Lillian has a defined benefit plan that promises an annual retirement benefit based on 2% of her final 3-year average annual salary for each year of service. At retirement, Lillian has 15 years of service and had an average salary of $80,000 over the last 3 years. What is the amount of her annual benefit?
Answer:
the amount of her annual benefit is $24,000
Step-by-step explanation:
The computation of the amount of her annual benefit is as follows:
= Given percentage × average salary × number of years of service
= 2% × $80,000 × 15 years
= $24,000
Hence, the amount of her annual benefit is $24,000
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Based on the information given the amount of her annual benefit is $24,000.
Using this formula
Annual benefit= Annual retirement benefit percentage × Average salary × Years of service
Where:
Annual retirement benefit percentage=2% or 0.02
Average salary=$80,000
Years of service=15 years
Let plug in the formula
Annual benefit= 0.02 × $80,000 × 15 years
Annual benefit=$24,000
Inconclusion the amount of her annual benefit is $24,000.
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What is the fifth term in the sequence 17.3, 34.3, 51.3, 68.3...?
A 77.7
B 85
C 85.3
D 89.7
The fifth term in the sequence would be C.
If t= 9m,what is the area of the triangle
Help
Answer: the answer
we use the formula 1/2 .b .h
Step-by-step explanation:
the answer is 1,134, we substitute the t to 9 for each number, for example 4(9) 7(9)
4(9)= 36
7(9)=63
now we find the half of our bottom number which is 4=36
1/2 36= 18
so now we have 18x63=1,134
so our answer is 1,134
The area of the triangle is 1134 m²
What is the area of Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
Given data ,
The value of t = 9 m
Let the base of the triangle be b = 4t
= 4 x 9
= 36 m
Let the height of the triangle be h = 7t
= 7 x 9
= 63 m
Now , the area of the triangle = ( 1/2 ) x Length x Base
So , substituting the values , we get
Area of the Triangle = ( 1/2 ) x 36 x 63
= 18 x 63 m²
= 1134 m²
Therefore , the area is 1134 m²
Hence , the area of the triangle is 1134 m²
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terms and like terms in the expression 4a−9+3a.
Examples to help:
2a + 4 (Unlike terms cannot be simplified)
4a + 3b (Unlike terms cannot be simplified)
6a – 3a = 3a
8b – 8b = 0
5a – 3 (Unlike terms cannot be simplified)
6a – 4b (Unlike terms cannot be simplified)
These are not the awnsers they are just examples
There are 7 flavors of ice cream available at an ice cream shop. This shop also has 2 different kinds of cones (waffle and plain). How many different combinations of 1 cone and 1 flavor of ice cream can you have?
Answer:
14 combinations.
Step-by-step explanation:
If there are 7 different flavors and two types of cones, just mutiply each value. 7*2=14. Boom.
A ladder is 8 meters long. It leans against a wall with one end on the ground, 6 meters from the wall. The other end reaches a windowsill. Calculate the height of the window sill above the ground.
Answer:
[tex]\sqrt{28[/tex]
Step-by-step explanation:
a^2 + b^2 = c^2.
if you draw out the triangle, you can substitute numbers into an equation.
6^2 + b^2 = 8^2
36 + b^2 = 64
b^2 = 64 - 36
b^2 = 28
b = [tex]\sqrt{28}[/tex]
Identify the range of the function.
A) (-4,4)
B) [-4, 4]
C) (-4,4]
D) (-4,4)
Answer:
C) (-4, 4]
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
From the graph we see that our y-values span from -4 to 4. When y = -4, it is a open dot, meaning it is exclusive. When y = 4, it is a closed dot, meaning it is inclusive. Therefore, our range is:
(-4, 4] or -4 < y ≤ 4
Answer:
-4,4
Step-by-step explanation:
Does the following equation have one solution, infinite solutions, or no solutions? 9 (x+11) = 9x +3
divide second equation by -3
3x+2y=1
other equatin is
3x+2y=1
since same equation, they are same line and lines are infinite so infinite solutions is answe
Answer:
No solution
Step-by-step explanation:
PEMDAS = distribute first.
9x+99=9x+3
Subtract 9x from both sides
99=3
Impossible so no solution.
Hope this helps you!
#Team Rainbows
After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the bucket to start?
Answer:
8 liters
Step-by-step explanation:
because after pouring 2 liters bucket was full so we wiil minus 2 from 10
Answer:
8 + x = 10
x. = 10 - 8
x. = 2 liters
As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km
Answer:
104.607 Kilometers
Step-by-step explanation:
Can anyone help me with this
Answer:
The first subscription ($29.88 for 12 issues. A .5 cent difference.
Step-by-step explanation:
29.88/12 = $2.49
15.24/6 = $2.54
The first subscription is cheaper.
Learning Task 1: Graph each pair of linear equations in one coordinate plane.
1. y = 2x + 2 and 2y = 4x + 4
2. Y= x-5 and y = -x + 3
3. Y = 2x-3 and y = 2x + 4
Answer:
We kindly invite you to see the explanation and images attached below.
Step-by-step explanation:
From Geometry we know that every line can be formed by knowing two two distinct points in a plane. Our stategy consist in using two distinct points for each linear equation in order to create our plot.
1) [tex]y = 2\cdot x + 2[/tex], [tex]A(x,y) = (0, 2)[/tex] and [tex]B(x,y) = (1,4)[/tex].
The line [tex]2\cdot y = 4\cdot x + 4[/tex] is a multiple of [tex]y = 2\cdot x + 2[/tex]. We present the graph below.
2) [tex]y = x-5[/tex], [tex]A(x,y) = (0,-5)[/tex] and [tex]B(x,y) =(1,-4)[/tex].
[tex]y = -x+3[/tex], [tex]C(x,y) = (0, 3)[/tex] and [tex]D(x,y) = (1,2)[/tex].
Finally, we proceed to plot each line and present the results below.
3) [tex]y = 2\cdot x-3[/tex], [tex]A(x,y) = (0,-3)[/tex] and [tex]B(x,y) = (1, -1)[/tex].
[tex]y = 2\cdot x + 4[/tex], [tex]C(x,y) = (0,4)[/tex] and [tex]D(x,y) = (1,6)[/tex].
Finally, we proceed to plot each line and present the results below.
How do I solve for x
Answer:
1. x = 3
2. x = 8
3. x = 5
4. x = 8
Step-by-step explanation:
1. 18 = 6x
divide both sides by 6
x = 3
2. x + 7= 15
subtract 7 from both sides
x = 8
3. 2x - 2 = 8
add 2 to both sides
2x = 10
divide 10 by 2
x = 5
4. -1 + x = 7
add 1 to both sides
x = 8
Apparently, I'm putting in a phrase that hurts Brainly's feelings. So I'm gonna put in a picture instead : )
Answer:
11
Step-by-step explanation:
Because you put the four into the equation like this: f(x)= 2(4)+3
And 2 times 4 equals 8
And 8 plus 3 equals 11
Have a great day!
Tyrone's plumbing company charges $40 for a service call and $25 per hour.
Ezekiel's plumbing company charges $65 for a service call and $15 per hour.
Which equation can be used to find x, the number of hours it will take for both
plumbing company's cost to be the same.
O A. 25 + 40x - 15 + 65x
O B. 25x + 40 - 15 + 65x
O C. 25x +40 - 15x + 65
O D. 25 + 40x - 15x + 65
Answer:
C
Step-by-step explanation:
it is the only one with the variable in the spot of the per an hour which is what the equation is supposed to represent
PLSSSS HELPPP ME SOMEBODY WITH THESE MATH QUESTIONS!!!!!!!!! OR AT LEAST TRYYYYYYYYYYY. REWARD BRAINLIESTTTTT
Answer:
i would help but i am very bad at math
Step-by-step explanation:
i’m at sorry
If x = 27 and y = 70, what is y when x = 6?
Answer: 18
Step-by-step explanation:
PLS HELP I WILL GET MY AS$ beAt
Section 1: Selected Response - Question 2
Which equation or equations are true?
1.) 3/10 + 15/100 = 18/100
2.) 4/10 + 32/100 = 72/100
3.) 7/10 + 2/100 = 27/100
4.) 6/10 + 27/100 = 87/100
A
Equation 1 only
B
Equation 2 only
C
Equations 3 and 4 only
D
Equations 2 and 4 only
Answer:
good luck bro lol
Step-by-step explanation:
Answer:
2. is right i think
4. is true i think hope this helps!
Step-by-step explanation:
i think
I don’t really understand someone help me pls
Answer:
i thing maybe is A or C
Step-by-step explanation:
Can you solve it?
find h. (system of equations)
The school that Anthony goes to is selling tickets for a choir concert. On the first day of ticket sales his school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. What is the price of a senior citizen ticket?
Answer:
A senior citizen costs $8
Step-by-step explanation:
Represent senior citizens with S and children with C.
The first day is represented as:
[tex]3S + C = 38[/tex]
The second day is represented as:
[tex]3S + 2C = 52[/tex]
Required
Solve for C and S
Make C the subject in the first equation
[tex]C = 38 - 3S[/tex]
Substitute 38 - 3S for C in the second equation
[tex]3S + 2(38 - 3S) = 52[/tex]
[tex]3S + 76 - 6S = 52[/tex]
Collect Like Terms
[tex]3S - 6S = 52 - 76[/tex]
[tex]- 3S = -24[/tex]
Divide through by -3
[tex]S = 8[/tex]
Recall that: [tex]C = 38 - 3S[/tex]
[tex]C = 38 - 3 * 8[/tex]
[tex]C = 38 - 24[/tex]
[tex]C = 14[/tex]
Hence, a senior citizen costs $8
-5/6 divide by 9/10 HELP ASAP
Answer:
-0.00925925926
Step-by-step explanation:
calculator lol
Answer:
-4/3
Step-by-step explanation:
-5/6:9/10=-5/6 x 10/9= - 12/9=-4/3
Will mark brainliest for whoever answers
Answer:
the third one
Step-by-step explanation:
Laying in the silence
Waiting for the sirens
Signs, any signs I'm alive still
I don't wanna lose it
I'm not getting through this
Hey, should I pray? should I pray
To myself? To a God?
To a saviour who can
Unbreak the broken
Unsay these spoken words
Find hope in the hopeless
Pull me out of the train wreck
Unburn the ashes
Unchain the reactions, I'm not ready to die, not yet
Pull me out of the train wreck
Pull me out, pull me out, pull me out
Pull me out, pull me out
Underneath our bad blood
We still got a sanctum, home
Still a home, still a home here
It's not too late to build it back
'Cause a one-in-a-million chance
Is still a chance, still a chance
And I would take those odds
Unbreak the broken
Unsay these spoken words
Find hope in the hopeless
Pull me out of the train wreck
Unburn the ashes
Unchain the reactions, I'm not ready to die, not yet
Pull me out the train wreck
Pull me out, pull me out, pull me out
Pull me out, pull me out, pull me out
You can say what you like 'cause see, I would die for you
I, I'm down on my knees and I need you to be my God
Be my help, be a savior who can
Unbreak the broken
Unsay these reckless words (find hope in the hopeless)
Pull me out of the train wreck
Unburn the ashes
Unchain the reactions, I'm not ready to die, not yet
Pull me out of the train wreck
Pull me out, pull me out, pull me out
Pull me out, pull me out, pull me out
Answer: I think it is random sampling
Step-by-step explanation:
Triangle A(1, 1), B (4,4), C (6,2) is a:
Answer:
Step-by-step explanation:
Right triangle
Someone help me!!!!!
Answer:
for this i will sue my best friend desmos
Step-by-step explanation:
if u need step by step u go down 5 and 2 is the same thing as [tex]\frac{2}{1}[/tex]. the formula i used was [tex]\frac{rise}{run}[/tex]. which means you would "rise" 2 and "run" 1.
hope this helps lol :)
HELP ASAP GIVING BRAINLIEST
Solve for x if the angles are adjacent supplementary angles. Use pencil and paper. Show how to check that your value of x is correct
Answer:
x=15
Step-by-step explanation:
srry if I'm wrong =(
Please help! Brainliest!
Also if you leave a dumb answer i WILL report you :)
Answer:
C
Step-by-step explanation:
It is C because I can plot all those points and they are still on the blue line. If you don't believe me, plug them in to y=-3/2x+2, (-4,8 plugged in would look like this 8=-3/2(-4)+2 just plug the x and y coordinates in) and they will be correct.
Hope this helps plz hit the crown:D
Answer:
B
X can be any real number, there are a lot of solutions for y = -3/2x+2 so the answer is not C or D
for a given x,y can only be y=-3/2*x+2 not any value y so the answer is not A
Since for a given x,y can only be y=-3/2*x+2 the solutions will be ~x,y = -3/2*x+2) or ~x, -3/2*x+2~ for all real numbers
Hope I helped
Which steps show how to use the distributive property to evaluate 9.67? O A. 9(67) = 9(70 – 3) = 9.70 +9.3 = 630 + 27 = 657
B. 9(67) = 9(70 – 3) = 9.70 – 3 = 630 – 3 = 627
C. 9(67) = 9(70 – 3) = 9.70 – 70 - 3 = 630 – 210 = 420 O
D. 9(67) = 9(70 – 3) = 9.70 – 9.3 = 630 - 27 = 603 SUBMIT PREVIOUS
Answer:
Never mind its D :)
A.P.E.X
Step-by-step explanation:
If two bumper cars traveling at the same speed and carrying the same amount of weight run into each other, they will bounce off and move an equal distance away from each other.
Your Answer:
yes they will do that.
A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.
How many meters of ribbon did the club buy?
What is the total cost if the ribbon sells for $2 per meter?
Answer:
A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.
How many meters of ribbon did the club buy?
What is the total cost if the ribbon sells for $2 per meter?
Step-by-step explanation: