(a) The amount that is deducted from each of Page's paychecks semimonthly is $717.
(b) The amount deducted per week is option A, $29.23.
(a) Given that:
The amount earned by Page semimonthly = $1320
Total cost for the insurance plan = $2868
The school pays 75 per cent of the cost.
The percentage of the insurance cost that Page has to pay = 100% - 75% = 25%.
The amount deducted from the paycheck of Page is:
A = 25% × $2868
= $717
(b) Given that:
The annual cost of medical insurance = $3500
The percentage of this insurance he has to pay = 100% - 60% = 40%.
Annual deduction from his paycheck = 40% × 3500
= $1400
The annual cost of travel insurance = $1200
The percentage of this insurance he has to pay = 100% - 90% = 10%.
Annual deduction from his paycheck = 10% × 1200
= $120
Total amount deducted per year = $1400 + $120
= $1520
Number of weeks in a year = 52 weeks
The amount deducted per week = [tex]\frac{1520}{52}[/tex]
= [tex]$29.23[/tex]
Hence, the correct option is A. $29.23.
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how do I do 1. e) PLEASE HELP I’LL GIVE BRAINEST
Answer:
5/6, 6/7, 7/8
Step-by-step explanation:
The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.
Hope that helps
 Use trigonometric identities to solve each equation within the given domain
sec(x) cos(3x) = 0 from [- x /2 , x /2]
Answer:
Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].
Step-by-step explanation:
Angle sum identity for cosine:
[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].
Double-angle identity for cosine and sine:
[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].
[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].
The secant of an angle is the inverse reciprocal of the cosine of that angle:
[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].
Apply these identities to rewrite the left-hand side of the equation.
[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].
Solve the rewritten equation:
[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].
Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].
The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].
If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].
Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],
Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.
Find the slope of the y intercept of the graph linear equation 2x+y=7
2x+y=7
-2x -2x
y=-2x+7
slope of -2
Hope this is right, feel free to correct me in the comments
Answer:
-2
nsskwiwkwnwhsisnenwnwjw w w
2,631 dividido entre 24
Answer:
2631 divided by 24 = 109.625
Step-by-step explanation:
The result of 2631/24 is a terminating decimal with 3 digits to the right of the decimal point.
2631 divided by 24 in decimal = 109.625
2631 divided by 24 in fraction = 2631/24
2631 divided by 24 in percentage = 10962.5%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 2631 and 24, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 2631, and the denominator, e.g. 24, have been inserted.
SPANISH:
El resultado de 2631/24 es un decimal final con 3 dígitos a la derecha del punto decimal.
2631 dividido por 24 en decimal = 109,625
2631 dividido por 24 en fracción = 2631/24
2631 dividido por 24 en porcentaje = 10962,5%
Tenga en cuenta que puede utilizar nuestra calculadora de última generación anterior para obtener el cociente de dos enteros o decimales cualesquiera, incluidos 2631 y 24, por supuesto.
Los repetends, si los hay, se indican en ().
La conversión se realiza automáticamente una vez que el nominador, por ejemplo, 2631, y el denominador,
what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,
Answer: [tex]y = -\frac{2}{3}x+2[/tex]
Check out the diagram below.
======================================================
Work Shown:
[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]
The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.
The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.
make p the subject of t=p+m/p-m
Answer:
t=9+m/9-m
Step-by-step explanation:
Free 10 pointss oh:>
Answer:
oh it's 5 not 10 xD
The hazard management process consists of a number of activities designed to reduce loss of life and destruction of property. Natural hazard management has often been conducted independently of development planning. A distinctive feature of OAS technical assistance is the integration of the two processes.
Step-by-step explanation:
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have a great day
In Math, the word dilate means to make a figure
Answer:
False
Step-by-step explanation:
in math, dilate means changing the size of an object without changing its shape
Have a good day, sorry if I'm wrong:)
(if I am wrong, plz tell me<3)
pls answer asap and correctly
Answer:
B
Step-by-step explanation:
Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length
LOOK AT PICURE!! WHOEVER IS CORRECT I WILL MARK BRAINIEST!!
Answer:
This angle is not a right angle from what it looks like, but this angle if you turn it sideways, angle JKN should be a little more than 90 which classifies it as an obtuse angle.
Someone help me and answer these ASAP PLS
1. What are the three major responsibilities of the county commissioners?
2. What are the three major responsibilities of the county sheriff?
3. What is the fundamental purpose for county government?
Answer:
1. The powers include: budgeting and appropriation of funds for all county activities; building and maintaining county roads; making and enforcing civil and criminal resolutions and ordinances not in conflict with state law, including those for land use and building construction; supporting and implementing.
2. Serves as a licensed peace officer and is responsible for enforcing the criminal laws of the state. Manages and operates the county jail. Provides security for the courts.
3. County governments perform essential administrative functions such as registering voters, supervising elections, keeping records, providing police protection, and administrating health and welfare services.
Step-by-step explanation:
Mr. Benson’s gross pay is $789.18. The amount of social security deducted is 6.2% of gross pay. How much of his gross pay will be deducted for the social security tax?
Answer: $48.93
Step-by-step explanation: 789.18 x 0.062
Answer:
$48.93
Step-by-step explanation:
789.18 x (0.062) = 48.92916 $48.93
took the test
can i get help for number 3???!?! please!!
Answer:
1.) 40 degrees
2.) 75 degrees
3.) 105 degrees
4.) 140 degrees
Step-by-step explanation:
Straight lines are = 180 degrees. Each of the angles you must solve have a given exterior angle. All you have to do is subtract the exterior angle from 180 to find the interior angle
1.) angle = 180-140
2.) angle = 180-105
3.) angle = 180-75
4.) angle = 180-40
Answer:
Measure of angle 1 is: 40 degrees
Measure of angle 2 is: 75 degrees
Measure of angle 3 is: 105 degrees
Measure of angle 4 is: 140 degrees
Step-by-step explanation:
Each of these angles is supplementary, meaning it adds up to 180 degrees,Thus, we can just subtract the measurement given from 180 to get our angle's measurement :)
49000000 -8373448588766
answer:
-8.3733995^12
8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)
Answer:
Step-by-step explanation:
y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.
A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.
Vertical difference “y” = y 2 – y 1 = − 5 – 1 = − 6
Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1
Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6 for the slope, m.
A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.
1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b
Thus the final equation is y = − 6 ⋅ x − 17
We then check this by substituting the other known point into the equation:
− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5
Three consecutive integers add up to 51. The integers are *
16,17,18
15,16,17
17,18,19
18,19,20
Answer:
1st option
Step-by-step explanation:
let the three consecutive integers be n , n + 1 , n + 2 , then adding gives
n + n + 1 + n + 2 = 51, simplifying
3n + 3 = 51 ( subtract 3 from both sides )
3n = 48 ( divide both sides by 3 )
n = 16
n + 1 = 16 + 1 = 17
n + 2 = 16 + 2 = 18
The 3 consecutive integers are 16, 17, 18
Here is a list of numbers:
1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5
State the median.
Give your answer as a decimal.
Answer:
So I added, 1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5, which equals 50.5.
Then, I divided 50.5 by 9 since that is how many number sections there are.
Therefore, I get 5.61.
whats the solution of 4-|x| = 1
Answer:
Well, x=3, -3
Step-by-step explanation:
If you use a calculator you'll easily be able to figure this out.
Answer:
x = -3 or x = 3
Step-by-step explanation:
4 - |x| = 1
Subtract 4 from both sides:
4 - 4 - |x| = 1 - 4
- |x| = -3
Divide both sides by -1:
[tex]\frac{-|x|}{-1} = \frac{-3}{-1}[/tex]
x = -3 or x = 3
Giving brainlyest if your answer is right
Answer:
-147 because -21x7 equals -147
Step-by-step explanation:
Bonjour, Est-ce que quelqu'un peut m'aider à faire ce devoir. tellement apprécié :)
Step-by-step explanation:
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good nigth
ilove you
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
Answer:
115.248
Step-by-step explanation:
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
120−96×[5 ÷ {23 − 3 × (-26)}]
120−96×[5 ÷ {101}]
120−96×[0.0495]
115.248
Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Mrs. Perciballi went to the LOFT for a sale and spent $40 on a dress and bought 3 shirts of equal value. Her purchases totaled $115. Define a variable, then write and solve an equation to find how much each shirt cost.
Answer:
Variable- an unknown number
Each shirt is 25$
Step-by-step explanation:
P (Price)
S (Shirt)
F) p=40+3s
S) 115=40+3s, 115-40=3s, 75=3s
E) s=25
136 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 136, slightly less than 136, slightly greater than 136, or a lot greater than 136? Explain.
can someone please help me with this
Answer:
if the question is what is the are of the circle without the rectangle inside it, then we could solve it easily using the Mathematical formula for A Circle's area which is
[tex]\pi {r}^{2} [/tex]
since a radius is half a diameter, and the diameter is 8cm, the radius becomes 4 cm
Step-by-step explanation:
π×4^2
3.14×16
50.24
What is m if 14 + 9m = -13
Answer:
-3m
Step-by-step explanation:
everyone knows we should take the unknown letter to a one side and numbers to another side.
so first ;
9m + 14 = -13
9m = -13 - 14
9m =-27
9m/9 = -27 / 9
m = -3
-3 is the finale answer
Find the value of x, and please explain how you got x
Alex wrote the expanded form for the number 165.038 as “100 + 60 + 5 + 30 + 8.” Was he correct? If not, give the correct expanded form. P.S I really need the answer asap!
Answer:
no he is not correct.
the correct expanded form: 100+60+5+0.0+0.30+0.008
Step-by-step explanation:
Hope this helps also i learned about this r u in 5th grade
Alex's expanded form for the number 165.038 is not correct. The correct expanded form for the number 165.038 is 100 + 60 + 5 + 0.03 + 0.008.
The number 165.038 can be broken down into its individual place values:
Hundreds: 100
Tens: 60 (6 tens)
Ones: 5
Tenths: 0.03 (3 hundredths)
Hundredths: 0.008 (8 thousandths)
So, the correct expanded form for the number 165.038 is:
100 + 60 + 5 + 0.03 + 0.008
Hence, Alex's expanded form for the number 165.038 is incorrect. The correct expanded form is: 100 + 60 + 5 + 0.03 + 0.008.
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Correct answer gets Brainly !!
Answer: X=5
Step-by-step explanation: Because if you subtract 10-(-5) it = 5
Write a statement and reason proof.
Answer:
l want to do all your math
Answer:
<XPE = <ENY
Step-by-step explanation:
<1=<2 (GIVEN)
SO <3+<4= <5+<6
<3=<4 (PE Bisects <APN)
<5=<6 (EN bisects <ANP)
so <3=<5
than <XPE=< ENY
for cases of n objects taken n at a time the number of possible combinations is _____________ the number of possible permutations.
Answer:
I believe your answer is less than or equal to. I hope this helps.