Lauren's net pay after deductions will be equal to $623.52
What will be the net pay of Lauren?The net pay of the Lauren will be calculated as
The gross pay is = $ 765
The Federal tax = $68
Social security tax on gross pay 6.2%= [tex]SST=765\times 0.062=47.43[/tex]
Medicare tax on gross pay 1.45%= [tex]765\times 0.0145=11.09[/tex]
State tax on federal tax holdings 22% =[tex]68\times 0.22=14.96[/tex]
Now the net pay will be
[tex]=765-68-47.43-11.09-14.96=623.52[/tex]
Thus Lauren's net pay after deductions will be equal to $623.52
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Please help I will give brainliest.
Answer:
yes
yes
no
no
yes
Step-by-step explanation:
f(x) = y = x² + 2x = x(x + 2)
the y-intercept (the point with the y value where x = 0) is
y = 0² + 2×0 = 0
yes, the y-intercept is (0, 0).
yes, the graph opens upward, as x² is the most powerful and therefore driving term in the expression. so, it behaves basically like x².
no, the x-intercepts are the points, where y = 0.
and while (0, 0) is correct, but (2, 0) is not.
x = 2 gives us 2² + 2×2 = 4 + 4 = 8 as y value.
the second correct x-intercept would be (-2, 0).
x = -2 gives us (-2)² + 2×-2 = 4 - 4 = 0
no (see last point)
yes, the vertex is (-1, -1).
we get the extreme value (in this case the minimum, as the curve opens upward) by finding the zero of the first derivative :
f'(x) = 2x + 2 = 0
2x = -2
x = -1
y = (-1)² + 2×-1 = 1 - 2 = -1
help me!!!!!! ASAP!!!
Answer:
Last answer got erased lol
Step-by-step explanation:
divide all numbers by two.
think faster and mby think better too
Solve for x. Round to the nearest tenth, if necessary
Answer:
x = 8.4
Step-by-step explanation:
For the 51° angle, 5.3 is the adjacent leg.
x is the hypotenuse.
cos 51° = adj/hyp
cos 51° = 5.3/x
x = 5.3/cos 51°
x = 8.4
Select all the stories the tape diagram can represent.
Answer:
(B) (C) (E)
Step-by-step explanation:
What is the solution to the equation 6x + 2(x − 3) = 4x + x − 18? (1 point) 4 2 −2 −4
Answer: 4
Step-by-step explanation:
Given f(x) = 7x - 9 and g(x) = x2, choose
the expression for (fºg)(x).
Answer:
f[g(x)]
7(x^2)-9
Step-by-step explanation:
(fºg)(x) read: f of g of x. And can be seen written like in this format: f[g(x)]. Which I prefer.
The expression f[g(x)] means that you put the expression g(x) into the x variable for f(x). Comment if you need a better explanation :)
Use the distributive property to simplify the expression -8(5 + 9).
-32
32
112
-112
Answer:
-112
Step-by-step explanation:
Simplified:-40 - 72=-112
How do you work out this question
Answer:
The original price is $7926.83
Step-by-step explanation:
Step 1: Subtract the percent of the discount from the percent of the original cost:
100% - 18% = 82%
Step 2: Convert the percent to a decimal.
82% = 0.82
Step 3: Solve for the original price.
[tex]\frac{0.82x}{0.82} = \frac{6500}{0.82}[/tex]
= 7926.829268 (Round to the nearest tenths)
$7926.83
Hope it helps!!!
A deposit of $4000 is made into a savings account that pays 2.48% annual interest compunded quarterly.
a. How much money is in the account after 3 years?
b. How long will it take for the account to earn $500 interest?
years
c. How much more money will be in the account after 3 years if the interest if compounded continuously?
Answer:
a. $4307.96
b. 4.76 years
c. $0.99
Step-by-step explanation:
These questions can be answered using the relevant formulas for future value of an investment.
a.For compound interest, the account balance is given by ...
A = P(1 +r/n)^(nt) . . . . principal P at annual rate r compounded n times per year for t years
$4000 at 2.48% compounded quarterly for 3 years will give an account balance of ...
A = $4000(1 +0.0248/4)^(4·3) = $4000×1.0062^12 ≈ $4307.96
After 3 years, there will be $4307.96 in the account.
__
b.After earning $500 in interest, the account balance will be $4500. That means we need to solve for t such that ...
4500 = 4000(1.0062^(4t))
log(4500/4000)/(4×log(1.0062)) = t ≈ 4.764
It will take about 4.76 years to earn $500 interest.
__
c.The future value of an account with continuous compounding is given by ...
A = Pe^(rt)
A = $4000e^(0.0248·3) ≈ $4308.95
Then the additional interest is ...
$4308.95 -4307.96 = $0.99
If the money is compounded continuously, there will be $0.99 more in the account after 3 years.
Using the life syllogism order the statements and make a final conditional statement
The law of syllogism is similar to the transitive property:
a->b and b->c => a->c
So
p->q and _____ => p->r
will require the second proposition to be q->r, which completes the syllogism
p-> and q->r => p->r
please help and provide how u got the answer plz plz plz
Answer:
i asked my mom
Step-by-step explanation:
because you should ask for help from gaurdinas
Can you use exactly 121 squares to create a critter in this pattern?
Answer:
No
Step-by-step explanation:
There are 9 squares in the first critter. So, 121/9=13.44444 and so on. Since the outcome is not a whole number, this means you can not fit exactly 121 squares in that pattern.
Bryan’s mom spent $46.20 filling up her gas tank. If her gas tank can hold 12 gallons of gas, how much did each gallon cost?
A. $3.48
B. $3.85
C. $3.86
Answer: Each gallon costs $3.85
Step-by-step explanation:
We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:
$46.20 ÷ 12 = $3.85
Each gallon costs $3.85
what’s the answer for 15ft wide and 8ft long
Melvin mows a lawn. The fraction of the lawn that Melvin has mowed so
"far is represented by the shaded model shown.
3
Melvin will mow more of the lawn before he takes his first break.
10
What fraction of the lawn will Melvin have mowed when he takes his
first break?
Melvin would have mowed 12/25 of the lawn of the when he takes his first break.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The total number of squares in the lawn = 100, 3/10 of the lawn = (3/10) * 100 = 30 squares
The number of squares already mowed = 18
Hence:
Fraction of the lawn Melvin have mowed when he takes his first break = (18 + 30) / 100 = 48/100 = 12/25
Melvin would have mowed 12/25 of the lawn of the when he takes his first break.
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whats is the ratio of blue paint to yellow paint
Answer:
The answer should be 6:2
Answer:
6 : 2
Step-by-step explanation:
There's 6 blue units & 2 yellow units; hope this helps!
Can u solve this problem
Answer:
Yes, 9
Step-by-step explanation:
Use order of operations.
Step 1:
(1+2)=3
Step 2: This leaves you with:
6÷2(3)
Step 3: From this point on, we go from left to right:
6÷2=3
3(3)=9
if a ray QT bisects <RQS, what will be the measure of one of the resulting angles?
mZTQS=
Answer:
m<TQS=23
Step-by-step explanation:
(3x-5)+(x+1)
4x-4=180
+ +
4x=184
--- ----
4 4
x= 46
46/2
=23
If a ray QT bisects <RQS, then [tex]m<TQS=23.5[/tex] °
Given :
a ray QT bisects <RQS
<PQR and <RQS is a linear pair . It makes and angle 180 degree
[tex]m<PQR+m<RQS=180[/tex]
From the diagram,
m<PQR=3x-5, and m<RQS=x+1
Substitute the expression and solve for x
[tex]m<PQR+m<RQS=180\\3x-5+x+1=180\\4x-4=180\\4x=180+4\\4x=184\\Divide \; by \; 4\\x=46[/tex]
now , [tex]m<RQS = x+1 =46+1=47[/tex]
Given QT bisects <RQS. it means QT divides RQS equally
[tex]m<TQS= \frac{m<RQS}{2} \\m<TQS= \frac{47}{2} \\\\m<TQS=23.5[/tex]
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I’m to lazy to do this page of my homework. Can someone do it. I will give Brainliest!!!
50% of 60 minutes is 30 minutes
0.50 * 60 = 30
Q1010% of 60 minutes is 6 minutes
0.10 * 60 = 6
Q1175% of 60 minutes is 45 minutes
0.75 * 60 = 45
Q12the order is, 65% of 80, 170% of 30, 82% of 50
0.65 * 80 = 52
0.82 * 50 = 41
1.70 * 30 = 51
Q13200,000 * 0.01x = 130,000
130,000/200,000 = 0.65
0.65/0.01 = 65
the plane used 65% of fuel capacity on this flight
Answer:
Step-by-step explanation:
1) 50% of 60 minutes is 30 minutes
2) 10% of 60 minutes is 6 minutes
3) 75% of 60 minutes is 45 minutes
4) 52%
5) 41%
6)51%
FINAL QUESTION:
260,000,000 fuel used
What value of x is in the solution set of 9(2x + 1) < 9x - 18?
04
0 -3
0 -2
0-1
Let's solve for x
9(2x+1) < 9x - 18
18x+9 < 9x-18
18x-9x < -18-9
9x < -27
x < -27/9
x < -3
Any value smaller than -3 is in the solution set
That means we have {-4, -5, -6, ...} as our solution set if x was only allowed to be an integer.
We can rule out choices B through D because of this. Only choice A remains, which I'm assuming you meant to say -4 instead of simply 4. If choice A says -4, then this is the answer.
If it doesn't say -4, then that isn't the answer and none of the answer choices work.
Note: if your original inequality is [tex]9(2x+1) \le 9x-18[/tex] then it solves to [tex]x \le -3[/tex] allowing x = -3 to be part of the solution set now. If you have an "or equal to" then that means B) -3 is the answer.
It seems like there might be a typo somewhere so I would double check.
i need to solve for x 3x+2=8
Answer:
x=2
Step-by-step explanation:
3x+2=8
subtract 2 from both sides
3x=6
divide both sides by 3
x=2
3(2)+2=8
6+2=8
8=8
Write and solve a proportion to answer the question.
48 is what percent of 160?
Answer:
30%
Step-by-step explanation:
[tex]\frac{48}{160} = 0.3 = 30%[/tex]
Toys-4-U has the same ratio of books to stuffed animals on its shelves as Evelyn (12:30). Which of these could be the number of books and stuffed animals in the store? Choose all the correct answers. A. 36 books, 126 stuffed animals b. 60 books, 84 stuffed animals c. 48 books, 120 stuffed animals d. 90 books, 36 stuffed animals e. 45 books, 18 stuffed animals
Answer:
c. 48 books, 120 stuffed animals
Step-by-step explanation:
Evelyn
Ratio of books to stuffed animals
12 : 30 = 2 : 5
Checking all options
A. 36 books, 126 stuffed animals
36 : 126
6 : 21
2 : 7
b. 60 books, 84 stuffed animals
60 : 84
10 : 14
5 : 7
c. 48 books, 120 stuffed animals
4 : 10
2 : 5
d. 90 books, 36 stuffed animals
90 : 36
15 : 6
5 : 2
e. 45 books, 18 stuffed animals
45 : 18
5 : 2
The correct answer is option c. 48 books, 120 stuffed animals
The perimeter of a rectangle is 14x + 6.
Part A: If the length of the rectangle is 4x - 1, what is the width of the rectangle.
Part B: Find the area of the rectangle
Answer:
Part A: the width of the rectangle is 3x+4
Part B: the area of the rectangle is 12x²+13x-4
3. Convert 3.4 miles to yards.
53,856 yards
5984 yards
1553 yards
O 1760 yards
Answer:
5894
Step-by-step explanation:
1 mile is 1760
so multiply 1760 by 3.4
what expression is equal to 20+30
Answer: 50 right?
Step-by-step explanation:
Answer:
30 plus 20
Step-by-step explanation:
or 15 35
25 25
or 0 59
Triangle ABC is isosceles, with AB = AC.
r\1180
Work out the size of angle x.
Help!!!
x = 180 - 118 ( linear angles)
x = 62
62+62+y = 180
y = 56
Answer:
Step-by-step explanation:
Angle of a straight line = 180 degrees :)
So to find x you would do:
x = 180 - 118 = 62
Also the angle sum of a triangle = 180 degrees.
Since it is an isosceles triangle, the bottom two angles would be equal:
Angle sum of triangle = 180
x + x + y = 180
Since we know x = 62, substitute it into the above equation:
62 + 62 + y = 180
124 + y = 180
Subtract 124 from both sides to solve for y.
y = 180 - 124
y = 56
what are the values of a and b?
Answer:
A
[tex]\boxed{a=\frac{9}{2}}}[/tex]
[tex]\boxed{b=\frac{15}{2}}[/tex]
Step-by-step explanation:
By ratio and proportion
Let's solve for "a" first:-
[tex]\cfrac{a}{6} =\cfrac{6}{8}[/tex]
[tex]8a=36[/tex]
[tex]\cfrac{8a}{8}=\cfrac{36}{8}[/tex]
[tex]\boxed{a=\frac{9}{2}}}[/tex]
Now, Let's solve for "b":-
[tex]\cfrac{b}{6} =\cfrac{10}{8}[/tex]
[tex]8b=60[/tex]
[tex]\cfrac{8b}{8}=\cfrac{60}{8}[/tex]
[tex]\boxed{b=\frac{15}{2}}[/tex]
Therefore, your answer is A!!!!
~
I need you to be 10000% because I give BRAINLIEST
Answer:
a. The equation is s = [tex]\frac{1}{3}[/tex] w
b. [tex]1\frac{5}{12}[/tex] cups of sugar will be needed to follow the recipe
Step-by-step explanation:
The equation of the direct proportional relation is y = k x, where
x is the inputy is the outputk is the constant of proportionalityWe can find the value of k by using the initial values of x and y
Let us use this rule to solve the question
∵ In the recipe for 1/2 cup of sugar for every 1 1/2 cups of water
→ That means the number of cups of sugar is in proportion to the
number of cups of water
∵ s represents the number of cups of sugar
∵ w represents the number of cups of water
∴ s ∝ w ⇒ (∝ a sign of proportion)
∴ s = k w ⇒ k is the constant of proportionality
∵ s = [tex]\frac{1}{2}[/tex] and w = [tex]1\frac{1}{2}=\frac{3}{2}[/tex]
Substitute the values of s and w in the equation above to find k
∵ [tex]\frac{1}{2}[/tex] = k × [tex]\frac{3}{2}[/tex]
→ Multiply both sides by 2 to cancel the denominators
∴ 1 = 3 k
→ Divide both sides by 3 to find k
∴ [tex]\frac{1}{3}[/tex] = k
∴ The equation is s = [tex]\frac{1}{3}[/tex] w ⇒ a.
→ We need to find the number of sugar cups for 4 1/4 cups of water
∵ w = [tex]4\frac{1}{4}=\frac{17}{4}[/tex]
∵ s = [tex]\frac{1}{3}[/tex] w
→ Substitute w by 5/4
∴ s = [tex]\frac{1}{3}[/tex] × [tex]\frac{17}{4}[/tex]
∴ s = [tex]\frac{17}{12}=1\frac{5}{12}[/tex]
∴ [tex]1\frac{5}{12}[/tex] cups of sugar will be needed to follow the recipe ⇒ b.
Mrs. Menary made 4 1/2 quarts of lemonade for a school party. How many fluid ounces of lemonade did she make?
Answer:
144 fluid ounces
Step-by-step explanation: