Find the percent of discount. Round to nearest tenth.
Original price $24,365; selling price $16,820
25 POINTS PLEASE HELPIf the fifth term of an arithmetic sequence is 11 and the common difference is 4, then the sixth term of the sequence is.
The sixth term of an arithmetic sequence, with a fifth term of 11 and a common difference of 4, is calculated to be 15.
Explanation:The student's question is about determining the sixth term of an arithmetic sequence when the fifth term and the common difference are given. The fifth term is 11, and the common difference is 4. To find the sixth term, we follow the definition of an arithmetic sequence where each term is equal to the previous term plus the common difference.
Arithmetic sequence formula
:
Tn = T(n-1) + d
Where:
Tn is the nth termT(n-1) is the previous termd is the common differenceApplying this formula to find the sixth term:
Sixth term = Fifth term + Common difference
= 11 + 4
= 15
Therefore, the sixth term of the sequence is 15.
Worker A earns $8.10 per widget produced, produces 10 widgets per day, and works 9 hours per day. Worker B earns $8.40 per widget produced, produces 8 widgets per day, and works 7 hours per day. Which of these statements is true?
A. Worker B earns more per day than worker A but less per hour than worker A.
B. Worker A earns more per day than worker B but less per hour than worker B.
C. Worker A earns more per day than worker B and more per hour than worker B.
D. Worker B earns more per day than worker A and more per hour than worker A.
By calculating the total earnings per day and earnings per hour for Worker A and Worker B, we deduce that Worker A earns more per day than Worker B but earns less per hour than Worker B.
Explanation:To answer this question, we first need to calculate the total earnings per day and then the earnings per hour for both Worker A and Worker B.
For Worker A, the total earnings per day can be calculated as: 10 widgets/day * $8.10/widget = $81/day. For Worker B, the total earnings per day can be calculated as: 8 widgets/day * $8.40/widget = $67.20/day.
Therefore, we can see that Worker A earns more per day than Worker B.
Next, we calculate the earnings per hour. For Worker A, the earnings per hour amount to: $81/day ÷ 9 hours/day = $9/hour. For Worker B, the earnings per hour amount to: $67.20/day ÷ 7 hours/day = $9.60/hour.
Thus, Worker B earns more per hour than Worker A.
Given the calculations, the correct statement is B. Worker A earns more per day than Worker B but less per hour than Worker B.
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How do you get 90 dollars per 5 hours to 180 dollars to BLANK amount of hours with the numbers of 10,15,45,216,360 to choose from?????
What is the trigonometric ratio for sin C ?
Enter your answer, as a simplified fraction.
Plz help. ,,, ,,,,,,,,,,,,,,........
If the √4 is 2, what is 89²?
Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct?
Leslie's statement is correct. 5 multiplied by an even number always results in an even product
Number multiplication rulesFrom the question, we are to determine if Leslie's statement is correct.
From the given information,
Leslie says that 5 multiplied by an even number always results in an even product
An even number is a whole number that is able to be divided by two into two equal whole numbers
NOTE: The multiplication of any integer by an even number will always result in an even product.
An integer is a positive or negative whole number.
Since, 5 is an integer, then the multipliction of 5 by an even number will always results in an even product.
Hence, Leslie's statement is correct. 5 multiplied by an even number always results in an even product.
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A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. To study the impact of adding ingredient P, Q, R, S, or T to the recipe, they baked 270 loaves of bread. Some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. The freshness of the bread was checked one week later, and the results were used to create the two-way tables below.
Which tables suggest an association between adding an extra ingredient and the freshness of the bread? Check all that apply.
(Tables Below)
Answer:
Effect of ingrediant R on freshness
Effect of Ingredient S on freshness
Effect of ingrediant T on freshness
Step-by-step explanation:
X Effect of ingrediant P on freshness
X Effect of ingrediant Q on freshness
* Effect of ingrediant R on freshness
* Effect of Ingredient S on freshness
* Effect of ingrediant T on freshness
Answer on edge
The masses of four planets in a solar system outside the Milky Way are given below.
Mass of Planet A: 5.97 × 10^24 kg
Mass of Planet B: 3.30 × 10^23 kg
Mass of Planet C: 1.89 × 10^27 kg
Mass of Planet D: 4.87 × 10^24 kg
What is the order of these planets from least to greatest mass?
-Planet C, Planet B, Planet D, Planet A
-Planet C, Planet A, Planet D, Planet B
-Planet B, Planet D, Planet A, Planet C
-Planet A, Planet D, Planet B, Planet C
How can you minimize the risk from your investments?
A.) By investing in a stock with the highest volatility.
B.) By investing in a stock with maximum returns.
C.) By investing in a variety of investment options.
Will fan and medal,
You can minimize the risk from your investments by investing in a variety of investment options. The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy. Your investment portfolio should contain different types of investments so that the risk would be spread to these investments.
By investing in a variety of investment options will minimize the risk from your investments.
What is Investment?Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time
We need to find in which way we can minimize the risk from your investments.
Before you begin to invest, think about what returns you’re realistically expecting and be clear on what your investment goals are.
The greater the potential returns, the higher the level of risk.
The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy.
So one can minimize the risk from your investments by investing in a variety of investment options. Your investment should contain different types of investments so that the risk would be spread to these investments.
Hence, By investing in a variety of investment options will minimize the risk from your investments.
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What is the angle for a and b
FAN AND MEDAL: NEED HELP PLEASE! Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values.,
Maya recived exactly 93750 votes
suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c<0, what could be the possible values of p and q?
A: p= -3, q= 7
B: p= 11, q= 4
C: p= -2, q= -5
D: p= 1, q= 10
HEY PEOPLE NEED HELP WITH 2 QUESTION PLZ ANSWER
USING 56 POINTS PLEASE HELP! A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need? Round to the nearest foot.
(Thank you!!) PLEASE ROUND THE NUMBER TO THE NEAREST FOOT.
Answer:
If this is right then yw :)
Step-by-step explanation:
Find the value of 'm' if (-m,2) is a solution of equation 4x+9y-6=0
What is the definition of asymptote?
What is the facts or characteristics of asymptote?
What is some examples of asymptote?
What is some non-examples of asymptote?
An asymptote is a line that approaches a curve indefinitely without intersecting it at any finite point. Examples include the line y = 0 for the function y = 1/x, whereas a non-example would be the intersecting line y = x with a parabola y = x^2.
Explanation:An asymptote is a line that a curve approaches as it heads towards infinity, but never actually reaches.
There are several characteristics of an asymptote that are notable. First, the distance between the curve and the asymptote approaches zero as one moves along the curve towards infinity. However, the curve will never intersect the asymptote at any finite point. There are two main types of asymptotes: vertical and horizontal.
An example of an asymptote is the line y = 0, which is a horizontal asymptote for the function y = 1/x as x approaches infinity.
A common non-example of an asymptote is any line or curve that intersects a graph at a finite number of points, such as the line y = x when compared with a parabola y = x2.
This figure shows circle C with diameter LM and inscribed ∠LMN .
m∠LMN=32°
What is the measure of arc LMN?
Enter your answer in the box.
Answer:
[tex]296^{\circ}[/tex]
Step-by-step explanation:
It is given that figure shows circle C with diameter LM and inscribed ∠LMN and m∠LMN=32° .
We know that the angle formed at the center is double the angle formed on the vertex that is an inscribed angle, thus on joining NC, we have
[tex]{\angle}NCL=2({\angle}LMN)[/tex]
Substituting the given values, we have
[tex]{\angle}NCL=2(32^{\circ})[/tex]
[tex]{\angle}NCL=64^{\circ}[/tex]
Now, [tex]minor{\angle}LCN+major{\angle}LCN=360^{\circ}[/tex] (complete angle)
[tex]major{\angle}LCN=296^{\circ}[/tex]
Therefore, the measure of the arc LMN is [tex]296^{\circ}[/tex].
What are the x-intercepts of the quadratic function? f(x)=x2+2x−24
Answer:
Just took the test the answers are -6 and 4 for anyone else wondering! :)
Step-by-step explanation:
PS. Use the site called "Desmos" and type your function in the box and just find where it crosses the x axis!
how many integer solutions are there to the equation x^3-5x^2+2x+13=5
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9
Can somebody please help me with these two problems?
1. What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44
2. What is the sum of the finite arithmetic series? 7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (–0.2) + (–1.5),
The sum of the finite arithmetic series 26 + 29 + ... + 44 is 245. The sum of the series 7.6 + 6.3 + ... + (-1.5) is 24.4.
To solve these problems, we will use the formula for the sum of a finite arithmetic series, which is given by S = n÷2 × (a₁ + aₙ), where S represents the sum of the series, n is the number of terms, a₁ is the first term, and aₙ is the last term.
Problem 1:
The series is: 26, 29, 32, 35, 38, 41, 44. First, we find the number of terms (n). Since the common difference (d) is 3, we have n = (44 - 26)÷3 + 1 = 7. Now, apply the formula to find the sum: S = 7÷2 × (26 + 44) = 245.
Problem 2:
The series is: 7.6, 6.3, 5, 3.7, 2.4, 1.1, -0.2, -1.5. Here, d = -1.3 and n = 8. So the sum is: S = 8÷2 × (7.6 - 1.5) = 24.4.
If AB=6and AC=8, which statement will justify similarity by SAS?
Find the image of P(–2, –1) after two reflections; first Ry=−5(P), and then Rx=1(P1).
(1, –5)
(–1, –6)
(4, –9)
(–2, –1)
need help please!! thanks
Solve 2 log 2x = 4. Round to the nearest thousandth if necessary
Answer:
For [tex]2log2x=4[/tex] , x = 50
Step-by-step explanation:
Given : [tex]2log2x=4[/tex]
We have to find the value of x.
Consider the given [tex]2log2x=4[/tex]
Divide both side by 2, we have,
[tex]\frac{2\log _{10}\left(2x\right)}{2}=\frac{4}{2}[/tex]
Simplify, we have,
[tex]\log _{10}\left(2x\right)=2[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \:a=\log _b\left(b^a\right)[/tex]
[tex]2=\log _{10}\left(10^2\right)=\log _{10}\left(100\right)[/tex]
[tex]\log _{10}\left(2x\right)=\log _{10}\left(100\right)[/tex]
When log have same base, we have,
[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]
We have,
[tex]2x=100[/tex]
Divide both side by 2, we have,
[tex]x=50[/tex]
Thus, For [tex]2log2x=4[/tex] , x = 50
PLEASE HELP!!ABCD∼EFGH
AD=30 in. , EH=50 in. , and CD=15 in.
What is GH ?
Answer: GH =25 in.
Step-by-step explanation:
Given: [tex]ABCD\sim EFGH[/tex]
We know that if two polygons are similar then their corresponding sides are proportional.
Thus, [tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}[/tex]
Since, AD=30 in. , EH=50 in. , and CD=15 in.
Then we have ,
[tex]\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.[/tex]
1. Is -7 + 9= -9 + 7 true, false, or open
A. True
B. False
C. Open
2. Is 4x - 3 = 19 true, false, or open
A. True
B. False
C. Open
3. Which of the following is a solution to the equation 16 = 4x - 4
A. -5
B. -4
C. 5
D. 16
4. An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 in. What should the width of the model be?
A. 17.5 in
B. 20.5 in
C. 83.6 in
D. 100.8 in
5. Use mental math to determine the solution to x - 3 = 10
A. X=7
B. X=13
C. X=30
D. X=0
The answer of the following mathematical expressions are,
1. True
2. False
3. C. 5
4. A. 17.5 in
5. B. x = 13
Let's go through each of the expression ,
Is -7 + 9 = -9 + 7 true, false, or open?
It is option A. True
Both sides of the equation simplify to 2, so the equation is true.
Is 4x - 3 = 19 true, false, or open?
It is option B. False
When you solve for x, you get 4x = 22, and then x = 5.5. Therefore, the equation is false.
Which of the following is a solution to the equation 16 = 4x - 4?
The value of x is option C. 5
When you solve for x, you get 4x = 20, and then x = 5. So, x = 5 is a solution to the equation.
An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 inches. What should the width of the model be?
The width is equal to option A. 17.5 inches
If the length is 2.4 times the width, then the width should be 42 inches / 2.4 = 17.5 inches.
Use mental math to determine the solution to x - 3 = 10.
the value of x is option B. x = 13
Adding 3 to both sides of the equation gives x = 10 + 3, which is x = 13.
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If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?
The required total bill would be $64.134 including of 18% tip.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
According to the question,
To leave an 18% tip for a waiter on a $54.35 meal,
Total bill = 54.35 + 18% of 54.35
= 54.35 [1 + 0.18]
= 54.35 (1.18) = 64.134
Thus, the required total bill would be $64.134.
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