Goran's monthly salary would be $3963.49
In this problem, the Annual salary or his Gross Salary is $63,000 and annual deductions for his salary which includes taxes & health insurance is $15,438.12 annually. The formula to calculate the Net salary is :
=> Net Salary = Gross Salary - Deductions
By the formula mentioned above, we can calculate Goran's Net salary which he gets Annually. Here, Gross = $63,000, Deductions = $15,438.12 :
=> Net = 63,000 - 15438.12 => Net Salary = 47,561.88
Goran gets a Net Salary of $47,561.88, Now we have to calculate the equal amount of paychecks he will receive monthly for 12 months.
Monthly Paycheck = Net/12 => 47561.88/12 => $3963.49
Hence, Goran's monthly paycheck will be $3963.49
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3 argumentos silogistas
Answer:
Step-by-step explanation:
What is the value of sinD?
The value of sin(D) is 7/25 after the application of the Pythagoras theorem.
What is a Pythagoras theorem?The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It claims that the hypotenuse's square length, which is the side that faces the right angle, is equivalent to the total of the squares of the lengths of the other two sides in a right triangle. The theorem can be formulated mathematically as:
c² = a² + b²
where, even the lengths for the remaining two sides (the legs) of the right triangle are a and b, and c is the length of the hypotenuse.
The Pythagorean theorem may be employed to determine the triangle's third side's length:
DE²= FD² + EF²
25² = 24² + EF²
625 = 576 + EF²
EF² = 49
EF = 7
Now, we can use the definition of sine to find sin(D):
sin(D) = opposite/hypotenuse = EF/DE = 7/25
Therefore, the value of sin(D) is 7/25.
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a survey of 395 children given at a local elementary school showed that 175 like chocolate ice cream, 125 like pistachio ice cream, and 170 do not like chocolate or pistachio ice cream. how many children like at least one kind of ice cream mentioned in the survey?
The number of children who like both pistachio and chocolate ice cream is 73.
Here we have to find at least one kind of ice cream liked by the children.
It is given that the total number of children is 395. The number of children who don't like any ice cream is 170.
So we get the number of students who like one or both the ice cream is 395 - 170 = 225.
Here it is provided that 123 children like pistachio ice cream and 175 children like chocolate ice cream.
So the total number of children who like pistachio and chocolate ice cream is 175+ 123 = 298. Which cannot be greater than 225.
So the number of children who like both ice creams is 298 - 225 = 73.
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a bottle of soap cost 3.45 for 15 ounces. what is the cost per ounce?
Answer:
Step-by-step explanation:
15 divided by 15 is 1
3.45 divided by 15 is 0.23
The cost per ounce is 23 cents, or $0.23
que es una fraccion decimal
Step-by-step explanation:
listo ya está escribo esto sólo por que braynli no me deja subir la respuesta si no tiene mas de 20 palabras
Sabrina is ordering a custom circular glass table for her dining room. The tables are ordered based on the area of the tabletop, and the diameter of every tabletop is a whole number. She wants a table with enough room for at least 6 people and wants each person to have at least 5 feet of table edge space, so that it is not too crowded.
The minimum tabletop diameter Sabrina should order is feet.
The minimum tabletop area of the table Sabrina should order is square feet.
Answer:
Sabrina should make the diameter at least 30 feet.
I hope this helps/helped and could I get brainliest?? :) :)
Answer:
minimum diameter is 10 and minimum area is 78.5 (almost positive this is right might not be but it probably is)
1. Evaluate the integral and write your answer in simplest fractional form: ∫_0^1 5x3/(√x4+24) dx
2. Evaluate the indefinite integral: ∫▒〖x sin(8x)dx 〗
(1) The integral evaluation is (25/2) - (5√24)/2..
(2) The value of indefinite integral is (-x/64) cos(8x) + (1/512) sin(8x) + C
(1) The value of the integral ∫_0^1 5x^3/(√(x^4+24)) dx, evaluated over the interval [0, 1], can be written in the simplest fractional form as (5√5 - 5)/4.
To evaluate the integral ∫[0,1] 5x^3/(√(x^4+24)) dx, we can use substitution to simplify the expression.
Let's substitute u = x^2 + 24, then du = 2x dx.
To convert the limits of integration, when x = 0, u = (0^2 + 24) = 24, and when x = 1, u = (1^2 + 24) = 25.
Now, let's rewrite the integral in terms of u:
∫[0,1] 5x^3/(√(x^4+24)) dx = ∫[24,25] 5x^3/(√u) * (1/2x) du
Simplifying further:
= (5/2) ∫[24,25] (x^2)/(√u) du
= (5/2) ∫[24,25] (1/2) u^(-1/2) du
Using the power rule for integration, we can integrate u^(-1/2):
= (5/2) * (1/2) * 2 * u^(1/2) evaluated from 24 to 25
= (5/2) * (1/2) * 2 * (25^(1/2) - 24^(1/2))
= (5/2) * (1/2) * 2 * (√25 - √24)
= (5/2) * (1/2) * 2 * (5 - √24)
= (5/2) * (5 - √24)
= (25/2) - (5√24)/2
Therefore, the value of the integral ∫[0,1] 5x^3/(√(x^4+24)) dx is (25/2) - (5√24)/2.
(2) To evaluate the integral ∫x sin(8x) dx, we can use integration by parts. Integration by parts is a technique based on the product rule for differentiation, which allows us to rewrite the integral in a different form.
The integration by parts formula is given by:
∫u dv = uv - ∫v du
Let's choose u = x and dv = sin(8x) dx. Then, du = dx and v can be found by integrating dv:
v = ∫sin(8x) dx = -(1/8) cos(8x)
Using the integration by parts formula, we have:
∫x sin(8x) dx = uv - ∫v du
= x * (-(1/8) cos(8x)) - ∫(-(1/8) cos(8x)) dx
Simplifying further:
= -(1/8) x cos(8x) + (1/8) ∫cos(8x) dx
To find the integral of cos(8x), we can integrate term-by-term:
= -(1/8) x cos(8x) + (1/64) sin(8x) + C
Therefore, the indefinite integral of x sin(8x) dx is -(1/8) x cos(8x) + (1/64) sin(8x) + C, where C is the constant of integration.
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A cylinder has volume 111 cm 3 What is the volume of a cone with the same and height in cubic centimeters?
Answer:
the answer is 35cm^3 hope this helped
Step-by-step explanation:
Please help!!!! The length of a rectangular garden is 3 yards more than its width. The perimeter of the garden is 36 yards. What are the width and length of the garden?
May someone help me please?
Write the answer in simplest form.
2 2/3 ×4/5=
Answer:
Step-by-step explanation:
8/3 *4/5
32/15
need helpp pls i don't know how to do it.
Answer:
The value of angle QXS is;
\(m\measuredangle QXS=40^0\)Explanation:
From the given diagram in question 1:
We can see that angle QXT equals the sum of angle SXT and angle QXS;
\(m\measuredangle QXT=m\measuredangle SXT+m\measuredangle QXS\)Given in the question is the value of angle SXT and angle QXS;
\(\begin{gathered} m\measuredangle SXT=4x+1 \\ m\measuredangle QXS=2x-2 \end{gathered}\)Substituting the values into the equation above;
\(\begin{gathered} m\measuredangle QXT=m\measuredangle SXT+m\measuredangle QXS \\ m\measuredangle QXT=4x+1+2x-2 \\ m\measuredangle QXT=4x+2x+1-2 \\ m\measuredangle QXT=6x-1 \end{gathered}\)Since angle QXT is equal to 125 degree, then;
\(\begin{gathered} m\measuredangle QXT=6x-1=125 \\ 6x-1=125 \\ 6x=125+1 \\ 6x=126 \\ \frac{6x}{6}=\frac{126}{6} \\ x=21 \end{gathered}\)We can now substitute the value of x to get the value of angle QXS;
\(\begin{gathered} m\measuredangle QXS=2x-2 \\ m\measuredangle QXS=2(21)-2 \\ m\measuredangle QXS=42-2 \\ m\measuredangle QXS=40^0 \end{gathered}\)Therefore, the value of angle QXS is;
\(m\measuredangle QXS=40^0\)at a post office always charges a flat one-time fee for any order. One time, Michael sent 35 letters and paid 26 dollars. The next time, he send 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?
Answer:
The post office charges $0.7cents to send one letter, and the fee is $1.5
Step-by-step explanation:
The following data was calculated during a study on mobile apps. Now interpret the results for this hypothesis test:
- The test statistic is calculated as t0=−3.56
- The significance level is α=0.10.
- The p-value is less than 0.01.
Select the correct answer below:
a Fail to reject H0. There is NOT strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.
b Fail to reject H0. There is strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.
c Reject H0. There is NOT strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.
d Reject H0. There is strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.
Based on the given information, the test statistic (t0) is -3.56, which indicates that the sample mean is 3.56 standard errors below the hypothesized population mean of 9 mobile apps.
The significance level (α) is 0.10, which means that the researcher has allowed for a 10% chance of rejecting the null hypothesis (H0) when it is actually true. The p-value is less than 0.01, which indicates that the probability of observing a sample mean at least as extreme as the one obtained, assuming the null hypothesis is true, is less than 1%. Therefore, we need to compare the p-value with the significance level. Since the p-value is less than the significance level, we reject the null hypothesis. This means that we have strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps. Therefore, the correct answer is option d: Reject H0. There is strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.
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find the perimeter of the triangle.a triangle is drawn. two angles of the triangle are marked with a single arc. the length of the side opposite one of the angles marked with a single arc is labeled (4 x plus 1 )inches and the side opposite the other angle marked with a single arc is labeled (x plus 4 )inches. the other side of the triangle is labeled 7 inches.
The perimeter of the triangle is inches 5x+12.
What is a perimeter?The perimeter is the distance around a shape's edge.
The distance encircling a shape's boundary is its perimeter.
The sides of the triangles are 4x+1, x+4 and 7 inches.
To find the perimeter of the triangle:
The formula for the perimeter of a triangle is the sum of the length of all the sides of a triangle.
That means,
the perimeter of the triangle = (4x+1) + (x+4) + 7
The perimeter of the triangle = 5x+ 12
Therefore, 5x+12 is the perimeter of the triangle is 5x+ 12.
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determine if - 2r + 6r^5 + sr is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial
The polynomial, - 2r + 6r^5 + sr is a trinomial.
The degree of the polynomial is 5.
What is a Polynomial?A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.
The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.
Given the polynomial, - 2r + 6r^5 + sr:
It has three terms, therefore, it is a trinomial.
The degree of the polynomial is 5.
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Write a sum of four numbers that equals 0, none of which are opposites.
The four numbers whose sum equals 0, none of which are opposites are
-2, 4, -9, 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Four numbers:
-2, 4, -9, 7
We see that,
The sum of the four numbers is 0.
-2 + 4 + (-9) + 7
= -11 + 11
= 0
None of the numbers are opposite.
Thus,
The four numbers are -2, 4, -9, and 7.
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Pls help and ty, I will give brainlists if it gives me the opion to.
The files below.
Answer: 15 degrees below zero
Plz mak brainliest
Answer:
1. 10-25 = -15˚
2. 48-6 = 42˚
3. Negative
4. Positive
5. you can probably do that by urself
Step-by-step explanation:
how large must be in order for to exceed 4? note: computer calculations show that for to exceed 20, and for to exceed 100, .
The value of the N must be in order of the 31 so that the value of the Sn will get exceeded by 4.
Only when the kind of sequence is known can the sum of n words in a sequence be calculated. Normally, while computing the sum of an n-number of terms, we take into account arithmetic progression.
The common distinction between each following phrase and each preceding term remains unchanged throughout this process. Natural numbers are an illustration of AP, where the common difference is 1. Hence, in order to determine the sum of all natural numbers, we must be aware of the formula.
\(S_N = \sum^N_{k=1} \frac{1}{k}\)
= 1 + 1/2 + 1/3 + 1/4 + ..... 1/N
It is a harmonic series,
Therefore, by trial and error method we get N = 31 to exceed Sn = 4
There are some elimination methods,
ln N + 1/N < Sn < ln N+1
we want Sn > 4
ln N+1/N < 4
maximum value of N is ln N+1/N =4
4<ln N+1 → ln N > 3, N > e³
5<ln N+1 → ln 4, N > e⁴
For Sn to exceed it value maybe in between
e³ < N < e⁴.
20.08 < N < 54.5
As I said it is an approximation it won't give exact value.
By taking a value in that range and check for desired value.
for N = 31 Sn willl exceed '4'.
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Complete question:
How large must N be in order for
\(S_N = \sum^N_{k=1} \frac{1}{k}\)
to exceed 100 to exceed 4? Note: Computer calculations show that for SN to exceed 20, N = 272, 400, 600 and for Sn to exceed 100, N = 1.5x10⁴³.
N = ?
the complement of an angle is 24º. find the measure of the angle
Answer:
66
Step-by-step explanation:
Daily demand for tomato sauce at Mama Rosa's Best Pasta restaurant is normally distributed with a mean of 120 quarts and a standard deviation of 50 quarts. Mama Rosa purchases the sauce from a wholesaler who charges $1 per quart. The wholesaler charges a $50 delivery charge independent of order size. It takes 5 days for an order to be supplied. Mama Rosa has a walk-in cooler big enough to hold all reasonable quantities of tomato sauce; its operating expenses may be fixed. The opportunity cost of capital to Mama Rosa is estimated to be 20% per year. Assume 360 days/year.
a) What is the optimal order size for tomato sauce for Mama Rosa?
b) How much safety stock should she keep so that the chance of a stock-out in any
order cycle is 2%? What is the reorder point at which she should order more tomato sauce?
To determine the optimal order size for tomato sauce for Mama Rosa, we need to use the economic order quantity (EOQ) formula. This formula is given as:
Economic Order Quantity (EOQ) = sqrt(2DS/H)
Where: D = Annual demand
S = Cost per order
H = Holding cost per unit per year
Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders. For Mama Rosa's tomato sauce ordering:
D = 360*120
= 43,200 Cost per order,
S = $50 Holding cost per unit per year,
H = 20% of
$1 = $0.20 Substituting the values in the EOQ formula,
we get: EOQ = sqrt(2*43,200*50/0.20)
= sqrt(21,600,000)
= 4,647.98 Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.
LT = Lead time
V = Variability of demand during lead time Lead time is given as 5 days and variability of demand is the standard deviation, which is given as 50 quarts.
To determine the reorder point, we Using the z-score table, the z-score for a 2% service level is 2.05. Substituting the values in the safety stock formula. use the formula: Reorder point = (Average daily usage during lead time x Lead time) + Safety stock Average daily usage during lead time is the mean, which is given as 120 quarts. Substituting the values in the reorder point formula, we get: Reorder point = 622.9 quarts Therefore, Mama Rosa should order tomato sauce when her stock level reaches 622.9 quarts.
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Jeff can read a 300 page book in 10 hours. His twin sister, Sasha can read a 350 page book in 11 hours. Who reads at the faster rate
Answer:
Sasha reads fat than her twin brother Jeff because in 10 hours he only 300 pages, but even though sasha read her book in 11 hours there's a 50 page difference.
the amount of medication, in milligrams, in a patient's bloodstream after t hours, can be represented by the following function: m of t equals 88 over the quantity 1 plus e to the x plus 7 tenths power end quantity what is the rate of change for the amount of medication in the patient's bloodstream after 4 hours?
Answer:
about -0.79 mg/hour
Step-by-step explanation:
You want the rate of change of the amount of medication in a patient after 4 hours if the amount after t hours is modeled by y=88/(1+e^(t+0.7)).
Rate of changeThe rate of change is found by taking the derivative of the function with respect to time. Let u = 1+e^(t+0.7). Then du/dt = e^(t +0.7).
The function can be written ...
y = 88/u = 88·u^-1
so its derivative is ...
dy/dt = (-88·u^-2)·du/dt
dy/dt = -88(e^(t +0.7))/(1 +e^(t +0.7))^2
At t=4The value of the rate of change at t=4 is ...
dy/dt = -88(e^(4 +0.7))/(1 +e^(4 +0.7))^2 ≈ -88(109.95)/(1 +109.95)^2
dy/dt ≈ -0.78602 ≈ -0.79 . . . . . . mg/h
The rate of change in the amount of medication is about -0.79 mg/h.
Seventeen more than the product of a number and -3 is less than -29
Answer:
x >46/3
Step-by-step explanation:
Do the product first because of the more than
-3x + 17 < -29
Subtract 17 from each side
-3x + 17 -17< -29-17
-3x < -46
Divide each side by -3, remembering to flip the inequality
-3x/-3 > -46/-3
x >46/3
Help with the following photo
Answer:
First answer
Step-by-step explanation:
The power of a power are multipled together
URGET PLEASE HELP
Let f(x) = 5x4 – 2x2 – 8x + 3 and g(x) =
-7x4 + 6x3 + 10x²
x + 4. What is f(x) + g(x)?
Answer:
f(x)+ g(x) = \(-2x^{4} + 6x^{3} +8x^{2} -8x+3\)
Step-by-step explanation:
You just have to add the like terms separately,
5-7 in \(x^{4}\)
only 6 in \(x^{3}\)
10-2 in\(x^{2}\)
-8 in x
and 3 as the constant
This is a number between zero and one expressed as one number over another
Answer:
A fraction
Step-by-step explanation:
1/2=0.5
What is this? k/8-5≥-6
Answer:
k≥-8
Step-by-step explanation:
A fair, six-sided dice is thrown twice.
What is the probability that a 1 is thrown on both occasions?
Answer. 1/36
Step-by-step explanation:
1/6 chance 6 sides 6^2 cause gotta hit 1 twice so 6 Squared is 36 so 1 in 36 chance
Which algebraic expression would be used to denote a trisomic organism? a. 1n b. 3n c. 2n - 1 d. 2n + 1 e. 2n + 2.
The correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism.
A trisomic organism is one that has an extra copy of a chromosome in its genome. This means that it has three copies of a particular chromosome instead of the usual two, which can have significant implications for the organism's development and health.
In terms of algebraic notation, the chromosome number of a trisomic organism would be denoted as 2n+1, where "n" represents the normal diploid number of chromosomes for that organism. The "2n" represents the normal two sets of chromosomes, and the "+1" represents the extra chromosome.
Therefore, the correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism. It is important to note that trisomies can occur for any chromosome, not just the sex chromosomes, and can have varying effects depending on which chromosome is affected.
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6th grade math i mark as brainliest