Please help me! This is urgent!!!!!

In the 5th year

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

.

.

.

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000  .   .   . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

Remember that,

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d           ---------------(i)

Where;

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

From the given sequence,

a = 1,200,000                          [which is the first salary]

d = 75,000                               [which is the increment in salary]

L = 1,500,000                          [which is the maximum salary]

Substitute these values into equation (i) as follows;

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

[tex]\frac{300,000}{75,000} = n - 1[/tex]

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

Answer:

8 is the difference, and 19 and 11 are the numbers. Hope this helped!

Answer: The difference is 8.

Step-by-step explanation:

We will let l represent the larger number s represent the smaller number.

so we know that L + S =30  

Also  2L - 3S = 5  shows the relationship between the numbers.

Now we have two equations.  

L + S =30

2L - 3S = 5  solve using any method.

L + S =30  solve for L  and substitute it into the second equation.

L + S = 30

   -S     -S

L = 30 -S    

2(30-s) - 3s = 5  Distribute

60 - 2s - 3s = 5  combine like terms

60 -5s = 5

-60         -60

-5s = -55

s = 11  

We know the smaller number is 11 so to find the larger number  we will subtract 11 from 30.

30 -11 =  19  

The larger number is 19

so To find the difference we will subtract 11 from 19.

19 -11 = 8

Answer:

Sh. 9000

Step-by-step explanation:

John : Peter = 2 : 1

John/peter = 2/1

John = 2 Peter.... (1)

Amos : John = 4:3

Amos/John = 4/3

Amos = 4/3 John.. (2)

From (1) & (2)

Amos = 4/3 * 2 Peter = 8/3 Peter.... (3)

Since,

Amos + John + Peter = 51000

Therefore,

8/3 Peter + 2peter + Peter = 51000

(8+6+3)/3 *Peter = 51000

17/3 * Peter = 51000

Peter = 51000 * 3/17

Peter = 3000 * 3

Peter = 9000

Hence, amount received by Peter is Sh. 9000.

Answer:

147

Step-by-step explanation:

7(-3/4 times -4 should most likely be written with a " ) " at the end:

7(-3/4 times -4).

Symbolically, this comes out to

        7            -3         -4

7( ----------- )*(------ * --------- )   =   49(3) = 147

        1              4          1

Note:  If you are given possible answer choices, please share them.  Thanks

Answer:

null hypothesis: 20% of the newly hired candidates are women.

alternative hypothesis: out of 100% of the workers , only 40% are women and you 60% are male.

The null hypothesis = 20% of candidates are females who applied.

The alternative hypothesis is that only 20% of this store is female, 80% is male.

Hope it helps!

Answer:

Step-by-step explanation:

Pls help me with my question roo

The graph of g(x) is g(x) = [tex]3^{x-6}[/tex]

A translation is a rigid transformation because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.

Given that, graph of g(x) is the result of translating the graph of f(x) = 3ˣ, 6 units to the right.

Translation the graph of the function y = f(x) a units to the right gives the function y = f(x-a)

So, here, f(x) = 3ˣ will be transformed to g(x) = [tex]3^{x-6}[/tex]

Hence, the graph of g(x) is g(x) = [tex]3^{x-6}[/tex]

Learn more about translation, click;

https://brainly.com/question/12463306

#SPJ5

Answer:

To do that you must divide 4 by 100

Step-by-step explanation:

4 divided by 100 is 0.04

Answer:

4/100

Run two decimal places forward

that's

0.04

Hope this helps you

Answer:

Step-by-step explanation:

Let the ten friends represents the 10 letters ABCDEFGHIJ. If they must be divided into three teams with three people in each team and one field judge, the arrangement will become (ABC)(DEF)(GHI)J

This shows that ABC, DEF and GHI are the three teams and J is the chief judge. Since each groups are now a team, we can represent everyone in each teams with the same letter except the judge as shown;

(AAA)(BBB)(CCC)J where J is the judge

Since there are 10 friends in all and there are A, B and C are repeated three times, the arrangement can be done in the following way as shown;

[tex]\frac{10!}{3!3!3!1!}[/tex]

[tex]= \frac{10*9*8*7*6*5*4*3!}{3!*6*6*1}\\ = \frac{10*8*7*6*5}{1} \\= 16,800ways[/tex]

This shows that they can do it 16,800 number of ways

Answer:

[tex]-7[/tex]

Step-by-step explanation:

[tex]5(x+9) = 10[/tex]

[tex]5x+45=10[/tex]

[tex]5x = -35[/tex]

[tex]x=-7[/tex]

Hope this helps.

Answer:

-7

Step-by-step explanation:

5(x + 9) = 10

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

...and is your order of operation.

First, divide 5 from both sides:

(5(x + 9))/5 = (10)/5

x + 9 = 10/5

x + 9 = 2

Next, isolate the variable x, by subtracting 9 from both sides:

x + 9 (-9) = 2 (-9)

x = 2 - 9

x = -7

x = -7 is your answer.

~

Answer:

11.4

Step-by-step explanation:

Proportions.

AB/ED=BC/DF

x/3.8 = 15/5

x=11.4

Answer:

−0.0005 m/sec.

Step-by-step explanation:

Let us denote the volume of the can as V

let us denote the radius of the circular disc in lake as r

Let us denote the thickness of the circular disc as h

But we know the volume of the can as πr^2h then we can calculate How fast it is decreasing when the radius is 2 m

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

24

Step-by-step explanation:

PQ is equal to QR, therefore QR=3

Draw a perpendicular line down from R to line TS to form a triangle and since PT=6, the height of the right angle triangle would be 3.

The base of the right triangle would be 7-3=4. Using pytag. theorem [tex]\sqrt{4^{2}+3^2 }=5[/tex]

Therefore RS=5.

So now we can sum up everything: PQ+PT+TS+RS+QR= 3+6+7+5+3=24

Answer:

139.3 m²

Step-by-step explanation:

The figure is composed of a square and a semi circle.

area of square = 10² = 100 m²

area of semi circle = 0.5πr² = 0.5π × 5² = 0.5π × 25 = 12.5π ≈ 39.3 m²

Total area = 100 + 39.3 = 139.3 m²

Answer:

You first need to convert everything to minutes:

12 noon = 12 x 60 = 720 minutes

9 am = 9 x 60 = 540 minutes

Let x = number of minutes before noon

The time now is 12 noon -x = 720 -x minutes

48 minutes ago it was 720-x-48

720 -x - 48 = 540 + 2x

720-48-540 = 3x

x = 44 minutes

It is 44 minutes before noon, or 11:16 am

Answer:

9:00 am -------------------- 12:00pm ( There are 180 minutes between them)

Go 48 minutes back (132 Minutes between them)

That time is divided by 2

(4x minutes past 9:00 and x minutes left to reach 12:00)

132/3 = 44 minutes are left

Answer:

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Step-by-step explanation:

Given;

Initial position y1= 80 ft below the surface of water = -80ft

Final Position y2 = 15 ft above the surface = +15ft

The vertical distance travelled by the shark is;

∆y = y2 - y1 = 15 - (-80) ft

∆y = 15 +80 ft

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Answer: choice B

Step-by-step explanation:

just took the quiz

omm its B. G(x)=(x+8)^2

just took the test

Answer:

The first option: -5/4x + 1/6.

Step-by-step explanation:

(3/4x - 2/3) - (-5/6 + 2x)

= (3/4x - 2/3) + 5/6 - 2x

= 3/4x - 2x - 2/3 + 5/6

= 3/4x - 8/4x - 4/6 + 5/6

= -5/4x + 1/6

So, the first option: -5/4x + 1/6.

Hope this helps!

Answer:

i.) (-0.25, 0), (1.25, 0)

ii.) (0.5, 2), (1.5, 2)

Step-by-step explanation:

For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.

For ii, it is asking for the x-values when y = 2.

Answer:

3/4

Step-by-step explanation:

To answer this question we must first calculate the area of GHJK:

Answer:

x^2+2x-15

Step-by-step explanation:

x^2+5x-3x-15

=x^2+2x-15

Answer:

x² + 2x -15

Step-by-step explanation:

by using FOIL method (see attached for reference),

(x-3)(x+5)

= (x)(x) + (x)(5) + (-3)(x) + (-3)(5)

= x² + 5x - 3x -15

= x² + 2x -15

Answer:

A

Step-by-step explanation:

Answer:

[tex]3x - 22 = \frac{x}{4} [/tex]

When twenty two is subtracted from a number multiplied by three the result is the same as the number divided by 4.

Hope this helps you

Answer:

here is the answer

Step-by-step explanation:

statement- the result obtained when 22 is subtracted from 3 times of a number is one-fourth of the number.

situation- rahul sees the price of a toy he wants to buy. after two years he comes to the shop again to buy the product. he notices that the price has become thrice the original. the shopkeeper agrees to reduce an amount of 22 rupees and he pays one fourth of the original price to the shopkeeper and buys the producet. find the original price of the toy.

Answer:

x = 33/5

Step-by-step explanation:

4x+x-15+3-8=13

Combine like terms

5x -20 = 13

Add 20 to each side

5x-20+20 = 13+20

5x =33

Divide by 5

5x/5 = 33/5

x = 33/5

Answer:45 I think

Step-by-step explanation:

Answer:

See attached table

Step-by-step explanation:

Given base b,

the required formulas are:

Area of base = b^2

height: solve for h in 2b^2+4*bh = S =54

where S is the surface of 54

Substitute and solve for h,

h =  (S - 2b^2)/(4b) = (54-2b^2)/(4b) = (27-b^2)/(2b)

The volume is equal to base area times height, or

V = b^2(h)

The completed table is attached.

Answer:  a=4, b=16, c=12

Step-by-step explanation:

Use the intercept form: a(x - p)(x - q)  where p & q are the intercepts.

Given: p = -3, q = -1, and y-intercept (c) = 12

 a[x - (-3)][x - (-1)]

= a(x + 3)(x + 1)

= a(x² + 4x + 3)

= ax² + 4ax + 3a

y-intercept = 12

     3a = 12

       a = 4

   Substitute a = 4

    4x² + 4(4)x + 3(4)

=   4x² + 16x + 12

Answer:

3.5 m

Step-by-step explanation:

Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.

Length of ladder = the hypothenuse = 13.5 m

Thus, we would use:

Cos75 = adjacent/hypothenuse

Cos 75 = d/13.5

Multiply both sides by 13.5

13.5*cos(75) = d

13.5*0.2588 = d

3.4938 = d

d ≈ 3.5 m (nearest tenth)

Answer:

[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]

Step-by-step explanation:

The lengths of the sides of the scalene triangle are 6, 11, and 12.

We want to use the law of cosines to find the largest angle.

Note that the largest angle is always opposite the largest side.

Therefore:

[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]

The largest angle is 84 degrees to the nearest angle.

Answer:

Length of A=6

Breadth of A=24/6=4

Length of B=6

Breadth of B=12/6=2

Step-by-step explanation:

Total surface area: 36

Ratio is 2:1

So, 2x + 1x = 36

3x=36

x=36/3

x=12

2*12=24

1*12=12

So areas are 24 and 12 respectively

Now, we can say that the sides of the square will be same, 6 cm

6*6=36

so the length of both rectangles will be 6

Hence we can divide each area by 6 and find the breadth.

Length of A=6

Breadth of A=24/6=4

Length of B=6

Breadth of B=12/6=2

Stay safe and stay cool

Hope it helps you.

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Answer:

There are no choices, but [tex]\frac{10}{10.75}[/tex] can be changes in the following ways: multiplying the numerator and the denominator by the same amount, or dividing the numerator and denominator by the same amount.

Hope it helps <3

Answer:

40/43

Step-by-step explanation:

  The fraction

       10

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

   10 3/4

can be simplified by converting 10 3/4 to the improper fraction 43/4:

       10                    10            40

-----------------  =  _______ = ----------

   10 3/4               43/4            43

Next time, please share any answer choices that are given to you.  Thank you.