Answer:
54
Step-by-step explanation:
You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.
In 1978, the Social Security and Medicare rate combined was 6.05%, up to $17,700 earned. Express the Social Security tax s(x) for 1978 as a piecewise function. Ten years later, the percent had increased to 7.51% and the maximum taxable income had increased to $45,000. Express the Social Security tax s(x) for 1988 as a piecewise function. 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?
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.
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3.The school principal spent $2,000 to buy some new computer equipment.
Of this money, $120 was used to buy some new keyboards. What percent
of the money was spent on keyboards?
Answer:
6%
Step-by-step explanation:
120 / 2000 = 0.06
Move the decimal two places to the right to go from decimal to percentage, and you get 6, or 6%
WILL GIVE BRAINLIEST!!!
Determine which value does not belong. explain your decision. there is more than one possible answer.
1/20
20/25
2/3
5/4
Answer:
2/3
Step-by-step explanation:
1/20 -0.05
20/25 -0.8
2/3 -0.6666666666
5/4-1.25
Which equation below and value for x fits this model?
A)
2x = 30, x = 15
B)
2x = 6, x = 2
C)
2x = 6, x = 3
D)
x + x = 6, x = 1.5
Answer: I wanna say it's B
Step-by-step explanation: but I'm not completely sure.
NEED HELP ASAP. (question in picture below)
Answer:
12
Step-by-step explanation:
bye
An angle measures 48° more than the measure of its complementary angle. What is the
measure of each angle?
Answer:
The angles measure 21 degrees and 69 degrees.
Step-by-step explanation:
Complementary angles have a sum of 90 degrees when added together.
Let's call the complementary angle x. We can write the angle that we're looking for as in terms of x as x + 48.
Since these angles must sum to 90 we can write the equation and solve:
x + x + 48 = 90
2x + 48 = 90
2x + 48 - 48 = 90 - 48
2x = 42
x = 21
x + 48 = 69
21 degrees and 69 degrees.
Answer:
69° and 21° is the answer.
Compare the following rational numbers with > or <..
-7.56 _____ -5.76
Answer:
<
Step-by-step explanation:
-7.56 < -5.76
what is the answer to 4w^4+w^4+3w^2-2w^2
Answer: 5w⁴ + w²
Step-by-step explanation: Pic is attached. Hope this helps. Sorry for bad handwriting, Im writing with a mouse.
Given the replacement set:
b={4.4, 5.4, 6.4}
Which inequality is true?
b−6>10.4
b+6<10.4
b−8≥12.4
b+8≥12.4
Answer:
b+8≥12.4
Step-by-step explanation:
Here, we want to select the correct option
From what we have here;
b ≥12.4-8
b ≥ 4.4
Looking at the range of values in the set
We can see that the smallest of values is 4.4
This tells exactly the correctness of the last option as the values of b are 4.4 or greater
can u rewrite these expressions s for me plz!!
Rewrite the following equation in slope-intercept form.
4x + y = 18
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y= -4x+18
Step-by-step explanation:
the answer is x=y/4+9/2 when solving for x
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whats the partial products for 15x32
Answer:
160 & 320
Step-by-step explanation
using the slope formula find the slope of the line that passes through these points (3,7) and (3,5)
Answer:
Undefined
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ]
5-7/3-3
-2/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
M is the amount of money the students collect for selling R raffle tickets. Write an equation that reflects the relationship between M and R?
Answer:
M=24/10R
Step-by-step explanation:
Isabel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation in point-slope form of the line that represents the height of the bucket relative to the top of the well?
Answer:
The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is [tex]y + 1 = 4\cdot (t-1)[/tex].
Step-by-step explanation:
The point-slope form of the equation of the line is represented by the following expression:
[tex]y - y_{o} = m\cdot (t-t_{o})[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]y[/tex] - Height below the top of the well, measured in feet.
[tex]t_{o}[/tex], [tex]y_{o}[/tex] - Known information of the well, measured in seconds and feet, respectively.
[tex]m[/tex] - Slope, measured in feet per second.
If we know that [tex](t_{o},y_{o}) = \left( 1\,s, -1\,ft\right)[/tex] and [tex]m = 4\,\frac{ft}{s}[/tex], then the equation in point-slope form of the line is:
[tex]y + 1 = 4\cdot (t-1)[/tex]
The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is [tex]y + 1 = 4\cdot (t-1)[/tex].
The float committee made a scale model of their float before they started construction. The float committee used the scale 1 inch: 3 feet to create their model. The actual float will be 18 feet long. What is the length of the scale model float in inches? Enter your answer in the box.
Answer: The float committee made a scale model of their float before they started construction. The float committee used the scale 1 inch : 3 Feet to create their model. The actual float will be 18 feet long.
So this being said.
Step-by-step explanation:
Your answer should be 6 inches. I hope this helps!
The length of the scale model of the float is required.
The length of the scale model would be 6 inches.
Scale diagramsIt is given that one inch of the scale model of the float is three feet of the actual float.
[tex]1\ \text{inch}=3\ \text{feet}[/tex]
Now, what 1 feet of the float represents in the scale model is required.
So, we divide both sides by 3
[tex]1\ \text{feet}=\dfrac{1}{3}\ \text{inch}[/tex]
The length of the actual float is 18 feet.
[tex]18\ \text{feet}=18\times \dfrac{1}{3}=6\ \text{inches}[/tex]
Learn more about scale diagrams:
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A hockey game is 60 minutes. Colin plays 12 minutes. Which ratio represents Colin’s playing time compared to the total number of minutes of playing time possible?
Answer:
60 t0 12, or 1:5, or 1/5
Step-by-step explanation:
Which is greater? 1/3 of a box of Fruit Loops or 50% of a box of Fruit Loops
Answer:
50% Of a box of fruit loops
Step-by-step explanation:
50% means 1/2
1/2 is more than 1/3
1/2 is 1/6 more than 1/3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
50% box of fruit loops
Step-by-step explanation:
a 32-ounce package of snack mix is 24 percent pretzels. how many ounces are pretzels
If 24 percent of the snack mix is pretzel, we simply need to multiply the total number of ounces by 0.24.
0.24 x 32 = 7.68
7.68 ounces of the snack mix will be pretzels.
Answer:
answer is D.
you multiply 32 x .24 = 7.68oz
Step-by-step explanation:
the way you solve this question
32 x .24%= 7.68 oz
make sure you place your decimal place to spaces to your left!
hope this helps!
If y = 8 when x = 3, find y when x = 45.
solve correctly please and thanks
Answer: 15
Step-by-step explanation:
Answer:
Y would equal 120
When you divide 45 by 3, you get 15.
15×8 = 120.
To check if this is right, divide 8 by 3 and 120 by 45. You'll get the same answer.
I will give you brainiest if you can answer the questions below.
An arc AB subtends an angle of 2.4 radians at the center O of a circle with radius 50 cm. Find the area and perimeter of sector AOB.
The bottom of a pendulum traces an arc 3 feet in length when the pendulum swings through an angle of ½ radian. What is the number of feet in the length of the pendulum?
Answer:
a. i. 3000 cm² ii. 220 cm b. 6 feet
Step-by-step explanation:
A. i. The area of the sector AOB is A = ¹/₂r²θ where r = radius of circle = 50 cm and θ = angle subtended at the center of the circle by the sector in radians = 2.4 radians.
So, A = ¹/₂r²θ
= ¹/₂(50 cm)² × 2.4 rad
= ¹/₂ × 2500 cm² × 2.4 rad
= 1250 cm² × 2.4 rad
= 3000 cm²
ii. The perimeter of the sector is P = 2r + rθ = (2 + θ)r
substituting r and θ, we have
P = (2 + θ)r
= (2 + 2.4) × 50 cm
= 4.4 × 50 cm
= 220 cm
B. Since length of an arc L = rθ where r = radius = length of pendulum and θ = angle swept by pendulum = ½ radian and length of the arc swept = 3 feet, the radius is
r = L/θ
= 3 feet ÷ ½ rad
= 3 × 2
= 6 feet
An employee’s hourly raise went up from $11 per hour to $16 per hour. What is the rate of increase? Round to the nearest percentage.
Answer:
45%Step-by-step explanation:
Step one:
given data
intial pay= $11 per hour
final pay= $16 per hour
Required
% increase
Step two:
%increase= final-initial/initial*100
substitute
%increase= 16-11/11*100
%increase=5/11*100
%increase= 0.45*100
%increase= 45%
Hence the percent raise is 45%
90% of the seniors at Richmond high school will attend the school prom. If 270 seniors attend
the prom, how many seniors go to the high school?
Answer:
243
Step-by-step explanation:
make 90% into a decimal
0.9
multiply 270 by 0.9 to get the answer of 243
A salesman drove from his home to a nearby city at an average speed of 40 mi/h. He returned home at an average speed of 50 mi/h. What was his average speed for the entire trip?
Answer:
44.44 mph
Step-by-step explanation:
[tex]speed = \frac{distance}{time} = \frac{distanceTo + distanceFrom}{time1 + time2} = \frac{2d}{\frac{d}{40} + \frac{d}{50} }[/tex]
= [tex]\frac{2d}{\frac{5d + 4d}{200} } = \frac{2d}{\frac{9d}{200} }[/tex]
= 2d * [tex]\frac{200}{9d}[/tex]
= 400 / 9
= 44.44
Answer:
44.4 miles per hour
Step-by-step explanation:
d = the distance between cities
t 1= the time from home to the city
t 1 = the time . from the city to home
2d/t1 + t2 = 2d/ d/40 + d/50
=2d/5d+4d =2d/9d
divide both sides by 200
=2d * 200/9d =400/9
= 44.4
What is the value of x when 3x=54?
A) x=18
B) x=51
C) x=57
D) x=162
Answer:
18
Step-by-step explanation:
54 ÷ 3 = 18
................
PLZ HELP!!!
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a
missing piece. You may choose to write a problem that is two- or three-dimensional in nature.
Be sure that you will be able to draw a diagram of your scenario. Be sure to end your scenario
with a question. (Example: There is a bike ramp that measures 3 feet tall and 4 feet wide. What
is the slant length of the ramp?)
Answer:
Step-by-step explanation:
A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder. Hope this helps.
what is the product of (3x + 2) and (x - 7)
Answer:
[tex]3x^{2}[/tex]-19x-14
Step-by-step explanation:
Just distribute. It's simple
Answer:
3x² -19x - 14
Step-by-step explanation:
3x ( x-7) +2 ( x-7)
3x² -21x + 2x - 14
3x² -19x - 14
Hope you got it.
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evaluate 3(c+d) if c = 8 and d = -5
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3(c + d)
c = 8
d = -5
Step 2: Evaluate
Substitute: 3(8 - 5)Subtract: 3(3)Multiply: 9- 65 degrees
- 73.62 degrees
- 41.38
which one is the right answer ?
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Answer:
0.149> 0.128
Step-by-step explanation:
Hope this helps!