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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HELP ILL GIVE YOU 50 POINGS
Answer:
D
Step-by-step explanation:
Break it into different shapes and find the areas. add the areas for the answer: D
9x4=36
9x20=180
9x2=18
36+180+18=234
Answer:
d
Step-by-step explanation:
((4*9)/2)+(4*9)+(9*20)
Help please! Write the equation for the line.
Answer:
y=x-3
Step-by-step explanation:
The slope goes up by 1 and the y intercept is -3
Are the two given triangles similar? Show your work to support your answer.
Helpppp please
Answer:
no
Step-by-step explanation:
1 is obtuse one is acute
Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?
Answer:
yes just fill up the 6 gallon jar up to the 4 galon mark
Step-by-step explanation:
Which expression is equivalent to 3^2 times 3^-5
Answer:
1/27 is the answer..... .......
Giving brainliest 10 points! Please help me with this question
Answer:
(0,-23)
Step-by-step explanation:
Can Someone please help me I don’t understand
Answer:
me either whats your question?
Step-by-step explanation:
Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please
Answer:
3/2 or 1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
X+2
F(x) +3
blank ÷ 3/7= 7/15.
Answer:
1 4/45
Step-by-step explanation:
(p-5)/(p+1)=2/3 what does p =
Answer:
17
Step-by-step explanation:
If ∠1≅∠2, then ___...
a) ∠5≅∠6, angle 5 is congruent to angle 6
b) ∠3≅∠4, angle 3 is congruent to angle 4
c) XK≅YK
d )GK≅HK
e)All of the above are true
Answer: All of thé above
Step-by-step explanation:
someone please help me. show your work for brainliest.
find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0
Answer:
Attached file
Step-by-step explanation:
Is the relation shown in the arrow diagram a function? Justify your answer.
Alternative text
Yes. The input 0.8 and 0.4 have only one output.
Yes. Each output has only one input.
No. Each input has only one output.
No. The input 1.2 has 2 outputs.
Answer:
No. The input 1.2 has 2 outputs.
Step-by-step explanation:
See attachment for complete question
The first circle represents the domain while the second represents the range of the function.
For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.
One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.
Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function
However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).
Hence, this does not represent a function.
Simplify the expression.
49^3/2
Answer:
i think its 58824.5
NEED HELP!!!
Is an equation that has 0 for a solution the same as an equation with no solution? Explain.
Answer:
No.
Step-by-step explanation:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.
HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?
A. (-2,0) and (-3,0)
B. (6,0) and (5,0)
C. (2,0) and (3,0)
D. (-6,0) and (-5,0)
Answer:
D
Step-by-step explanation:
yeah
45 points I will give BRAINLIEST! I give stars to! First place gets Brainlest, 5 stars, and a heart! Second place gets 4 stars and a heart! But it has to be right or you won't get anything.
Write the percent as a fraction in simplest form and as a decimal. 23.5%
The fraction is
The decimal is
Answer:
Fraction: 47/200
Decimal: 0.235
Step-by-step explanation:
Answer:
fraction is 47/200
decimal is 0.235
Step-by-step explanation:
sorry i forgot to add a couple numbers i was in a rush
Solve for w
-6=2w+6
Simplify your answer as much as possible.
what would be the answer to this question?
Answer:
w = -6
Step-by-step explanation:
2w + 6 = -6
-6 -6
2w = -12
÷2 ÷2
w = -6
Answer:
Step-by-step explanation:
w - 6 = 2w + 6
Subtract 6 from both sides
w - 12 = 2w
subtract 1w, or w, from both sides
-12 = w
#1- 2 is what percent of 16 #2- 15 is what percent of 80 #3- 38 is what percent of 200
Answer:
#1 . 12.5%
#2. 18.75%
#3. 19%
Step-by-step explanation:
2 / 16 x 100% = 12.5%
15 / 80 x 100% = 18.75
38 /200 x 100%= 19%
Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
SHOW YOUR WORK
IF YOU SHOW WORK YOU GET EXTRA POINTS
MUST SHOW WORK
--------------------------------------------------
goodluck
xoxo
Answer/Step-by-step explanation:
If the Diver started at 85 3/4 below sea level (-85 3/4 from sea level.) And he descends more you have to find the difference between two distances.
In order to get to -103 1/5, how much was subtracted from the original distance of -85 3/4. To solve this use an inverse operation. Find the absolute value of the new distance and add the original distance from sea level.
I -103 1/5 I + -85 3/4 = 103 1/5 - 85 3/4 = 17.45.
The distance from each value is I 17.45 I So, the diver descended another 17.45 meters from sea level.
If you have 4 pennies, 8 nickels, and 6 dimes, which represents the ratio of nickels to dimes.
Answer:
8:6 (have a good day)
Step-by-step explanation:
-28=-5x+7
Solve the two step equation
Answer:
x = 7
Step-by-step explanation:
-28=-5x+7
Add 28 and 5x to both sides
5x = 35
Divide both sides by 5
x = 7
Answer: x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
−28=−5x+7
Step 1: Flip the equation.
−5x+7=−28
Step 2: Subtract 7 from both sides.
−5x+7−7=−28−7
−5x=−35
Step 3: Divide both sides by -5
-5x/-5 = -35/-5
x=7
Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
a) Estimate the value of 50.75 x 0.18
Answer:9.135
Step-by-step explanation: I had have this answer
Answer:
9.135
Step-by-step explanation:
If you were to roll a die one time, what is the probability of it landing on an odd number
Answer:
It's one half.
Step-by-step explanation:
There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.
Please help!! answer choices and question below
Answer:
3 because 3 times 4 is 12 and 18 divided by 6 is 3
Step-by-step explanation:
What is the vertex of the graph of f(x) = |x – 13| + 11?
(–11, 13)
(–13, 11)
(11, 13)
(13, 11)
Answer:
(13, 11)
Step-by-step explanation:
I graphed the line and the vertex is at 13, 11
The vertex of the function f(x) = |x - 13| + 11 is (13,11)
How to determine the vertex?The function is given as:
f(x) = |x - 13| + 11
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a|x – h| + k
Where, the vertex is (h,k)
So, we have:
(h,k) = (13,11)
Hence, the vertex of the function f(x) = |x - 13| + 11 is (13,11)
Read more about vertex at:
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Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.
Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is
.
The relative frequency of landing on caterpillar is
.
The relative frequency of landing on chrysalis is
.
The relative frequency of landing on adult is
.
All the outcomes
be considered equally likely.
Answer:
0.20, 0.24, 0.30, 0.26
Step-by-step explanation:
Hope this helps <3
Answer:
I’m pretty sure that it goes 0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.
Step-by-step explanation:
BRAINLIEST !!! 14. Find the length of the midsegment (NOT X)
88+40
16x
7
Answer:
Step-by-step explanation:
The length of the midsegment is half of the base in this case.
12x = 8x + 40
4x=40
x=10
So it's 60
Answer:
60
Step-by-step explanation: