Tony makes an hourly salary of $11.50 for 40 regular hours of work. For any time worked beyond 40 hours, he is paid at a rate of time and a half per hour. Last week, Tony worked 46 hours. Find each of the following for this period. Tony’s gross pay. Social Security Tax (6.2%) Medicare tax (1.45%)
Tony's gross pay for 46 hours of work, including 6 hours of overtime, is $563.50. The Social Security tax on this amount is $34.94, and the Medicare tax is $8.17.
Explanation:Calculating Tony's Gross Pay
Tony's regular pay for 40 hours at an hourly rate of $11.50 is calculated by multiplying the hourly rate by the number of regular hours he worked. Therefore, his regular pay is 40 hours × $11.50/hour = $460. To calculate the overtime pay, we must first determine the overtime rate. The overtime rate is 1.5 times the normal hourly rate, thus the overtime hourly rate is 1.5 × $11.50/hour = $17.25/hour. Tony worked 6 hours overtime, so his overtime pay is 6 hours × $17.25/hour = $103.50. Tony's gross pay is the sum of his regular pay and overtime pay, which is $460 + $103.50 = $563.50.
Calculating Deductions for Social Security and Medicare
The Social Security tax and Medicare tax are calculated as percentages of the gross pay. The Social Security tax at 6.2% of $563.50 is $563.50 × 0.062 = $34.937, which rounds to $34.94. The Medicare tax at 1.45% of $563.50 is $563.50 × 0.0145 = $8.17075, which rounds to $8.17.
In Youngtown the population reach 4420 people in 1993 in 1998 there were 5600 residents what was toe population in the year 2000
what tool or tools would you choose to use to solve this problem?
Answer:
A tool.
Now I just need to put filler so I'm just gonna copy and paste. Now I just need to put filler so I'm just gonna copy and paste.
there is one plane that leaves from the city to the ski resort every hour. the first plane leaves at 10 the last plane leaves at 4 how many planes fly to the resort each day
Start over a triangle prism has a height of 9 in the Triangle base has a base of 3 in in the heights of 8 in find the volume of the prism
paula earned a 56% on her test. If she got 14 problems correct. how many did she get incorrect
A group of students recycled 7 2/3 pounds of glass and 9 3/4 pounds of paper. How many pounds of glass and paper did the students recycle alltogether?
The students recycle 17 5/12 pounds of glass and paper all together.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Pounds of glass recycled = 7 2/3
⇒ Pounds of glass recycled = 23/3
Pounds of paper recycled = 9 3/4
⇒ Pounds of paper recycled = 39/4
Thus, total pounds of glass and paper recycled = Pounds of glass recycled + Pounds of paper recycled
⇒ total pounds of glass and paper recycled = 23/3 + 39/4
⇒ total pounds of glass and paper recycled = 209/12
⇒ total pounds of glass and paper recycled = 17 5/12 pounds
Thus, the students recycle 17 5/12 pounds of glass and paper all together.
To learn more about fractions:
brainly.com/question/445498
#SPJ2
In the eco-garden of a school, the number of aquatic animals is 80% of the number of aquatic plants. There are 162 aquatic plants and animals in all. How many aquatic animals are there in the eco-garden?
Final answer:
By establishing a relationship between the total number of aquatic plants and animals and knowing that animals are 80% of the plants, we can determine that there are 72 aquatic animals in the eco-garden.
Explanation:
To calculate the number of aquatic animals in the eco-garden, we need to first establish the relationship between the number of animals and plants. According to the information, the number of aquatic animals is 80% of the number of aquatic plants. If we denote the number of aquatic plants as 'P' and aquatic animals as 'A', then A = 0.80 × P.
Given that there are a total of 162 aquatic plants and animals, we can represent this as A + P = 162. Since A is 80% of P, we can substitute the first relationship into the second equation, which gives us 0.80 × P + P = 162. Simplifying this, we get 1.80 × P = 162.
To find the value of P, we divide both sides by 1.80 to get P = 162 / 1.80, which yields P = 90. This indicates there are 90 aquatic plants. To determine the number of aquatic animals, we use the relationship A = 0.80 × P, so A = 0.80 × 90, resulting in A = 72.
Therefore, there are 72 aquatic animals in the eco-garden.
(K-4)(k+4)=0 quadratic equation
please help asap. this circle is centered at the origin and the length of its radius is 8. what is the circles equation
Answer: [tex]x^2 + y^2 = 64[/tex]
Step-by-step explanation:
Since, the equation of a circle that having the center (h,k) and radius r is,
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Here the circle is centered at the origin,
That is, h = 0 , k = 0
Also, the radius of the circle is 8,
That is, r = 8 unit,
Thus, the equation of the given circle,
[tex](x-0)^2 + (y-0)^2 = 8^2[/tex]
[tex]x^2 + y^2 = 64[/tex]
How do you do a probability tree? How do you start it? How do I get all my percentages to add up to 100?
Please help guys, this is for a project. I need to know the steps on how to do one or I'll funk the class.
why you just give the question give the question && the answer !!!
Answer:
why you just give the question give the question && the answer !!!
PLEASE HELP The data below shows the scores of some students on a test: 28, 30, 22, 20, 24, 23, 32
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x + 12), [−3, 1]
The absolute maximum and minimum values of the function f(x) = ln(x^2 + 5x + 12) on the interval [-3, 1] are f(1) = ln(18) (maximum) and f(-2) = ln(4) (minimum).
Explanation:
To find the absolute maximum and absolute minimum values of the function f(x) = ln(x2 + 5x + 12) on the interval [-3, 1], we first need to find the critical points of the function within this range. The critical points are those at which the derivative equals zero or does not exist.
The derivative of this function is f'(x) = 2x + 5 / (x2 + 5x + 12). Setting this equal to zero and solving for x, we get the values -1 and -2. Both of these are within our interval, so they are critical points.Next, we evaluate the function at the critical points and at the end points of the given interval. We get f(-3) = ln(6), f(-2) = ln(4), f(-1) = ln(6), and f(1) = ln(18).The absolute maximum value within the interval is ln(18) and the absolute minimum value is ln(4).
Learn more about Absolute Extrema here:https://brainly.com/question/35742409
#SPJ2
The absolute maximum value of f(X) on the interval [-3, 1] is approximately ( 2.890), which occurs at ( x = 1), and the absolute minimum value is approximately (1.749 ), which occurs at ( x = -5/2).
To find the absolute maximum and minimum values of[tex]\( f(x) = \ln(x^2 + 5x + 12) \)[/tex] on the interval [tex]\([-3, 1]\)[/tex], we first need to find the critical points and check the values of the function at those points and at the endpoints of the interval.
1. Find the critical points: Critical points occur where the derivative of the function is zero or undefined.
First, let's find the derivative of (f(x):
[tex]\[ f'(x) = \frac{1}{x^2 + 5x + 12} \cdot (2x + 5) \][/tex]
Setting ( f'(x)) equal to zero:
2x + 5 = 0
x = -5/2
Since this value x = -5/2 lies within the interval [-3, 1], it's a critical point.
2. Check the endpoints and critical point:
[tex]- \( f(-3) = \ln((-3)^2 + 5(-3) + 12) = \ln(9 - 15 + 12) = \ln(6) \)[/tex]
[tex]- \( f(1) = \ln(1^2 + 5(1) + 12) = \ln(1 + 5 + 12) = \ln(18) \)[/tex]
[tex]- \( f\left(-\frac{5}{2}\right) = \ln\left(\left(-\frac{5}{2}\right)^2 + 5\left(-\frac{5}{2}\right) + 12\right) = \ln\left(\frac{25}{4} - \frac{25}{2} + 12\right) = \ln\left(\frac{25 - 50 + 48}{4}\right) = \ln\left(\frac{23}{4}\right) \)[/tex]
3. Compare the values:
- ln(6) = 1.792
- ln(18) = 2.890
- [tex]ln\left(\frac{23}{4}\right)[/tex] = 1.749
So, the absolute maximum value of f(X) on the interval [-3, 1] is approximately ( 2.890), which occurs at ( x = 1), and the absolute minimum value is approximately (1.749), which occurs at ( x = -5/2).
x-1/x-1=1
Solve the equation.
These are fractions
A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger go?
Final answer:
To find out how far south the jogger went, we use the Pythagorean theorem. Given the distances of 1.5 km west and 1.7 km from the start, the jogger went 0.8 km south.
Explanation:
To determine how far south the jogger went, we can use the Pythagorean theorem, as the jogger's path forms a right-angled triangle where one leg of the triangle is the distance west, the other leg is the distance south, and the hypotenuse is the distance from the starting point.
The question states the jogger goes 1.5 km west and ends up 1.7 km from the starting point. We denote the distance travelled south as y. According to the Pythagorean theorem:
west^2 + south^2 = distance from start^2
y = √0.64
y = 0.8 km
So the jogger went 0.8 km south.
Farmer Ed has 7000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?
Width = 2x
Length = 7,000-2x
3,072 c= _______ gal
WRITE THE expression in complete factored form 2y^2(p-4)-7(p-4)
expand in logarithmic expression
Robert planted 24 daffodil bulbs and 36 tulip bulbs in his guarden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Roberts guarden? Expressed as a simplified ratio.
The ratio of tulips to daffodils in Robert's garden is 3:2. This is obtained by dividing the number of tulips by the number of daffodils (36/24), and simplifying the result.
Explanation:This problem pertains to ratios. Given that Robert planted 24 daffodil bulbs and 36 tulip bulbs, the ratio of tulips to daffodils is obtained by dividing the number of tulips by the number of daffodils. Thus, the ratio is 36/24. This simplifies to 1.5 when expressed as a decimal. However, we need the ratio in its simplest form, so let's convert 1.5 into a whole number. By multiplying both numbers by 2, we get the ratio 3:2. Therefore, the ratio of tulips to daffodils in Robert's garden is 3:2
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ2
in an experiment, the control variable is r and the response variable is s. which variable is not manipulated, but measured, and represents the data being recorded
Control variable r is not manipulated, but measured and represents the data being recorded.
What is mean by Variables?
A variable is a value that can change, depending on information.
Given that;
In an experiment, the control variable is r and the response variable is s.
Now,
Control variable is a variable that's always constant in an experiment.
It is not a variable of interest in the study, but its controlled because it could influences the outcomes.
Thus, Control variable r is not manipulated, but measured and represents the data being recorded.
Learn more about the control variable visit:
https://brainly.com/question/1884866
#SPJ5
Factor completely. y2 - xy - 56x2
Answer:
(y - 8x) (y + 7x)
Step-by-step explanation:
This person's videos helped me out so much with questions like these.
Brian McLogan -
1) Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2
2) Learn How to Factor a Trinomial in Your Head When a is not Equal to One
I'm not paid to do this, I genuinely recommend you watch these two videos, because it helped me tremendously when I once did a question like this.
Have a blessed day!
A hand-operated conduit bender with a shoe for bending 1-inch EMT can also be used to bend
A. 1-inch IMC.
B. 3/4 inch IMC.
C. 1/2 inch EMT.
D. 1-inch rigid conduit.
what multiplication problem does the model show? And why? please explain.
A multiplication problem shows the process of calculating the product when one number is multiplied by another. This can be represented using an array model, an area model, or a multiplication sentence. Specific representation will depend on the model provided.
Explanation:In mathematics, a multiplication problem represents the process of finding the product or result when one number is multiplied by another.
However, without a specific model being given in the question, providing a precise answer becomes challenging. In general terms, a multiplication model could be in the form of an array, an area model, or a multiplication sentence. To understand this better, let's illustrate with an example.
An array model of multiplication might show 4 rows of 3 blocks, representing the problem 4 x 3 = 12.An area model could show a rectangle partitioned into smaller parts, with each representing a multiplication fact.A simple multiplication sentence like 2 x 5 = 10, represents the multiplication fact directly.In all the cases, the multiplication problem is demonstrating how to find the product of two numbers or quantities.
Learn more about Multiplication Problem here:https://brainly.com/question/34349693
#SPJ11
(5a-5)(2a+2)
Find each product
Jane has 312 feet of fencing to use to enclose a rectangular garden. She wants the garden to be 5 times as long as it is wide. What are the dimensions of the garden
NEED HELP FAST PLEASE
Evaluate the limit.
a.4
c.1
b.2
d.limit does not exist
Chord SR intersects tangent AB to form ∠SRA. Find m∠SRA.
A. m∠SRA = 40°
B. m∠SRA = 80°
C. m∠SRA = 100°
D. m∠SRA = 140°
Answer:
C.
Step-by-step explanation:
solve |3z-7|-4=0,|1- 3k/4|=7 plz
thx
Q #9. find the volume of the sphere