Answer:
Step-by-step explanation:
From the given question:
a) The piecewise function for the Social Security tax s(x) is expressed as:
s(x) = x * 6.05% when x < $17,700
The 6.05% of the given amount is:
= (6.05/100) * 17700
= 1070.85
s(x) = 1070.85 when x ≥ $17,700
b) Ten years later, i.e. 1988; the percentage had increased to 7.51% & maximum taxable income also increased to $45000
The piecewise function for the Social Security tax s(x) is expressed as:
s(x) = x * 7.51% when x < $45,000
The 7.51% of the given amount is:
= (7.51/100) * 45000
= 3379.5
s(x) = 3379.5 when x ≥ $45,500
c) The difference in the Social Security and Medicare taxes paid is as follows:
In 1978, s(x) = 1070.85 when x ≥ $17,700
In 1988, s(x) = 3379.5 when x ≥ $45,500
The difference in the Social Security and Medicare taxes paid = $3379.5 - $1070.85
The difference in the Social Security and Medicare taxes paid = $2308.65
In 1988 $ 1,578.65 less was paid than in 1978.
Given that in 1978, the Social Security and Medicare rate combined was 6.05%, up to $ 17,700 earned, while ten years later, the percent had increased to 7.51% and the maximum taxable income had increased to $ 45,000, to determine, if a person earned $ 50,000 in 1978, and $ 50,000 in 1988, what was the difference in the Social Security and Medicare taxes paid, the following calculations must be performed:
(50,000 - 17,700) x 0.0605 = year 1978 1,954.15 = year 1978 (50,000 - 45,000) x 0.0751 = year 1988 375.50 = year 1988 year 1978 - year 1988 = 1,578.65
Therefore, in 1988 $ 1,578.65 less was paid than in 1978.
Learn more in https://brainly.com/question/20594276
a. When x= -1, what is the value of y?
b. When y= 7, what is the value of x?
c. What is the y-intercept of the graph?
d. What is the x-intercept of the graph?
e. What is the slope of the line?
f. What is the equation of the line?
Answer:
When x=-1, y=3; when y=7, x=1; the y-intercept is 5; the x-intercept is 2.5; the slope is 2; the lines' equation is y=2x+5
Step-by-step explanation:
The first two answers can be easily interpreted by looking at the graph. For the next two, remember, the x-intercept is the point where the line touches the x-axis and the y-intercept is the point where the line touches the y-axis. For question e, the slope can be calculated by plugging the two coordinates from the first two questions, (-1,3) and (1,7), into the formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] or by using the graph to count the slope. The equation of the line is written in slope-intercept form, y=mx+b. Here, m is the slope and b is the y-intercept. Plug in these values that you already found while answering the previous questions and you have the answer.
what is k in 1/4k = 3 (-1/4k + 3)?
Answer:
k = 9
Step-by-step explanation:
1/4k = 3(-1/4k + 3) distribute
1/4k = -3/4k + 9
+3/4k +3/4k Add
k = 9 Answer
A recent study suggests that men are more likely to go to a social media channel to compare prices of products than women at a ratio of 6:5 complete the chart, graph the data, and write the equation that models this proportional relationship
Answer:
just graph it 6 women to 5 men so put that on a graph?
Step-by-step explanation:
Question is in image answer question 1
Answer:
y = -6x -8
Step-by-step explanation:
4 = -6(-2) -8
4 = 12-8
4 = 4
The explaination above shows how to verify your answer.
Hope this helps u!
if a polygon is translated, which of the following characteristics of the polygon are the same?
A side length
B area
C the coordinates of the vertices.
the following characteristic of the polygon that are the same are A SIDE LENGTH AND B AREA
Translation is a rigid transformation.
The characteristics that will remain the same are: (a) side length and (b) area
When a polygon is translated, the polygon undergoes a rigid transformation.
A rigid transformation does not change the side length and angle of a shape.
The side lengths of the polygon would remain unchanged.Since the side lengths are not altered, then the area of the polygon will also remain unchanged.However, the coordinates would change; because the polygon would change its position after translation.
Hence, the correct options are:
(a) and (b)
Read more about translations at:
https://brainly.com/question/12463306
What is the measure of angle A'B'C?
All Angles Added: 180
Measures of Idiviudual Angles
A=70 C=70 B=40
-------------------------------------------------------------------------------
Step-by-step explanation:
All angles of a triangle when combined must equal 180 degrees.
Since the triangle is an isosceles triangle, at least 2 sides must be congruent meaning that A=C since the triangle is not equilateral.
Brian has reduced his cholesterol level by 8% after his last check up. If his original level was 260, what is his approximate cholesterol level now?
On Olga's 16th birthday, her uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly. How much will Olga have in the account when she turns 18? Round to the nearest cent.
Answer:
$2070.6Step-by-step explanation:
Step one:
given data
principal p= $2000
Rate r= 1.75% = 0.0175
time t= 18-16= 2years
Required
The final amount of the compounded principal
The compound interest formula is
A=P(1+r)^t
A=2000(1+0.0175)^2
A=2000(1.0175)^2
A=2000*1.0353
A=2070.6
The account when she turns 18 will be $2070.6
Find the value of:
a) x2 when x = 6
b) y2 when y= -9
c) z2 when z = 0.7
Step-by-step explanation:
(a)= 6×2= 12
(b)= -9×2=-18
(c)= 0.7×2=1.4
find x if 2^(3x-1)=128√5
Answer:
i think its x=6
Step-by-step explanation:
Evaluate the expression when c= -6.
c^2+ 7c+8
Answer:
2
Step-by-step explanation:
1. Substitute c with -6... so the equation would be -6^2 + 7(-6) + 8
2. Simplify... so -6^2 is 36 because when you square something you times it by itself and two negatives multiplied together equals a positive so -6*-6=36 then 7*-6 is -42 because a positive multiplied by a negative is always a negative
3. So now you have 36 + -42 + 8 or 36 - 42 +8 because an when adding a negative it’s basically just like subtracting because they cancel out
4. So when you simplify it’s simply it’s simply 2 because 36-42 is -6 added by 8 is 2
Sorry if this was confusing I’m really bad at explain gm but hope this helps :)
Hey there!
c^2 + 7c + 8
= -6^2 + 7(-6) + 8
= -36 - 42 + 8
= -78 + 8
= -70
Therefore, your answer is: -70
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Dan noticed that each of the four times he ate a hamburger and shake at a fast food emporium, he got a poor grade on a Spanish test that day. He conjectures that he should eat only Mexican food on the day of a Spanish test.
Poor or good inductive reasoning explain why?
Answer:
That is poor reasoning
Step-by-step explanation:
There is no evidence that because he ate a burger that he will get a good grade. He just sucks at Spanish. He should study more.
Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay.
Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
C. f(x) = 0.5x + 1
D. f(x) = x + 18
Answer:
A: f(x)=10x+8
What is the slope of y=x+5?
Answer:
1
Step-by-step explanation:
since the formula is
y=x+5 and x is the slope
1 is the slope
Answer:
the slope is 1 and the y intercept is 5
PLEASE ANSWER QUICK A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $25 and each pair of sweatpants costs $21. Write an algebraic expression to represent the total cost if x players want sweatshirts and y players want sweatpants.
Answer:
25x+ 21y
You multiply x by sweatshirts and y by sweatpants
Step-by-step explanation:
I don't know what sport your talking about or how many people are on the team so im not really sure but hete
⚠️⚠️ DONT IGNORE ⚠️⚠️
1. How many miles does scooter A get for one gallon of gas
2. How many miles does scooter B get for one gallon of gas
Answer:
scooter A= 75 scooter b= 90
my head is HURTINGG and I cannot do this
put these decimals in order
3.5
14.2
4.37
10.4
17.86
8.93
Answer:
I think you didn't specify what order this decimals you want to be so:
If you want these to be in ascending order (lowest to highest), then:3.5, 4.37, 8.93, 10.4, 14.2 and 17.86.If you want these to be in descending order (highest to lowest), then:17.86, 14.2, 10.4, 8.93, 4.37 and 3.5.Hope this helps and if you could mark me as brainliest. Thanks!
Can someone help me?
Answer: 17=2/9 and 16=3.6
Step-by-step explanation:
Please a need the answer and the solution please
Answer:
Step-by-step explanation:
To find the first table y = 4x + 2, to find each y value we have to substitute each x value into the equation.
4(-2) + 2 = -6 so -2 is going to have the y as -6
4(-1) + 2 = -2 so -1 is going to have the y as -2
4(0) + 2 = 2 so 0 is going to have the y as 2
4(1) + 2 = 6 so 1 is going to have the y as 6
4(2) + 2 = 10 so 2 is going to have the y as 10
So these are the points you would graph (-2, -6), (-1, -2), (0, 2), (1,6), and (2, 10)
For the next talbe y = 3x + 1 we do the same thing
3(-2) + 1 = -5 so -2 is going to have the y as -5
3(-1) + 1 = -2 so -1 is going to have the y as -2
3(0) + 1 = 1 so 0 is going to have the y as 1
3(1) + 1 = 4 so 1 is going to have the y as 4
3(2) + 1 = 7 so 2 is going to have the y as 7
The ooints to graph are (-2, -5), (-1, -2),(0,1), (1, 4) and (2,7)
For the next table y = 6x - 5
6(-2) - 5 = -17 so -2 is going to have the y as -17
6(-1) - 5 = -11 so -1 is going to have the y as -11
6(0) - 5 = -5 so 0 is going to have the y as -5
6(1) - 5 = 1 so 1 is going to have the y as 1
6(2) - 5 = 7 so 2 is going to have the y as 7
The points to graph (-2, -17), (-1, -11), (0, -5), (1, 1) and (2, 7)
For the next table y = 5 + 2x
5 + 2(-4) = -3 so -4 is going to have the y as -3
5 + 2(-2) = 1 so -2 is going to have the y as 1
5 + 2(0) = 5 so 0 is going to have the y as 5
5 + 2(3) = 11 so 3 is going to have the y as 11
5 + 2(5) = 15 so 5 is going to have the y as 15
(-4, -3), (-2, 1), (0, 5), (3, 11) and (5, 15)
For the next table y = 8x - 10
8(-4) - 10 = -42 so -4 is going to have the y as -42
8(-2) - 10 = -26 so -2 is going to have the y as -26
8(0) - 10 = -10 so 0 is going to have the y as -10
8(2) - 10 = 6 so 2 is going to have the y as 6
8(4) - 10 = 22 so 4 is going to have the y as 22
(-4, -42), (-2, -26), (0, -10), (2, 6) and (4, 22)
For the last table
2(-2) = -4 so -2 is going to have the y as -4
2(-1) = -2 so -1 is going to have the y as -2
2(0) = 0 so 0 is going to have the y as 0
2(-1) = -2 so -1 is going to have the y as -2
2(-2) = -4 so -2 is going to have the y as -4
(-2, -4), (-1, -2), (0, 0), (-1, -2) and (-2, -4)
At the museum, there were 4,050 students in attendance from a total
of 15 different school districts. What was the average attendance from
each school district?
First to Answer:
270
Step by step
4050/15 = 270
Im not certain its 270 So i'd wait for another answer to confirm! Let me know if its correct or not!
alabama power came by my house that i just bought and installed a new wire support for one of the telephone poles on the property the electrical code says that the support must hit the ground at a 55 degree angle. if the telephone pole is 25 feet tall how long is the wire support that alabama power just installed
Answer:
30 feets
Step-by-step explanation:
subtrqct 55-25 = 30
Write an equation in standard form with an x-intercept of 4 and a y-intercept of 5
-3(x + 5) = 6 - 3(2x + 4) solve for x and show work
Answer:
-3
Step-by-step explanation:
-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 3(2x + 4)
-3x - 15 = 6x + 12
+3x +3x
-15 = 9x + 12
-12 -12
-27 = 9x
-------------
9
x = -3
If 3 < 1 - x, what is value for x
Answer:
x < -2
Step-by-step explanation:
PLZ HELP, ILL GIVE BRAINLIEST
Solve for x: one over eight (8x + 15) = 24
9
49
one hundred seventy-seven over eight
two hundred seven over eight
Answer: 177/8
Step-by-step explanation: Step 1: Simplify both sides of the equation.
1
8
(8x+15)=24
(
1
8
)(8x)+(
1
8
)(15)=24(Distribute)
x+
15
8
=24
Step 2: Subtract 15/8 from both sides.
x+
15
8
−
15
8
=24−
15
8
x=
177
8
Answer:
The person above is correct i got it right on my quiz. :)
Step-by-step explanation:
Jakob is asking to simplify the expression -3a + 4b + 5a + (-7b).
He writes: -3a + 4b + 5a + (7b) = -3a + 5a + 4b + (7b).
Which property allows him to do this?
A. the associative property
B. the commutative property
C. the distributive property
D. the additive identity property
Answer:
B. Commutative
Step-by-step explanation:
He can do that because it's a sum
Answer:B
Step-by-step explanation:
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being very satisfactory" This number represented 45% of the total number of customers who took
the survey
What was the total number of customers who took the survey?
A 189
B 65
C 99
D 320
Answer:
D
Step-by-step explanation:
Can someone help with this question?
What is the solution to the equation 3/5(y-5) = - (y+3) +2
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Given expression:
[tex]\frac{3}{5}[/tex](y - 5) = - (y + 3) + 2
To solve this problem, multiply both sides by 5;
5 x [tex]\frac{3}{5}[/tex](y - 5) = 5[-(y + 3) + 2}
3(y - 5) = 5(-y - 3 + 2)
expand,
3y - 15 = 5(-y -1)
3y -15 = -5y - 5
Collect like terms;
3y + 5y = -5 + 15
8y = 10
y = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]
Sandra has $60 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
Answer:
$3 or 300 cents.
Step-by-step explanation:
She has 60 dollars in the savings account, and the interest rate is 5%, so you do 60*1.05 and get 63.
Jenny is having a party. She has one
large container of soda with 179
ounces in it. A second container holds
128 ounces, but half of it has already
been used. If there are 12 people at
the party, how much soda can each
person have?