊿ a (12)

  b (6)

C is missing, we have to find C, so here's what we do:

Step 1: You square all the numbers in the equation

12² + 6² = c²

↓

144 + 36 = c

Step 2: You add 144 + 36 and you get 180

Step 3: Then you find the square root >>  [tex]\sqrt{180\\[/tex] and you get ≈13.4

Now sometimes, the a or b would be missing, for example:

c (13)⊿ a

     b (5)

A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)

Step 1: You square all the numbers in the equation

a² + 5² = 13²

a + 25 = 169

For this next part, you must subtract a or b (in this case, b) on both sides, for example:

25 – 25 = 169 - 25

25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.

Then we find the square root of 144 and we get 12

I hope this helps :)

Answer:

x = -8

Step-by-step explanation:

The line is a vertical line with x-intercept of -8

Answer:

There's no question.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since we are given three sides and we want to find an angle, we can use the law of cosines.

The law of cosines is given by:

[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]

In this case, a = 3, b = 5, and c = 7. Therefore:

[tex](5)^2=(3)^2+(7)^2-2(3)(7)\cos(B)[/tex]

Evaluate:

[tex]25=58-42\cos(B)[/tex]

Therefore:

[tex]-42\cos(B)=-33[/tex]

Dividing both sides:

[tex]\displaystyle \cos(B)=\frac{33}{42}[/tex]

And by taking the inverse cosine of both sides:

[tex]\displaystyle \angle B=\cos^{-1}\Big(\frac{33}{42}\Big)=38.2132...\approx 38^\circ[/tex]

Our answer is C.

Answer:

38°

Step-by-step explanation:

Answer:

113.04

π×6^2 is the solution of this

Answer:

area = 113.1 m²

Step-by-step explanation:

area = PiR²

area = (Pi)(6²) = 113.1 m²

Answer:

y=1/2x-3/2

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

-1=1/2(1)+b

b=-3/2

y=1/2x-3/2

Answer:

7

Step-by-step explanation:

3*7+4=25

5*7-10=25

Answer:

Average rate of change = 1

Step-by-step explanation:

Average rate of change of a function between x = a and x = b is defined by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4

Therefore, average rate of change of the function = [tex]\frac{f(4) - f(2)}{4-2}[/tex]

From the graph attached,

f(4) = 4

f(2) = 2

Average rate of change = [tex]\frac{4-2}{4-2}[/tex]

                                        = 1

Therefore, average rate of change of the function in the given interval is 1.

Answer:

1) [tex]9^{2}=81[/tex]

2) [tex]7=log_{2}(128)[/tex]

Step-by-step explanation:

1)

We need to use the property of power and logarithms, particularly this:

[tex]a=x^{log_{x}(a)}[/tex] (1)

So, let's take take the exponent:

[tex]9^{log_{9}}(\frac{1}{81})=9^{-2}[/tex]

[tex]\frac{1}{81}=9^{-2}[/tex]

now, we can write the negavitve power as:

[tex]\frac{1}{81}=\frac{1}{9^{2}}[/tex]

So, the aswer will be:

[tex]9^{2}=81[/tex]

2)

Applying equation 1, let's take log in base 2 on each side of the equation

[tex]log_{2}(2^{7})=log_{2}(128)[/tex]

using the power definition in log, we have:

[tex]7log_{2}(2)=log_{2}(128)[/tex]

Therefore, the answer is:

[tex]7=log_{2}(128)[/tex]

I hope it helps you!

Answer:

multiplicative inverse of -2/9 is -9/2.

Step-by-step explanation:

HOPE THIS HELPS :)

make sure to mark me brainliest for the 4 algebra calculators that WORK GREAT

Answer:

Step-by-step explanation:

Shaded area is the difference in the areas of big and small circles.

Answer:

area of shaded region

=π5²-π3²=50.2857142857cm²

Step-by-step explanation:

to find shaded region first find area of big circle and of small

subtract area of small circle from big circle.

Answer:

Each child ticket cost = $6

Step-by-step explanation:

Joe has = $100

His balance after tickets purchase = $22

Actual amount spent on tickets = $100 - $22 = $78

But,

Each adult ticket cost = $9

Total no of adult = 6

Total amount spent (adults) = $9 x 6 = $54

Balance remaining = $78 - $54 = $24

Amount spent of 4 child tickets = $24

No of children = 4

Therefore,

Amount spent on 1 child (1 ticket),

= $24/4 = $6.

It could be seen that each child ticket cost six dollars.

Answer:

[tex]4 - |m|[/tex]

Step-by-step explanation:

The two lines on each side of the m, signify that it is absolute value.

The difference of 4 and the absolute value of m, translates to 4 - |m|

Answer:

a)=80cm^2  b)=42cm^2

Step-by-step explanation:

10x8=80

7x6=42

add cm^2 at the end

Answer: 6 cm^2

Step-by-step explanation:

The area base when the trapezoid-based right prism has a volume of [tex]30\ cm^3[/tex], 6cm ,5 cm, 1 cm should be 6.

Here we assume

a = 6

b = 5

c = 1

Now we know that

area

[tex]= (a + b)\div 2 \times c\\\\= (6 + 5)\div 2 \times 1\\\\= 5.5\times 1[/tex]

= 6

Hence, The area base when the trapezoid-based right prism has a volume of [tex]30\ cm^3[/tex], 6cm ,5 cm, 1 cm should be 6.

Learn more about an area here: https://brainly.com/question/24682685

Answer:

angle plm+angle lpm+angle pml=180°[by angle sum property]

21°+angle lpm+38°=180°

59°+ lpm=180°

lpm=180°-59°

lpm=121°

lpm+npl=180°[by limear pair]

121°+npl=180°

npl=180°-121°

npl=59°

Answer:

The starting point of

F1 is

[tex](0. \frac{1}{2} )[/tex]

F2 is

[tex](0.3)[/tex]

Y will increase if the x increase in the two equation

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything