In comparing different job opportunities, you found that firm A will start your salary at
RM25000 per year and guarantee you a raise of RM1200 each year while firm B will start
your salary at RM28000 per year but will guarantee you a raise of RM900 each year.
(a) In what year of service the yearly salary from both firm will be the same?
(b) In what year of service the total salary from both firm will be the same?
(c) Hence, state the firm for which you should choose if you plan to work for 25 years.
​

Answer:

y = 14

Step-by-step explanation:

Given x plug in 3 for x

y = (2times3) + 8

y = 6 + 8

to cheak ur awsner plug in y as 18 and solve for x

Answer:

x=3 so y=2*3+8

=6+8

=14

Answer:

22

Step-by-step explanation:

Answer:

22/1

Step-by-step explanation:

Answer:

B. 33.4

Step-by-step explanation:

77 - 43.6 = 33.4

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

Answer:

Do you have a picture of the problem/graph?

Step-by-step explanation:

Only then, can i provide an acurate answer!

pls & thx

Answer:

ion know

Step-by-step explanation:

Answer: [tex]f^{-1}(x)=\sqrt{x+49}[/tex]

Step-by-step explanation:

To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.

y=x²-49                            [switch x with y and y with x]

x=y²-49                            [add both sides by 49]

x+49=y²                           [square root both sides]

[tex]y=\sqrt{x+49}[/tex]

Now, we know that [tex]f^{-1}(x)=\sqrt{x+49}[/tex].

Answer:

Step-by-step explanation:

6

Answer:

Step-by-step explanation:

I - 18I = 18

I - xI = x    

Answer:

positive 18

Step-by-step explanation:

The absolute value of any number is just how far that number is from 0 on a number line

here are a few examples

|-23| = 23

|47| = 47

|-11| = 11

As you can see, in all 3 examples all numbers are positive.

To make it easier to understand, the absolute value of any numer is that number, but positive. Absolute values will always be positive no matter what.

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Answer:

a. 90

b. 44.55

C. 134.55

D. 22.42

Step-by-step explanation:

A. 6*15 = 90

B. 15 % of 1188 is 178.2, and 178.2 divided by 4 (0.25%) is 44.55

C 90 + 44.55 = 134.55

d. 134.55 divided by 6 hours worked is 22.42

a. The earning should be 90.

b. The money that should be made is 44.55.

c. The total salary for the day is 134.55

d. The Manuel average earnings per hour, including tips is 22.42

a.

The earnings should be

= 6(15)

= 90

b. The money made should be

The 15% of 1188 should be 178.2

Now we have to divide the 178.3 from 4 so it comes 44.55.

c. The total salary should be

= 90 + 44.55

= 134.55

d. The average earnings per hour should be

Here  134.55 divided by 6 hours = 22.42

Learn more about earnings here: https://brainly.com/question/24512296

Answer:

Step-by-step explanation:

[tex]\frac{-4 - i}{2 + 3i} * \frac{2 - 3i}{2 - 3i} = \frac{-8 + 12i - 2i + (3i)^{2} }{4 - 3i^{2} } = \frac{-11 - 10i}{4 + 9}= \frac{-11 - 10i}{13}[/tex]

the answer is b

Answer:

Step-by-step explanation:

Average=total distance/totaltime

=60+110+180+220/1+2+3+4

=570/10

=57miles/hour

Answer:

160in^2

Step-by-step explanation:

Pls choose mine as brainliest.

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

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

Using distance formula, we get

[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]

[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]

[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]

[tex]JK=\sqrt{4+9}[/tex]

[tex]JK=\sqrt{13}[/tex]

Similarly,

[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]

[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]

[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]

Now, perimeter P of ▱JKLM is

[tex]P=JK+KL+LM+JM[/tex]

[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]

[tex]P=2\sqrt{13}+12[/tex]

[tex]P=2(3.61)+12[/tex]

[tex]P=7.22+12[/tex]

[tex]P=19.22[/tex]

[tex]P\approx 19.2[/tex]

Therefore, the perimeter P of ▱JKLM is 19.2 units.

Answer:

Permutation

Step-by-step explanation:

The term to describe the given statement is permutation.

When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.

Take for instance:

The arrangement of 3 boys on a seat

Ways 4 friends can sit to take photographs

...are examples of permutation

Permutation of r objects in n distinct objects is calculated as:

[tex]^nP_r = \frac{n!}{(n -r)!}[/tex]

Answer:

4 × 5 + 7

Step-by-step explanation:

I did the math.

.....

Answer:

Expression: 20 + 28, Answer: 48

Step-by-step explanation:

Distributive Property

4 * 5 + 4* 7

Expression: 20 + 28

Answer: 48

Answer: 512/9 and 6,144/81

Step-by-step explanation:

The sequence is:

18, 24, 32, 128/3, ...

Now, is easy to see that it is not an arithmetic sequence, so we can jump to see if this is a geometric sequence.

To see this, we must see at the quotient of two consecutive numbers in the sequence, and that quotient must be the same for any pair of consecutive elements.

24/18 = 1.33...

32/24 = 1.33...

(128/3)/32 = 1.33....

The quotient is constant, then this is a geometric sequence.

Then we can write the n-th term as:

Aₙ = Aₙ₋₁*1.33...

And we first should write 1.33 in a way that is easier to use:

1.33... = 1 + 0.33...

The left side can be writen as:

0.33... = 0.33...*(10/10) = (3.3.../10)

Now we can subtract the initial number:

(3.33..../10) - 0.33... = 3/10 = 0.33...*(9/10)

0.33... = (3*10)/(9*10) = 30/90 = 3/9

then we have:

1.33... = (1 + 3/9) = (9/9 + 3/9) = (12/9)

Then the two next terms are:

(128/3)*(12/9) = 128*4/9 = (512/9)

And the next term is:

(512/9)*(12/9) = (6,144/81)

Then the first six terms are:

18, 24, 32, 128/3, 512/9, 6,144/81

Answer:

30:1

Step-by-step explanation:

90:3

90÷3=30

3÷3=1

=30:1

Answer:

122620.6908

Step-by-step explanation:

Just follow PEMDAS and it's not hard at all.

Answer:

Step-by-step explanation:

Answer:

1) Variables = 11a , 4a

  Constants = 0

  Coefficients = 11 , 4

2) Variables =  3x , 7x

   Constants = 6 , -4

   Coefficients = 3 , 7 , 6 , -4

3) Variables = -12m , +4m

   Constants = -3 , 16

   Coefficients = -12 , 4 , -3 , 16

4) Variables = 6k , k

   Constants = -4 , -2

   Coefficients = 6 , 1 , -4 , -2

5) Variables = -5p , -2p

   Constants = 3 , 13

   Coefficients = -5 , -2 , 3 , 13

6) Variables = -10r , -r , -6r

   Constants = 11

   Coefficients = -10 , -1 , -6 , 11

7) Variables = -5n

   Constants = 19 , -8 , 14

   Coefficients = -5 , 19 , -8 , 14

8) Variables = 13y , -2y

   Constants = 18 , -5

   Coefficients = 13 , -2 , 18 , -5

9) Variables = 8a , 3a , -7b , -2b

   Constants = 1

   Coefficients = 8 , 3 , -7 , -2 , 1

10) Variables = 11x , 2x , -4y

   Constants = 8

   Coefficients = 11 , 2 , -4 , 8

Step-by-step explanation:

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

[tex]y=ab^x[/tex]

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

Only [tex]y=10(0.13)^x[/tex] represents exponential decay.

Therefore, the correct option is C.

Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

Answer:727.2

Step-by-step explanation:40.4x18=727.2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {8u}^{18}}}}}} [/tex]

Step-by-step explanation:

Using the power to power law of indices

i.e When an algebraic term in the index form is raised to another index , the base is raised to the product of two indices.

Now, Let's simplify

[tex] \star \: \sf{({8u}^{9})^{2} }[/tex]

[tex] \dashrightarrow{ \sf{(8 {u})^{9 \times 2}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {8u}^{18}}}} [/tex]

Hope I helped!

Best regards! :D

Answer:

I think it would be angles A and B.

Hope this helps!

Answer:

Step-by-step explanation:

quadratic trinomial, because the highest degree of x is 2 and the expression has 3 terms.

Answer:

22*3=66

Flase

Step-by-step explanation:

The equation ((22)3) = 25 is false.

Two or more expressions with an Equal sign is called as Equation.

The given equation is  ((22)3) = 25.

We have to check whether the left hand side is equal to right hand side.

If the LHS and RHS are equal then the equation is true.

If not then it is false.

The value in LHS is 22×3 = 66

The value in RHS is 25

66 is not equal to 25

Hence, the equation ((22)3) = 25 is a false statement.

To learn more on Equation:

https://brainly.com/question/10413253

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