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?
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.
Among 690 adults selected randomly from among the residents of one town, 23.5% said that they favor stronger gun-control laws. Group of answer choices 162 161 163 160
Answer:
It would be 162
Step-by-step explanation:
690 x 0.235 = 162.15 which rounds to 162
A student would like to estimate the height of a statue. The length of the statue's right arm is 51 feet. The student's right arm is 2 feet long and her height is 5
1
3 feet. Use this information to estimate the height of the statue. How close is the approximate height to the statue's actual height of 135 feet, 3 inches from heel to top of head?
I got a.
13 feet
b. What is the difference between the appoximate height of the statue and its actual height?
Answer:
FEET
Step-by-step explanation:
Identify the sampling designs that use voluntary response sampling. Check all that apply.
Mrs. O’Neill asks all her seventh-period students about their study habits.
Each customer of a fitness club is interviewed about their health as they exit.
An online poll about voter opinion of political issues is posted on social media.
A student organization interviews students in the drama club about the spring play.
A doctor’s office sends email surveys to all its patients.
A department store includes a link to an online survey on customers’ receipts.
Answer: C, E, F
Step-by-step explanation:Got it right
Find the Value of x
Please answer!!
No links!!
Answer:
x = 15 inches
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]
HELP!!!! PLEASE URGENT!!! IM BEING TIMED!!! thank you
23 in. The perimeter of this quadrilateral is 100 in. What is the length of the side not given? 27 In. 32 in.
Answer:
Solution:
The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.
Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm.
Therefore, perimeter of quadrilateral = 5 cm + 7 cm + 9 cm + 11 cm
= 32 cm
5.) I somehow got $50 to buy hair dye, so I got 4 bottles of hair dye I had 5 dollars left, how
much was the hair dye?
Answer:
10
Step-by-step explanation:
is the answer
mark me as brainlestAnswer:
The hair dye was $11.25
Step-by-step explanation:
4x+5=50
4x=45
x=11.25
If there are 6 $5 bills how many 10$bills are there?
Answer:
3
Step-by-step explanation:
6*5=30
30/10=3
Answer:
3
Step-by-step explanation:
6 * 5 = 30
Then, 30 / 10 = 3
Part A 4.59 is 3.4% of what number ?
Part B 98% of 66 is what number ?
Part c what number is 36% of 142 ?
Janice is a travel agent. She receives a 7% commission based on the value of the trips she
books. Today she spent 5 hours arranging a $6,300 cruise for a couple.
Based on her commission percentage, Janice was able to earn $441 in commission which translates to $88.20 per hour
The commission that Janice earned is found by:
= Commission percentage x Value of trip booked
= 7% x 6,300
= $441
The amount she earned per hour is therefore:
= Commission earned / Number of hours worked
= 441 / 5
= $88.20
In conclusion, Janice earned $441 in commission and earned $88.20 per hour.
Find out more at https://brainly.com/question/14473634.
The rest of the question is:
a. How much commission did she earn?
b. What was her mean hourly pay for the work she did?
George is baking a cake using 1/3 cups of milk for every 3/4 cups of flour. How much flour should he use if he has 2 cups of milk?
Answer:
4 and 1/2 cups of flour
Step-by-step explanation:
First, you need to divide 2 by 1/3, which will give you 6. Then multiply 6 by 3/4, which gives you 4 1/2. Hope this helped!
The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite
9514 1404 393
Answer:
one solution; (x, y) = (4/3, 11/3)
Step-by-step explanation:
The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.
__
The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.
Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.
solve pls brainliest
Step-by-step explanation:
a))) -31-71=-102
b)-9+14=+5
Hi there!
»»————- ★ ————-««
I believe your answer is:
A. - 31 - 71 = - 102
B. - 9 + 14 = 5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.
B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
OMG I NEED HELP BADLY RN
In which quadrant does the point (-2 , -2) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answer:
D) Quadrant 3
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
D.
Quadrant III
Step-by-step explanation:
Quadrant III= Both co-ordinates negative.
The mean of a soccer team goals is 6 goals after 4 games. If the team scored 5 goals in the first game, 6 goals in the second game and 6 goals in the third game, how many goals did they score at the 4th game?
=====================================================
Work Shown:
We have this set of data
[tex]\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}[/tex]
where x is some positive whole number. Add up everything in the second column:
5+6+6+x = x+17
This represents the total number of goals made over the four games.
Divide this over the number of games played (4) and set that equal to the mean of 6. Solve for x.
(x+17)/4 = 6
x+17 = 4*6
x+17 = 24
x = 24-17
x = 7
7 goals were scored in the fourth game.
Can someone help me please ?
Answer:
I don't know the answer sorry luv but ur pfp is cute
-xoxo
if sin2x,1,cos2x are in gp ,then x =
Answer:
Man I can't express how much joy I have rn. thanks man!
what is 10/8 divided by 1/4
Answer:
5
Step-by-step explanation:
i think the answer is 5
please please help me
solve pls brainliest
Solve what
I think ym forgot to add the question or sth
ℎ(?=4?Ȓ12 ?ћ???=?Ď(?−18
Answer:
4
Step-by-step explanation:
just trust me
Contains (5,8) and is parallel to the graph of 2x + 3y = 9.
Answer:
[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]
Step-by-step explanation:
We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:
[tex]\displaystyle 2x + 3y = 9[/tex]
Recall that parallel lines have equal slopes.
Find the slope of the given graph by rewriting it in slope-intercept form:
[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]
Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.
Since we now have a slope and a point, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]
Substitution yields:
[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]
We can simplify this into slope-intercept form:
[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]
Or, into standard form:
[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]
convert 35cm to metres
Answer:
35cm is 0.35 metres.
Hope this helps!
What do I do?
Backstory)) Today as I was waking to lunch with a few people that were my so called friends, they are in the dance team and they wanted to go and help sell tickets there was one small table to sell tickets. But the thing is that there is only room for about 4 people on that table but they fit 7 which logically I think we all know that 7 people don’t need to sell tickets, only if 2 people actually bought tickets
So as we entered the cafeteria I followed them (I am not on the dance team) they went to that very table then I asked the obvious question where should I sit? Cause there want room for me. Then one of my friends pointed at an empty table and told me to sit there. I sit there the whole lunch eating only a few. I am stressed when nobody is next to me eating which causes me to eat less. Cause I feel everyone is staring at me. So I act like I am fine. Then after that we had some free time. I went to the bathroom the whole free time to just cry. But the thing is as the free time started they didn’t come and get me they just walked off so that’s why I went to the restroom and stayed in there for a little till the bell rang.
So what should I do they are going to do the same thing tomorrow and I am getting stressed cause I have no other friends to sit with.
Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)
the calories in a breakfast sandwich come from three sources: 144 calories are from carbohydrates 108 calories are from fat and 56 calories are from protein use properties of addition to find the total number of calories in the sandwich
Answer:
308
Step-by-step explanation:
144+108+56=308
1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?
PLEASE HELP WITH THIS ONE QUESTION
Answer:
dont know
Step-by-step explanation:
sorry
Use the number line to find the difference of 3 - (-1.5)
your answer is 4.5 you're welcome :-)
Answer:4.5
Step-by-step explanation:
the rule is
positive - negative changes to positive + positive so
3- (-1.5) changes to 3 + 1.5 which equals 4.5
Divide x4+2x2−24
by x+2
[tex]\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }[/tex]
[tex]\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}[/tex]