According to the new remuneration scheme, the starting pay of a lecturer a is RM3,087 per month and the annual increment is RM195. Ahmad, who is 25 years old, becomes a lecturer in a university. (a) What will his monthly salary be when he is 45 years old? (b) What will his age be when he gets a monthly payment of RM8,937?​

Answers

Answer 1

Step-by-step explanation:

arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.

a1 = 3087 (that's our starting value)

a2 = a1 + 195

a3 = a2 + 195 = a1 + 2×195

an = a1 + (n-1)×195

a)

when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.

so, n = 1+20 = 21

a21 = a1 + 20×195 = 3087 + 20×195 = 6987

so, when he is 45 years old, his monthly salary will be RM6,987

b)

how many years (= how big is n) until he gets 8937 ?

8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =

= 3087 + n×195 - 195 = 2892 + n×195

6045 = n×195

n = 6045/195 = 31

so, a31 = 8937

and that means, he has to work 30 additional years (31 minus the starting level 1) to earn monthly RM8,937.

that means he will be 25+30 = 55 years old.


Related Questions

Sorry its blurry but please answer fast!!!!!

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Answer:

i know 14 and 15 are true but not sure about 12 sry

Step-by-step explanation:

which one is this a b c d e the thing on the side dosent matter

Answers

Answer:

21.5m²

Step-by-step explanation:

Area for a square: LxW = A

10x10=100m²

Area for a circle: pi r² = A

pi(5)²=78.5m²

Find the difference:

100m²-78.5m² = 21.5m²

What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
х
B
L
D
с
30
O A. 30.1
B. 6.5
C. 14
O D. 16

Answers

Answer:

D. 16

Step-by-step explanation:

In which quadrant does the point (3 , 19) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

A.

Quadrant I

Step-by-step explanation:

Quadrant I= Both co=ordinates positive.

I have more question just don't get it wronge

Answers

Answer:

Relfection over the x axis

Step-by-step explanation:

It is the name shape but flipped onto the other side, therefore it is a reflection

What is the value of k?

2k+9=7−3k


k=−2

k=−0.4

k = 2

k = 3.2

Answers

Answer:

k = -0.4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2k + 9 = 7 - 3k

Step 2: Solve for k

[Addition Property of Equality] Add 3k on both sides:                                  5k + 9 = 7[Subtraction Property of Equality] Subtract 9 on both sides:                        5k = -2[Division Property of Equality] Divide 5 on both sides:                                 k = -0.4

What is the value of x in the equation 3x-y = 30, when y = 15?

Answers

62663773828hfnmdmsmlap62sjdldleldlb

f

[tex]x=200[/tex]

Explanation:

Okay so we can start by substituting in [tex]y[/tex] as we know what it is already:

[tex](\frac{1}{5} )x-(\frac{2}{3} )(15)=30[/tex]

Now at this stage we could use a calculator to figure out what [tex]\frac{2}{3}[/tex] of [tex]15[/tex] are though a bit of mental math is as easy:

[tex](\frac{15}{3} )[/tex] · [tex]2=[/tex] [tex]5[/tex] · [tex]2[/tex]

okay so now we have:

[tex](\frac{1}{5} )x-10=30[/tex]  add 10 to both sides to get rid of the [tex]-10[/tex]

[tex](\frac{1}{5})x=40[/tex] let's get rid of that fraction by multiplying by [tex]5[/tex]

 and there's the solution for x

We can check we got this right by substituting it back into the original equation with the known y:

[tex](\frac{1}{5} )(200)-(\frac{2}{3})(15)=30[/tex]

now,  and we already know what out of is so :

that means

which is ✓

Therefore we know our solution is right.

What is 8 units to the left of (3, -7)

Answers

Answer:

(-5,4)

Step-by-step explanation:

The function
y = 3.5x + 2.8 represents the cost y (in dollars)
of a taxi ride of x miles,

a. Identify the independent and dependent variables

Answers

Independent variable: x
Dependent variable: y

Is it fair to give only 5 points for such a big question?​

Answers

Answer:

No

Step-by-step explanation:

Because you (or whoever asks) shouldn't give only 5 points to such a big question, because whoever answers the question might have worked really hard to answer it while you just gave them only 5 points...its not worth answering of only 5 points. In my opinion at least ‍♀️

Hope what I said makes sense :)

Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.

Answers

Answer:

Alonso can use 2.1 gigabytes while staying within his budget.

Step-by-step explanation:

53.50 + 3x = 59.80

3x = 59.80 - 53.50

3x = 6.3

x = 6.3 ÷ 3

x = 2.1

Alonso can use 2.1 gigabytes while staying within his budget.

Calvin works at a pizza place making pizzas. If he is working alone, he can make an average of 15 3/4 per hour. If he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour. How many pizzas can Calvin make in a 8- hour shift with Megan?

Explain the operations that will be needed to solve this problem, ans then solve it.

Answers

The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Answer: Calvin can make 122 pizzas overall if he is distracted

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Rate of pizzas made x number of hours = Total number of pizzas (15 3/4 - 1/2) x 8 = X (15.75 - 0.5) x 8 = X 15.25 x 8 = X 122 = X

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

Learn more in https://brainly.com/question/14963327

what is the value of p(x)=4x+15 ?

Answers

Answer:

The answer is 10x

Step-by-step explanation:

Please help I don’t understand it

Answers

The constant is 3.

This is because when x=1, y=3 and when x=2, y=6 so that is a constant change over each interval as seen in the graph which is 3 :)

What is the y-intercept of the line graphed on the grid?
A) -1
B) 2
C) -2
D) 1​

Answers

-2 is the y-intercept
Hope this helps:)

helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

(m÷3)+2in

Step-by-step explanation:

(m÷3) represents the division of Myron's height and 3

+2 is the extra 2 inches

Hope this helps! :)

13 12 28 candy bars and 42 packs of gum were put in gift bags. The same number of candy bars and the same number of packs of gum were put in each bag. What is the greatest number of gift bags that could be made? ​

Answers

Answer:

Step-by-step explanation:

(-8r^2s^-8)(-3r^-7s^8)

Answers

24r^−5s^0 would be your answer

Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope
intercept form

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Heheh the slope is 8

pls help me with this math

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Jdbdjdbdhsjsbdjdbdhdj

Tristan is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Tristan is riding for 9 miles? How much would a taxi ride cost that is mm miles long?

Answers

Answer:

$ 16.50

y = 1.50m + 3

Step-by-step explanation:

1.50(9) + 3 = $16.50

Which equation describes a line that passes through the points (0, -3)
and (2,7)?

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Answer:

y = 5x - 3

Step-by-step explanation:

Don’t answer on this or ur sus

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>:)

heheheheheheheherhehehehreh

Find the volume of the prism.
3 cm
37 cm
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The answer to your question is 45

7x - 3= -3 + 7x find x​

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I think x equals either 0 or 1 cause if you solved for x you would just end up with 0=0 so I think it would be x=0

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Answer: liquid= lotion capsule= solid suspension=semisolid

Step-by-step explanation:

Solve. −2x−35=87 Enter your answer in the box. x =

Answers

Hello there! I am Grace Rosalia (SilentNature), and I hope my answer will help you! :)

-2x-35=-87

-2x=-87+35

-2x=-52

Divide both sides by -2 to isolate x:

x=26

Hope this helps you! :)

~Just a joyful teen

[tex]SilentNature[/tex]

The solution of the given equation is x = -21.

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given equation can be solved as follows,

−2x − 35 = 87

=> -2x = -35 + 87

=> -2x = 42

=>  x = -42/2

       = -21

Hence, the value of x for the given equation is -21.

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https://brainly.com/question/11897796

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HELPP
subtract a from 9, double the result, then add 10 to what you have

Answers

Answer:

Step-by-step explanation:

9 - a = 9 -a

9 - a + 10 = 19 - a

Determine the equation of the line passing through the point below having the corresponding slope.
Point: ( -20, -34)
Slope: m =9/5
Write your answer as an equation in the form y=mx+b

Answers

Answer:

Step-by-step explanation:

-34 = (9/5)(-20) + b

b = -34 + 36 = 2

y = (9/5)x + 2

if 8 ^ x=2 sqrt 2 find the value of x.

Answers

Answer:

[tex]{ \rm{ {8}^{x} = \sqrt{2} }} \\ \\ { \rm{ {2}^{3x} = {2}^{ \frac{1}{2} } }} \\ \\ { \rm{3x = \frac{1}{2} }} \\ \\ { \rm{x = \frac{1}{6} }}[/tex]

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