Answer:
The amount deposited into her retirement plan each payday is;
$469.05
Step-by-step explanation:
From the details given on Nancy's income, we have;
Nancy's gross annual income = $46,905
The percentage deducted from her monthly paycheck for her 403(b) = 9%
The percentage her employer matches her deductions up to = 3%
Therefore, we have;
Her monthly pay = (Her gross annual income)÷12
∴ Her monthly pay = $46,905÷12 = $3,908.75
The amount deducted from her paycheck, A = 9% of $3,908.75
∴ A = 9/100 × $3,908.75 = $351.7875
The amount her employer matches her deductions up to, B = 3% of $3,908.75
∴ B = 3/100 × $3,908.75 = $117.2625
Therefore;
The amount deposited into her retirement plan each payday, D = A + B
∴ D = $351.7875 + $117.2625 = $469.05
The amount deposited into her retirement plan each payday, D = $469.05.
Little Snail is going to visit his friend over at the next pond, 3 miles away. He can crawl ( 1/2. 1/3, 1/4, 3/4, 2/3 ) of a mile per day. How many days will it take him to get there
Solution :
It is given that Little Snail is going to visit one of his friend at the pond which is 3 miles away.
When the snail crawls 1/2 of a mile per day, it will take him, [tex]$1 \times \frac{2}{1} \times 3$[/tex]
= 6 days to get to the next pond.
When the snail crawls 1/3 of a mile per day, it will take him, [tex]$1 \times \frac{3}{1} \times 3$[/tex]
= 9 days to get to the next pond.
When the snail crawls 1/4 of a mile per day, it will take him, [tex]$1 \times \frac{4}{1} \times 3$[/tex]
= 12 days to get to the next pond.
When the snail crawls 3/4 of a mile per day, it will take him, [tex]$1 \times \frac{4}{3} \times 3$[/tex]
= 4 days to get to the next pond.
When the snail crawls 2/3 of a mile per day, it will take him, [tex]$1 \times \frac{3}{2} \times 3$[/tex]
= 4.5 days to get to the next pond.
what is the opposite of -18
1. 18
2. 81
3. 8
4. 80
Answer:
18
Step-by-step explanation:
A teacher is flying a drone as shown in the diagram below. The drone is maintaining a height of approximately 150 feet above his eye level. What is the approximate angle of elevation from his eye level to the drone when the drone is approximately 200 feet away from him?
Answer:
Angle of elevation = 48.60° (Approx.)
Step-by-step explanation:
Given:
Vertical Height = 150 feet
Horizontal angular length of drone = 200 feet
Find:
Angle of elevation
Computation:
Using trigonometry function
⇒ Sinθ = Perpendicular / Hypotenuse
⇒ Sinθ = Vertical Height / Horizontal angular length of drone
⇒ Sinθ = 150 / 200
⇒ Sinθ = 0.75
⇒ Sin⁻¹(0.75) = θ
Angle of elevation = 48.60° (Approx.)
The midpoint of the line segment joining P(-2, 3) and Q(4,-1) is M.
The point C has coordinates (-1,-2).
Show that CM is perpendicular to PQ.
Step-by-step explanation:
hope it helps!!
sorry for the rough handwriting tho
HELP ME PLEASEEEEEEEEEEEE
Should be D. if I'm correct. This pair of angles doesn't seem to be in the right position to form a 90 degree or a 180 degree angle, ruling out supplementary and complementary angles, and they definitely aren't vertical angles, leaving only choice D: None of the above.
Look at these numbers 11, 11 , 7 , 18 , 8 what is the correct way to put them in order so you can find the median
Answer:
7, 8, 11, 11, 18
Step-by-step explanation:
The order you put them in is from least to greatest:
7, 8, 11, 11, 18
There, you can find the median to be 11
Answer:
It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are. That is the mean.
Step-by-step explanation:
PLSSSS HELPPPPPPP WILL MARK BRAINIEST!!!
Answer:
You forgot to attach the image!! Go back and try again!
Step-by-step explanation:
Answer:
i guess you didnt need help there is no question
Step-by-step explanation:
please mark brainliest even thou no question was answered
Solve for x
1/6 (2x - 12x) = 30
A) -12 B) -15 C) -18 D) -24
D (-18)
___________________________________________________________
The image always helps me, please don't be afraid to point out any mistakes, I hope I helped have a great day!
Several students were asked how many blocks they walk from home to school each day results are shown in the line plot below Miguel walks the shortest distance jila Watch the longest distance how much farther Then Miguel does jila walk?
Answer:
Miguel walks 4.25 blocks more than Jila.
Step-by-step explanation:
Line plot shown in the question represents the distance traveled by the students from their houses to their school.
From the line plot,
Distance between 1 and 2 = [tex]\frac{1}{4}[/tex] = 0.25 blocks
Shortest distance traveled by Miguel = 0.25 blocks
Longest distance traveled by Jila = 4.5 blocks
Difference between the distances covered by Miguel and Jila = 4.5 - 0.25
= 4.25 blocks
Therefore, Miguel walks 4.25 blocks more than Jila.
Written as a simplified polynomial in standard form, what is the result when
(3x + 5)2 is subtracted from 4x??
Answer:
(3x+5)2 -4x
6x + 10 - 4x
2x + 10
Kate multiplied two binomials using the distributive property. She made a
mistake in one of the steps. Where did she first make a mistake?
(x - 2)(3x + 4)
1. (x-2)(3x) + (x + 2)(4)
2. (X)(3x) + (-2)(3x) + (x)(4) + (2)(4)
3. 3x2 - 6x + 4x + 8
4.3x2 - 2x + 8
Answer:
step 1
Step-by-step explanation:
Given
(x - 2)(3x + 4) ← apply distributive property
= (x - 2)(3x) + (x - 2)(4)
↑ error is here , she put (x + 2)
In this exercise we have to use the knowledge of the distributive property, so In alternative 1 she made the mistake.
What is distributive property example?The distributive property is used when a number is multiplying an addition or subtraction. Simply multiply each term separately and add or subtract the result. We distribute the multiplication of the 2, to the 8 and to the 3.
Proving the mistake:
[tex](x - 2)(3x + 4) \\= (X)(3x) + (-2)(3x) + (x)(4) + (2)(4)\\and not\\(x-2)(3x) + (x + 2)(4)[/tex]
See more about distributive at brainly.com/question/14926605
PLEASE HELP ME OUT PLEASE!!!!!!
Answer:
T = (0, 2b)
A = (a, 4b)
Step-by-step explanation:
The shapes of the horizontal cross-sections of the cylinder below are not all
congruent
A. True
B. False
plz resond and help write a rulew to represent the sequence 13122, 4374, 1458, ...
Answer:
Starts at 13122, and divides by 3
Step-by-step explanation:
4374 x 3 = 13122
4 m
3m
6 m
8 m
UE
3 m
Your answer
I don't understand, could you explain further?
NO LINKS I WILL REPORT!!! But help plssss Which of these triangles are definitely not congruent to any of the others?
Check all that apply.
Answer:
F is not congruent
Step-by-step explanation:
PLEASE HELP!!
On a child’s birth, a deposit of $2000 was put into an account that pays 5% interest compounded annually. How much is in the account after 18 years?
Answer: $4,813.24
Step-by-step explanation:
This requires the use of a future value formula because we are to find the value of an amount in future after compounding it over a certain period.
Future Value = Amount * (1 + rate) ^ number of years
= 2,000 * ( 1 + 5%)¹⁸
= $4,813.24
In 18 years, the $2,000 would have increased to $4,813.24.
Brianna wants to know how many internet-compatible devices are owned, on
average, by people in her town. Can she use her sample data to form a valid inference
about the town? Explain.
Answer:Who is BRIANNA
Step-by-step explanation:
Graph this function: y = -4x + 10 (just put the cordinants thank youu)
X: -2,-1,0,1,2
Y: 18,14,10,6,2
A chocolate bar cost 2 dirham. Alyazia spends 18dh on chocolate bars for her siblings. Write an equation to express how many chocolate bars she bought.
pllssss helpppp
Answer:
ok all you have to do is solve the equation
Answer:
A chocolate bar = 2 dirham
amount of money Alyazia spends = 18 dirhams
on chocolate bars for her siblings are
∴ the number of chocolates Alyazia are = 18/2 = 9
Alyazia bought 9 chocolates
hope this answer helps you.....
Find the common ratio of the following geometric sequence:
4, 8, 16,....
Javier bought a 20-pound bag of dog food for his Great Dane, Tank. After 7 days, all the dog food was gone.
How much dog food did Tank eat each day?
Write your answer as a proper fraction or mixed number.
Step-by-step explanation:
answer 2.85 or 57/20 this is because you divide 20/7 and find it is 2.85... and convert frim there
Answer:
2 6/7
Step-by-step explanation:
B
find the following angles. angles Q, ARB, PRQ
I will mark brainlist
Answer:
it is very simple we can answer it's to simple
Step-by-step explanation:
let me explain
for it is straight
for arb it is also simple you have to do arb because there is made triangle
prq there is also a triangle
now please mark me as brainlist
Find the distance between (-22,15) and (30, -25).
Answer:
65.60
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(30−−22)2+(−25−15)2(30--22)2+(-25-15)2
= √522+(−40)2522+(-40)2
= √2704+16002704+1600
= √43044304 = 65.6049
Graph the function. F(x)=(-x+2)(x-6)
Step-by-step explanation:
solution shown in picture
How many different 2-digit ID numbers can be made if each ID number can use the numbers 1 through 8 and no digits may be repeated?
Answer:1,2,5,7,8 and 9. Thus, we have 6 numbers.
Step-by-step explanation:Then we want to form two-digit numbers without repetition. There are 6 number that is possible to occupy first digit, right? 1,2,5,7,8 or 9. Because it’s without repetition, so the number that have been filled the first digit cannot be the second digit. Thus, the numbers that possible to occupy second place are 5 digits.So step by step
Three times a number is 36. What is the number?
36
n
n
n
n =
PLSS HELP I AM TIMED
Please help with this question picture attached ASAP please
1 : 1.71 : 2.43
Step-by-step explanation:
What divided by 7= 1?
7/7 = 1
So use that answer for the other two dolls.
12/7 = 1.71
17/7 = 2.43
1 : 1.71 : 2.43
Have the same ratio as
7 : 12 : 17
You start at (10, 9). You move left 9 units. Where do you end?
Answer:
(1,9)
Step-by-step explanation:
Answer:
(1,9)
Step-by-step explanation:
Which is the equation of the given line in point-slope form?
y-0=1(x+8)
y-0=-1(3-8)
y=-2 +8
y-8=-1(2+0)
Answer:
y-8=-1×(x+0)
Step-by-step explanation:
m=y2-y1/x2-x1
m=0-(8)/8-(0)
m=-8/8-(0)
m=-8/8+0
m=-8/8
m=-1
y-(8)=-1×(x-(0))
y-8=-1×(x+0)