The deduction from her paycheck is 52 dollars and 22 cents. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Rylie's gross paycheck amount is $1305.60. She has 4% deducted from her paychecks for her 401(k). Her employer matches her deduction, up to 4%.
So the deduction will be given as
[tex]\rm Deduction = \dfrac{4}{100} *1305.6\\\\Deduction = 0.04 * 1305.6\\\\Deduction = 52.224 \approx 52.22[/tex]
The deduction from her paycheck is 52 dollars and 22 cents. Then the correct option is B.
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Answers please???????
I don't get it x/5 + x+4/3 = 4
Anybody have a correct answer?
Answer:
100
Step-by-step explanation:
Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x 3 + 44x 2 y + 17 and y 3 - 11xy 2 + 2x 2 y - 13x 3? y 3 - 6x 3 + 33x 2y + 2xy 2 + 17 20x3 - y3 + 33x 2y + 2xy 2 + 17 31x 3 - 6x 3 + 44x 2y + 11xy 2 + 17 32x 3 - y 3 + 42x 2y + 11xy 2 + 17
Answer:
32 x^3 - y^3 + 42 x 2y + 11 xy^2 + 17
Cody graphed a quadratic equations, y = -(x+3)^2 + 1. What were cody's mistakes?
Answer:
the answer is d
Step-by-step explanation:
The vertex and the axis of symmetry are graphed incorrectly.
According to the Rational Root Theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true? Any rational root of f(x) is a multiple of 12 divided by a multiple of 9. Any rational root of f(x) is a multiple of 9 divided by a multiple of 12. Any rational root of f(x) is a factor of 12 divided by a factor of 9. Any rational root of f(x) is a factor of 9 divided by a factor of 12.
Answer:
Any rational root of f(x) is a factor of 9 divided by a factor of 12.
Step-by-step explanation:
Given:
f(x) = 12x³– 5x² + 6x + 9
Required; Rational root of f(x)
The rational root theorem states that: each rational solution
x = p⁄q, written in lowest terms so that p and q are relatively prime
Where
p = factors of the constant
q = factors of the lead coefficient.
Given that
f(x) = 12x³– 5x² + 6x + 9
The constant is 9
And the lead coefficient is 12
The factor of these two are
9; ±1 , ±3, ±9
12: ±1, ±2, ±3, ±4, ±6, ±12
Then the rational root of f(x) is
factor of 9 divided by a factor of 12.
Possible Rational Roots
= (±1 , ±3, ±9) / (±1, ±2, ±3, ±4, ±6, ±12)
The correct statement according to the rational root theorem is
The rational root of f(x) is
factor of 9 divided by a factor of 12
A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells “n” games that originally cost “d” dollars each? Check all that apply.
Answer:
B. [tex]n(d-18)[/tex]
D. [tex]dn-18n[/tex]
Step-by-step explanation:
Let d represent the original price paid for the game.
We have been given that a local buys used video games. For each game bought, they will pay $18 less than the original price paid for the game.
The price of used video game would be original price minus 18. We can represent this information in an expression as:
[tex]d-18[/tex]
We have been given that Jordan sold n games, so the cost of n used games would be [tex]n(d-18)[/tex].
Using distributive property we will get,
[tex]n(d-18)=dn-18n[/tex]
Therefore, option B and D are correct choices.
ABE Software creates customized software that sells for $3,816,981.10 total. ABE Software’s cost is $1,723,000.00 and overhead expenses are estimated at 47% of the selling price. What is ABE Software’s net profit to the nearest dollar?
What is the area of the polygon
On a trip, you had to change your money from dollars to British pounds. You got 560 pounds for 800 dollars. How many pounds will you get for 300 dollars?
How to find common difference of arithmetic sequence given first and last term?
To find the common difference, subtract the first term from the last term and divide by the number of terms minus 1.
Explanation:To find the common difference of an arithmetic sequence given the first and last term, you can use the formula: common difference = (last term - first term) / (number of terms - 1). First, subtract the first term from the last term. Then, subtract 1 from the number of terms. Finally, divide the result of the subtraction by the number of terms minus 1 to find the common difference.
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A six-feet-tall man looks off the roof of a five-story hotel. He sees a statue that is 75 ft. away from the hotel. If he is looking at the base of the statue, what angle does his sight line form with the side of the hotel? Assume that each complete story of the hotel is 12 ft. tall.
32.6 degrees
43.9 degrees
48.7 degrees
54.2 degrees
Answer: 48.7 degrees
Step-by-step explanation:
Let [tex]\theta[/tex] is the angle between the his sight line form with the side of the hotel,
Since, the building is of 5-story and a men having height 6 feet is in the fifth-story.
Thus, the total length from the eyes of the man and foot of the building = 6 + 12 × 5 = 6 + 60 = 66 feet
Also, the distance of the statue from the foot of the building = 75 feet.
Then by the below diagram,
[tex]tan\theta = \frac{75}{60+6}[/tex]
[tex]tan\theta = \frac{75}{66}[/tex]
[tex]\theta=48.6522227803\approx 48.7\text{ degree}[/tex]
In calculating the present value of $1,000 to be received 5 years from today, the discount factor has been calculated to be .7008. what is the apparent interest rate?
Find the range of each function for the domain {-4, -2, 0, 1.5, 4}. f(x) = 5x^2 + 4
To find the range of the function f(x) = 5x^2 + 4 for the given domain {-4, -2, 0, 1.5, 4}, evaluate the function for each value in the domain and find the minimum and maximum outputs. The range of the function is {4, 84}.
Explanation:To find the range of the function f(x) = 5x^2 + 4 for the given domain {-4, -2, 0, 1.5, 4}, we need to evaluate the function for each value in the domain and find the minimum and maximum outputs.
Substitute -4 into the function: f(-4) = 5(-4)^2 + 4 = 84Substitute -2 into the function: f(-2) = 5(-2)^2 + 4 = 24Substitute 0 into the function: f(0) = 5(0)^2 + 4 = 4Substitute 1.5 into the function: f(1.5) = 5(1.5)^2 + 4 = 16.75Substitute 4 into the function: f(4) = 5(4)^2 + 4 = 84The range of the function is the set of all possible outputs. In this case, the minimum output is 4 and the maximum output is 84. Therefore, the range of the function is {4, 84}.
Find the value of y for which line a is parallel to line b
38
52
76
142
Rodney bought a 25-pound bag of dog food.His dog at 10 2/5 pounds of food in the first month and 10 4/5 pounds of the food in the second month.How much dog food,in pounds, was remaining in the bag at the end of the two months
Ciara solved the exponential equation 3x+1 = 15 and her work is shown below. What is the first step she did incorrectly? (3 points) Step 1: log 3x+1 = log15 Step 2: (x + 1)log 3 = log15 Step 3: log3 = log 15 over x plus 1 Step 4: 0.477121 = 1.176091 over x plus 1 Step 5: 0.477121(x + 1) = 1.176091 Step 6: x + 1 = 1.176091 over 0.477121 Step 7: x + 1 = 2.464975 Step 8: x = 1.464975
Answer:
The Answer is Step 3. I took the test :)
how many bricks 3.75 in wide times wide x 8 in long are required to cover a patio 13 ft. 6 in wide by 18. 9 ft long
Today's newspaper contains a 20%-off coupon at Old Army. The $100 jacket that you want was already reduced by 40%. What as the final price that you paid for the jacket
The final price that is paid for the jacket is:
$ 48
Step-by-step explanation:The actual cost of jacket was: $ 100
The cost of the jacket was reduced by 40%
This means that the after reduction of 40% the jacket will cost:
[tex]100-\dfrac{40}{100}\times 100\\\\\\=100-40\\\\=60[/tex]
This means that the cost of jacket after 40% reduction is: $ 60
Also, there was a coupon that contains 20% off.
This means that the jacket will actually cost:
[tex]60-\dfrac{20}{100}\times 60\\\\\\=60-12\\\\\\=48[/tex]
The final price of jacket is:
$ 48
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A Hummingbird moves its wings at a rate of 5520 wingsbeats a minute. Write this rate in wingbeats per second?
The required rate of wingbeats per second is 92.
A Hummingbird moves its wings at a rate of 5520 wingsbeats a minute. Write this rate in wingbeats per second?
Rate of change is defined as the change in value with rest to the time is called rate of change.
given rate = 5520 wingsbeats a minute.
now to convert it in seconds divide it by 60
= 5520/60
= 92 wingsbeats a second
Thus, The required rate wingbeats per second is 92.
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Find a second-degree polynomial p such that p(1) = 5, p'(1) = 7, and p''(1) = 10.
The given conditions suggest a second-degree polynomial of form p(x) = ax^2 + bx + c. By solving the given conditions a = 5, b = -3, and c = 3, yielding the polynomial p(x) = 5x^2 - 3x + 3.
Explanation:The question is asking for a second-degree polynomial, which can generally be written in the form p(x) = ax^2 + bx + c. Given that p(1) = 5, that means a + b + c = 5. The derivative of p(x), p'(x) = 2ax + b, and p'(1) = 7, so 2a + b = 7. The second derivative, p''(x) = 2a, and p''(1) = 10, so 2a = 10 or a = 5. We can substitute a = 5 into the first two equations to find the values of b and c. So, b = -3 and c = 3. Therefore, the original function is p(x) = 5x^2 - 3x + 3.
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A group of 500 transistors is known to contain one defective unit. What is the probability that a transistor selected at random from the lot is the bad one?
The answer is 1/500 because it will always be the probability of the event occurring/total events
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The graph shows the amount of money the Phillips family spent each month on groceries.
When did the greatest month-to-month increase in spending occur?
July–August
April–May
June–July
May–June
Answer:
Option A. July-August.
Step-by-step explanation:
Phillips family spent each month on groceries. The amount of money in each month is shown in a graph.
Approximate amount in each month was spent :
March : $450
April : $400
May : $400
June : $500
July : $300
August : $ 500
Sep. : $480
Oct. : $420
From the graph given, there is a greatest month to month increase in spending occur in July to August (from $300 to $500).
So Option a. July-August is the correct answer.
What is 5/8 ± 2/5? Please Help easy points
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Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES = 10, then RO = 27 30 38
Answer:
The length of RO is 38.
Step-by-step explanation:
Given information: ROSE is trapezoid with median If MN = 24 and ES = 10.
Sufficient information is not given. This question can be solved if it is given that [tex]RO\parallel ES[/tex].
According to the properties of trapezoid the length of the median is the average of length of parallel sides.
Let [tex]RO\parallel ES[/tex] and length of RO be x.
Since MN is median, therefore
[tex]MN=\frac{RO+ES}{2}[/tex]
[tex]24=\frac{x+10}{2}[/tex]
[tex]48=x+10[/tex]
[tex]x=38[/tex]
Therefore length of RO is 38.
128,96,72,54,...find the common ratio
To find the common ratio of the given sequence, divide each term by the previous term. The common ratio is 0.75.
Explanation:The given sequence is: 128, 96, 72, 54, ...
To find the common ratio, we need to determine the ratio between consecutive terms. We can do this by dividing each term by the previous term.
Ratio between the 2nd and 1st terms: 96/128 = 0.75
Ratio between the 3rd and 2nd terms: 72/96 = 0.75
Ratio between the 4th and 3rd terms: 54/72 = 0.75
Since the ratio is the same for all consecutive terms, we can conclude that the common ratio of this geometric sequence is 0.75.
The correct common ratio for the given sequence is [tex]\(\frac{3}{4}\) or 0.75.[/tex]
To find the common ratio of the sequence, we divide each term by the previous term and look for a consistent value:
1. For the second term, \(96\), divided by the first term, [tex]\(128\)[/tex], we get:
[tex]\[ \frac{96}{128} = \frac{3}{4} = 0.75 \][/tex]
2. For the third term, [tex]\(72\),[/tex] divided by the second term, [tex]\(96\),[/tex] we get:
[tex]\[ \frac{72}{96} = \frac{3}{4} = 0.75 \][/tex]
3. For the fourth term, [tex]\(54\),[/tex] divided by the third term, [tex]\(72\)[/tex], we get:
[tex]\[ \frac{54}{72} = \frac{3}{4} = 0.75 \][/tex]
which numerical expression would provide the solutions to the equation 7x^2 + 4x - 8 = 14
The quadratic equation 7x^2 + 4x - 8 = 14 does not have any real solutions.
Explanation:The given equation is a quadratic equation of the form at² + bt + c = 0, where a = 7, b = 4, and c = -22. To find the solutions, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values, we get:
x = (-4 ± √(4² - 4(7)(-22))) / (2(7))
Simplifying further, we get:
x = (-4 ± √(16 - 616)) / 14
x = (-4 ± √(-600)) / 14
The expression inside the square root is negative, which means there are no real solutions to the equation.