Answer:
Social Security: $201.50, Medicare: $47.13
Step-by-step explanation:
divide 78,000 by 24(semimonthly) - $78000/24 = $3250(gross semimonthly basis)
multiply 3250 by .062(social security) - 3250 x .062 = $201.50
multiply 3250 by 0.0145(medicare) - 3250 x 0.0145 = $47.13
find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
a = 1b = 2Uₙ = 2n - 1sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Refer to the attachment
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences
Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)
f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t
Answer:
C. f(t) = 66 * 0.995^tStep-by-step explanation:
Required function is:
f(t) = 66*(1 - 5/100)^t = 66*0.005^tThe matching option is C
A serving of rice is 3/4 of a cup. How many servings are there in a 3 3/4-cup bag of rice?
Answer:
16 I think
Step-by-step explanation:
PLEASE HELP QUICK! 50 POINTS IF YOU HELP!!
I WILL GIVE PERSON BRAINLY IF THEY GET IT RIGHT!!!
match the equations of the lines with their graphs.
Answer:
Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.
Step-by-step explanation:
In 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.8 feet. Find the percent for EACH change in river depth
Answer:
1846= 0% change
1847= 3.2/5 ×100 = 64% decrease in river
1848= 6.8/3.2 ×100 = 212.5% increase
( used 3.2 because that was the last record)
ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Answer:
All even natural numbersStep-by-step explanation:
This is an AP with:
The first term = 1Number of terms = nCommon difference = 2Find the sum of the first n terms:
[tex]S_n= n(1+2n-1)/2=n^2[/tex]The sum is divisible by 4 if n is even number:
n = 2k ⇒ n² = 4k² ≡ 0 mod 4What is the slope, m, of a line perpendicular to the line 2x+3y=6
Answer:
m = 3/2
Step-by-step explanation:
3y = -2x + 6
y = -2/3x + 2
Perpendicular slope = inverse = 3/2
he table shows ordered pairs of the function y= 8-2x What is the value of y when x=8 ?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.
–20
–8
8
Step-by-step explanation:
Reorder
8
and
−
2
x
.
y
=
−
2
x
+
8
sorry if wrong
PLS FINDD THIS THIS IS DUE IN 10 MINNNNNN!!! PLEASE DO WITH CLEAR STEPSS!!! I'LL MARK U BRAINLIEST
Answer:
There is no question to answer.
Step-by-step explanation:
Answer:
Where is the question ?
 please help me quickly
no random links i will report :)
Answer:
B
Step-by-step explanation:
Solve the simultaneous equations x + 3 y = 14
− x + 2 y = 6
Answer: x=2 y=4
Step-by-step explanation: elimination method attached below.
Which linear inequality represents the solution set graphed?
A) y ≥ 4x + 5
B) y > 4x - 5
C) y ≥ 4x - 5
D) y > -4x - 5
Answer:
C
Step-by-step explanation:
first of all since the line is solid then we know that the answer is not D or B.
so it has to be either A or C.
now to graph it let's start with A.
you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.
now let's try with C.
you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.
Let Q be in the interior of angle POR . Use the Angle Addition Postulate to solve for x. Find the measure of each angle.
angle POQ=(1/3x + 1/3)°
angle QOR=(2x+ 4/3)°
angle POR=(5x-1)°
Answer:
X=1
POQ= 1/3x+1/3= 1/3(1)+1/3=2/3
QOR= 2x +4/3= 2(1)+4/3= 10/3
POR= 5x-1= 5(1)-1= 4
Step-by-step explanation:
A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?
Answer:
0.3 pounds
Step-by-step explanation:
[tex]0.5 - 0.2 = 0.3[/tex]
represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width
1. If the square of a number is added to 8 times the number, the result is 100.
Let x be the number.
Equation: x² + 8x - 100 = 0
2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.
Area: 30ft²
Length: 7w
Width: w
Area of a rectangle: LW
(7w)w = 30ft²
Equation: 7w² - 30 = 0
What is the missing value?
Answer:
I guess 5⁴ is Missing value
how many 5 digit numbers can be formed using all the digits 1, 2, 3, 4, and 5, such that the number is odd and greater than 40000?
Answer:
25
Step-by-step explanation:
Find the slope of the line represented by each table of values
Answer:
-5 is the slope
Step-by-step explanation:
Here is the formula
y2-y1
____
x2-x1
5. Use the word bank to complete the sentences below. Write the matching letter next to the correct word that makes that statement true. (5 points)
Answer:
A- x-intercept
B- y-intercept
C- x-coordinate
D- y-coordinate
E- solution
Step-by-step explanation:
Which ordered pair is in the solution set of 2x+y≤−4? Question 6 options: (−2, 2) (2, 2) (−2, −2) (2, −2)
Answer:
-2,-2
Step-by-step explanation:
if you plug the numbers in you get:
(2*-2)+-2≤−4
so that's -4+-2≤−4
which equals -6≤−4
and as always, the bigger the negative number, the less value it has
help!!! math-----
------------
The answer would be B and D because the slope stays consistent throughout the entire table unlike all of the other options.
Find the y-intercept of the line on the graph.
Answer:
The y-intercept is 0
Step-by-step explanation:
The line crosses the y-axis at the center, 0. Therefore the y-intercept is 0.
Answer: -1
Step-by-step explanation:
Is this list of numbers an arithmetic sequence?
18,16,14,12,10,…
Answer:
YesStep-by-step explanation:sequence of numbers such that the difference between the consecutive terms is constant.
the constant is 2 (Ex. 18-2=16-2=14....) and your answer is
yes
What is the slope of the line that goes through the points (9.4) and (3,6)?
(m= ..?)
what other information is needed to prove the two triangles congruent by sas?
Answer:
We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.
Step-by-step explanation:
HOPE IT HELPS :)
Solve each absolute value equation
-4[x] + 10 = 50
[tex]\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}[/tex]
[tex]\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf{ \:the \: value \: of \: x = \: ? } \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex]\textsf{Given equation,}\\[/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
Now, multiply -4 from (x) to get -4x.[tex] \sf{ \Rightarrow \: - 4x + 10 = 50 } \\ [/tex]
Now, +10 will move to RHS then it's sign will be charged -10[tex] \sf{ \Rightarrow \: - 4x = 50 - 10} \\ [/tex]
Subtract 50 from -10 to get 40. Because 50 is greater than -10.[tex] \sf{ \Rightarrow \: - 4x = 40 } \\ [/tex]
[tex] \sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}} \\ [/tex]
[tex] { \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}[/tex]
Owen is fishing. he starts with the bait 2 feet below the water. he reels out the bait 19 feet, then he reels it back in 7 feet. what is the final position of the bait
Answer:
the answer is 14
Step-by-step explanation
the math problem is just 2+19-7 or 21-7
The average in-state tuition in Florida for the 2018- 18 2019 school year was about $13,700. If the tuition is expected to increase by 15%, what is the expected tuition for the 2019-2020 school year?
Mai sold t- shirts at a festival and made a profit of $83. She made $5 for each t-shirts she sold. Her total expenses were. How many t-shirts did she sell
Answer:
21 T-shirts, (this is just a thought of what i think i need to do) Hope it helps
Step-by-step explanation:
I think iv seen this question somewhere so did u forget to put 22?
Here is the explaination if u did...
5T -22 = 83
revenue minus expense = profit
5T = 83+22 = 105
T = 105/5 = 21 T shirts sold