Answer:
Step-by-step explanation:
The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The Simon's salary at present = $35730.40 p.a.
Increased rate = 6% = 0.06
(a) Simon's salary three years ago:
⇒ [tex]\$35730.40(0.06)[/tex]
⇒ [tex]\$2143.824[/tex]
Original salary of Simon,
⇒ [tex]35730.40-2143.824[/tex]
⇒ [tex]\$33586.576[/tex]
(b) Gross monthly salary at the present:
⇒ [tex]\frac{33586.57}{12}[/tex]
⇒ [tex]2798.88[/tex]
(C) Net pay per month:
Deductions each month amount to 22.5% of his gross salary,
⇒ [tex]22.5\%=0.225[/tex]
⇒ [tex]2798.88(0.225)[/tex]
⇒ [tex]\$629.79[/tex]
Thus net pay per month,
⇒ [tex]2798.88-629.79[/tex]
⇒ [tex]\$2169.09[/tex]
Hence we can conclude that
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
Learn more about word problems here
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Find the 12 term of the geometric sequence 2,10,50,
Answer: 19,531,250
.......
question is down below thank you
Answer:
In about 2018, we will have the population at 30 million
Step-by-step explanation:
Here, we want to get the year in which the population of Texas will reach 30 million
What we have to do here is to substitute f(x) for 30; then get the value of x at this point
We proceed as follows;
30 = 21(1.02)^x
30/21 = 1.02^x
1.42857 = 1.02^x
ln 1. 148257 = ln 1.02^x
ln 1.148257 = x ln 1.02
ln 1.42857/ln 1.02 = x
x = 18 approximately
Adding this to the initial 2000, we have 2018
Can someone tell me what Pythagorean theorem is? I really need help.
Answer:
The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).
Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.
Here's a problem:
c ⊿ a (12)
b (6)
C is missing, we have to find C, so here's what we do:
Step 1: You square all the numbers in the equation
12² + 6² = c²
↓
144 + 36 = c
Step 2: You add 144 + 36 and you get 180
Step 3: Then you find the square root >> [tex]\sqrt{180\\[/tex] and you get ≈13.4
Now sometimes, the a or b would be missing, for example:
c (13)⊿ a
b (5)
A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)
Step 1: You square all the numbers in the equation
a² + 5² = 13²
a + 25 = 169
For this next part, you must subtract a or b (in this case, b) on both sides, for example:
25 – 25 = 169 - 25
25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.
Then we find the square root of 144 and we get 12
I hope this helps :)
What is the value of y?
E
(3y + 4) (5y-10)
A.)7
B.)5.5
C.)1.75
D.)6
Answer:
7
Step-by-step explanation:
3*7+4=25
5*7-10=25
Question 1: Find the area of each triangle
(a)
(b)
10cm
8cm
7
6cm
Answer:
a)=80cm^2 b)=42cm^2
Step-by-step explanation:
10x8=80
7x6=42
add cm^2 at the end
What is an equation of the line that passes through the points (-8, 4) and (-8, 8)?
Answer:
x = -8
Step-by-step explanation:
The line is a vertical line with x-intercept of -8
PLEASE ANSWERS
Translate the description as an algebraic expression:
the difference of 4 and the absolute value of m
Answer:
[tex]4 - |m|[/tex]
Step-by-step explanation:
The two lines on each side of the m, signify that it is absolute value.
The difference of 4 and the absolute value of m, translates to 4 - |m|
find a line that is perpendicular to y=-2x+7 and passes through a point of (1,-1)
Answer:
y=1/2x-3/2
Step-by-step explanation:
m1=-2
m1m2=-1
-2m2=-1
m2=1/2
-1=1/2(1)+b
b=-3/2
y=1/2x-3/2
For each function shown:
*Name the starting point.
*Explain how y changes as x increases.
Function #1: [tex]y = 0.5 + 3x[/tex]
Function #2: [tex]y = 3(5)^x[/tex]
Answer:
The starting point of
F1 is
[tex](0. \frac{1}{2} )[/tex]
F2 is
[tex](0.3)[/tex]
Y will increase if the x increase in the two equation
Step-by-step explanation:
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.
which graph has a slope that best represents the average cost of the lunches in dollars per
unch?
The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval 2 <3 < 4?
18
16
14
13
10
10 9 87
6-5-4-3-2-1
2
7 8 9 10
-10
-14
-16
20
Answer:
Average rate of change = 1
Step-by-step explanation:
Average rate of change of a function between x = a and x = b is defined by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4
Therefore, average rate of change of the function = [tex]\frac{f(4) - f(2)}{4-2}[/tex]
From the graph attached,
f(4) = 4
f(2) = 2
Average rate of change = [tex]\frac{4-2}{4-2}[/tex]
= 1
Therefore, average rate of change of the function in the given interval is 1.
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What is the sale price of a gold necklace originally priced at $40?
Answer:
$20
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
40/2=20
What is:
(s+12)+(3s-8)
simplified?
Answer:
4s+4
Step-by-step explanation:
I hoped this helped :)
multiplicative inverse of 2/9
Answer:
multiplicative inverse of -2/9 is -9/2.
Step-by-step explanation:
HOPE THIS HELPS :)
make sure to mark me brainliest for the 4 algebra calculators that WORK GREAT
( − 35 − 42 − 63 ) ∶ ( + 7 )
(-35-42-63)/7= (-140)/7=-20
For her cell phone plan, Jane pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. What is the maximum number of texts that can Heather send each month while staying within her budget?
I will award the right answer brainliest!
Odpowiedź w załączniku
Help two questions only!!!!
Answer:
1) [tex]9^{2}=81[/tex]
2) [tex]7=log_{2}(128)[/tex]
Step-by-step explanation:
1)
We need to use the property of power and logarithms, particularly this:
[tex]a=x^{log_{x}(a)}[/tex] (1)
So, let's take take the exponent:
[tex]9^{log_{9}}(\frac{1}{81})=9^{-2}[/tex]
[tex]\frac{1}{81}=9^{-2}[/tex]
now, we can write the negavitve power as:
[tex]\frac{1}{81}=\frac{1}{9^{2}}[/tex]
So, the aswer will be:
[tex]9^{2}=81[/tex]
2)
Applying equation 1, let's take log in base 2 on each side of the equation
[tex]log_{2}(2^{7})=log_{2}(128)[/tex]
using the power definition in log, we have:
[tex]7log_{2}(2)=log_{2}(128)[/tex]
Therefore, the answer is:
[tex]7=log_{2}(128)[/tex]
I hope it helps you!
PLEASE HELP I NEED TO GET THIS DONE ASAP !!!!!
Answer:
50.27 cm²Step-by-step explanation:
Shaded area is the difference in the areas of big and small circles.
Circle area formula: A = πr²A = π(5²) - π(3²) = π(25 - 9) = 16 π = 50.2654824574 ≈ 50.27cm²Answer:
area of shaded region
=π5²-π3²=50.2857142857cm²
Step-by-step explanation:
to find shaded region first find area of big circle and of small
subtract area of small circle from big circle.
Joe buys 6 adult tickets and 4 child tickets for the movies. Each adult ticket cost $9. Each child ticket cost the same amount. Joe pays with a $100 bill and gets $22 in change. How much does each child ticket cost?
Answer:
Each child ticket cost = $6
Step-by-step explanation:
Joe has = $100
His balance after tickets purchase = $22
Actual amount spent on tickets = $100 - $22 = $78
But,
Each adult ticket cost = $9
Total no of adult = 6
Total amount spent (adults) = $9 x 6 = $54
Balance remaining = $78 - $54 = $24
Amount spent of 4 child tickets = $24
No of children = 4
Therefore,
Amount spent on 1 child (1 ticket),
= $24/4 = $6.
It could be seen that each child ticket cost six dollars.
No need for an explanation it is option
Answer:
II) 78
Step-by-step explanation:
2x - 6 + 7x + 15 = 90
9x + 9 = 90
9x = 81
x = 9
<ABC:
7x + 15
7(9) + 15
78
Answer and Step-by-step explanation:
To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.
2x - 6 + 7x + 15 = 90
Combine like terms.
9x + 9 = 90
Subtract 9 from both sides.
9x = 81
Divide both sides by 9.
x = 9
We get x to be 9.
Now, we can plug this in for angle ABC.
7(9) + 15
Multiply 7 and 9 together.
63 + 15
Add 63 and 15 together.
78
The measure of ABC is 78.
That means the answer is II) 78.
#teamtrees #PAW (Plant And Water)
13 (a) Write 2016 as the product of prime factors.
Answer: 2^5*3^2*7*1
Step-by-step explanation:
Use the quadratic formula to determine the exact solutions to the equation.
2x2−5x+1=0
x=
or x=
Answer:
x= 2.28
or, x= 0.219
Step-by-step explanation:
2x²-5x+1 =0
a= 2, b= -5 and c= 1
x= (-b + √(b²-4ac))/2a
= (5 + √(25-8))/4
= (5 + √17)/4
How many sides does a regular polygon have if one exterior angle has a measure of 10°?
Answer:
36
Step-by-step explanation:
Answer:
36 sides
Step-by-step explanation:
PLS help. 30 points and brainliest
In triangle ABC, a = 3, b = 5, and c = 7. Find the measure of B.
158°
142°
38°
22°
Answer:
C
Step-by-step explanation:
Since we are given three sides and we want to find an angle, we can use the law of cosines.
The law of cosines is given by:
[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]
In this case, a = 3, b = 5, and c = 7. Therefore:
[tex](5)^2=(3)^2+(7)^2-2(3)(7)\cos(B)[/tex]
Evaluate:
[tex]25=58-42\cos(B)[/tex]
Therefore:
[tex]-42\cos(B)=-33[/tex]
Dividing both sides:
[tex]\displaystyle \cos(B)=\frac{33}{42}[/tex]
And by taking the inverse cosine of both sides:
[tex]\displaystyle \angle B=\cos^{-1}\Big(\frac{33}{42}\Big)=38.2132...\approx 38^\circ[/tex]
Our answer is C.
Answer:
38°
Step-by-step explanation:
Question should guns be allowed to be at school for example can a security guard have a gun?
Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.
Step-by-step explanation:
Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.
Step-by-step explanation:
Right answer gets brainlist right answer gets brainlist
Answer:
There's no question.
Step-by-step explanation:
Pls help math problem
Answer:
angle plm+angle lpm+angle pml=180°[by angle sum property]
21°+angle lpm+38°=180°
59°+ lpm=180°
lpm=180°-59°
lpm=121°
lpm+npl=180°[by limear pair]
121°+npl=180°
npl=180°-121°
npl=59°
Patricia buys a round dinner table. The radius of the dinner table is 6 meters.
What is the area of the table?
Answer:
113.04
π×6^2 is the solution of this
Answer:
area = 113.1 m²
Step-by-step explanation:
area = PiR²
area = (Pi)(6²) = 113.1 m²
This trapezoid-based right prism has a volume of 30 cm^3, 6cm ,5 cm, 1 cm what is the area base?
Answer: 6 cm^2
Step-by-step explanation:
The area base when the trapezoid-based right prism has a volume of [tex]30\ cm^3[/tex], 6cm ,5 cm, 1 cm should be 6.
Calculation of the area:Here we assume
a = 6
b = 5
c = 1
Now we know that
area
[tex]= (a + b)\div 2 \times c\\\\= (6 + 5)\div 2 \times 1\\\\= 5.5\times 1[/tex]
= 6
Hence, The area base when the trapezoid-based right prism has a volume of [tex]30\ cm^3[/tex], 6cm ,5 cm, 1 cm should be 6.
Learn more about an area here: https://brainly.com/question/24682685