Answer:
Therefore, the percentage change from 20 to 50 is an increase of 150%.
Step-by-step explanation:
To work out the percentage change from 20 to 50, we can use the following formula:
((New Value - Old Value) / Old Value) x 100%
Plugging in the numbers, we get:
((50 - 20) / 20) x 100%
= (30 / 20) x 100%
= 1.5 x 100%
= 150%
The cost for a ticket to a play changes based on where
the seat is located. The $225 front-row seats cost three
times as much as a balcony seat. How much do four
balcony seats cost?
$224
$300
$450
$900
Answer:
$300
Step-by-step explanation:
Front row: $225
Front row = 3 * balcony
225 = 3 * balcony
balcony = $225/3 = $75
One balcony ticket costs $75.
4 balcony seats = 4 * $75 = $300
Answer: $300
A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 9 cm . If a box contains 10 pieces of candy, how much chocolate does the box contain?
Use 3.14 for π, and do not round your answer.
Step-by-step explanation:
The Volume of a Sphere ( One piece of candy ) = 4/3πr³
r = diameter/2 = 9/2 = 4.5 cm
Volume = 4/3(3.14)(4.5³)
V = 381.51 cm³
the box contains 10 pieces so the box contains :
381.51 x 10 = 3815.1 cm³ of chocolate
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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How many significant digits are there in the measurement 84,000 kg
Answer:
\(\boxed {\boxed {\sf 2 \ significant \ figures}}\)
Step-by-step explanation:
According to the "rules" of significant figures, all the zeroes to the right of the final non-zero number are not significant, unless there is a decimal point.
We are given the measurement:
84,000 kg
If there was a decimal point (84,000.0 kg), then there would be 5 significant figures.
Since there isn't a decimal point, all 3 zeroes to the right of the number 4 aren't significant. The 8 and 4 are significant, so there are 2 significant figures.
Question 1 of 10
Simplify the following expression.
3x^4+2x³-5x² +4x²+6x-2x-3x^4 +7x^5-3x³
Combining like terms yields 7x⁵ - x³ - x² + 4x.
Write a function formula for g using the function f.
g(x)=
Write a function formula for f using the function g.
f(x)=
Answer:
The graphed functions are symmetric over x-axis therefore they are reflection of each other over x-axis.
g(x) = -f(x)and
f(x) = -g(x)PLSS HELP ME WITH THIS! 25 POINTS!!
Answer:
\(3 \geq x\)
Step-by-step explanation:
\(1\geq \frac{x}{3}\)
Multiply each side by 3.
\(3 \geq x\)
need help with asap!!!!!
Answer:
it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)
Marco has $400. Each week, Marco adds $5 to his bank account.
Select the equation that best represents how much money Marco will save over time. S represents savings and w represents weeks.
w + 400 + 5 = s
400w + 5 = s
5w + 400 = s
5s + 400 = w
PLSS HURRY
Answer:
I'm pretty sure it's 400w+5=s
Step-by-step explanation:
400w because thats how much he earns each week +5 because that's how much he added =s which equals the total cost in his savings
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an even number and a number greater than 17? (A number is even if it is divisible by 2. 0 and 00 are considered even as well.)
Answer:
the wording (punctuation) of the question can lead to different interpretations....
I assume that the question was >17 & even which is "5/19",
BUT... it can also be read as two questions
first >17 which is "10/19"
and second an even number which is "9/19"
BUT !!! I think that the question answer is 5/19
Step-by-step explanation:
Even Number = 18/38 = 9/19
greater 17 = 20/38 = 10/19
Even & greater 17 = 10/38 = 5/19
vitamins and minerals, 5 boxes of protein powders, and 1 box of probiotics. At the end of the month, how many boxes have been delivered?
Answer:
6 boxes
Step-by-step explanation:
A local artist painted a copy of cezannes painting. it measures 88 in. ×74in. is the copy similar to the original? explain
Answer:
ch coale punoo cancents la de oor qqui soor
Step-by-step explanation:
In an orchard 2/5 of the trees are banana trees, 1/4 of the trees are orange trees and the rest are apple trees. If there are 220 trees in all, find the number of each kind
Answer: banana- 88
Orange-55
Apple-143
Step-by-step explanation:
220 divided by 5, times 2,
that’s the banana trees
220 divided by 4, that’s the oranges
Add the answers together
Take the answer away from 220 that’s the apples
please help me find DE
You can split up the length of AE into the lengths of the line segments connecting adjacent points:
AE = AB + BC + CD + DE
Plug in everything you know and solve for DE :
9 = (2 1/2) + (4 1/3) + (1 2/3) + DE
Rewrite the mixed numbers as improper fractions with a common denominator.
2 1/2 = 4/2 + 1/2 = 5/2 = 15/6
4 1/3 = 12/3 + 1/3 = 13/3 = 26/6
1 2/3 = 3/3 + 2/3 = 5/3 = 10/6
9 = 54/6
So we have
54/6 = 15/6 + 26/6 + 10/6 + DE
⇒ DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2
(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)
Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)
The inequality is: h less than equal to 2 That is the Numbers written in order from least to greatest going across
To find:
The values that make the given inequality true.
We have,
h less than equal to 2
It means the value of h must be less than or equal to 2.
In the given options, the list of numbers which are less than or equal to 2 is
-6, -3, -1, 1, 1.9, 1.99, 1.999, 2
The list of numbers which are greater than 2 is
2.001, 2.01, 2.1, 3, 5, 7, 10
Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
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Maximizing Profit: Tutorial
? Question
Buzz and Hover Electronics is a company that sells a variety of flying drones. For one model of drone, the cost and revenue
can be described by the given functions and graphs, where x is the number of drones.
R(x) = 180x
C(x) = 65x+13,800
Total (dollars)
+40,000
+35,000
+30,000
+25,000
+20,000
+15.000
D
+10,000
The company cannot maximize profit because the cost of producing outweighs the revenue or profit made
How should they maximize profit?
The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function:
P(x) = R(x) - C(x) = 180x - (65x + 13,800) = 115x - 13,800
To maximize the profit, we need to find the value of x that maximizes P(x). We can do this by finding the vertex of the parabola that represents the profit function. Since the coefficient of the x² term is negative (-115), the parabola opens downward and the vertex represents the maximum value of the function.
The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = -115 and b = 0, so x = 0.
Therefore, the maximum profit occurs when x = 0, which means that the company should not produce any drones. This is because the cost of producing each drone (65x + 13,800) is greater than the revenue generated by selling each drone (180x) for all values of x.
In other words, the company will lose money for each drone produced, so it should not produce any at all.
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What is the area of the figure? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
81.12 cm²
Step-by-step explanation:
The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.
(3.14 * 4²)/2 + (14 * 8)/2 (Work the operations in parentheses first.)
(3.14 * 16)/2 + 112/2
50.24/2 + 112/2 (Divide 50.24 by 2. Do the same for 112.)
25.12 + 56 (Add 25.12 & 56.)
81.12 cm²
The area of the figure is 81.12 cm².
Find an order pair (x, y) that is a solution to the equation
x-3y=3
(x,y) =
Answer:
(6,1)
Step-by-step explanation:
If you plug these numbers in for x and y, the equation works.
| x | >= 4 draw the graph
Answer:
Solve for x
x ≤ −4 or x ≥ 4
Jada thinks the perimeter of this rectangle can be represented with the expression a+a+b+b Andre thinks it can be represented with 2a+2b Do you agree with either of them? Explain your reasoning
Answer:
yes agreed
Step-by-step explanation:
a+a=2a
b+b=2b
=2a+2b
3 c 9 8. following is a statement of a theorem about certain cubic equations. for this theorem, b represents a real number. theorem a. if f is a cubic function of the form f .x/ d x 3 x c b and b > 1, then the function f has exactly one x-intercept. following is another theorem about x-intercepts of functions: theorem b. if f and g are functions with g.x/ d k f .x/, where k is a nonzero real number, then f and g have exactly the same x-intercepts. using only these two theorems and some simple algebraic manipulations, what can be concluded about the functions given by the following
Both f(x) and g(x) have one x-intercept at x = -1/3.
Theorem A states that for a cubic function of the form f(x) = x^3 + x + b, with b > 1, the function f has exactly one x-intercept. Using Theorem B, we can conclude that for any nonzero real number k, the function g(x) = kf(x) = kx^3 + kx + bk also has exactly one x-intercept.
For example, if f(x) = x^3 + x + 5 and k = 2, then g(x) = 2x^3 + 2x + 10. Both f(x) and g(x) have exactly one x-intercept. This can be shown by solving the quadratic equation formed by setting f(x) = 0 or g(x) = 0. Doing this yields x = -1/3. Therefore, both f(x) and g(x) have one x-intercept at x = -1/3.4
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Over the last semester, Mr. Finch kept track of the number of student
absences, Now that the semester is over, he wants to see if there is a linear
relationship between the number of absences and a student's grade for the
semester. The data he collected are given in the table.
A scatter plot of the data is shown in the image attached below.
An equation for the least squares regression line (trend line) is y = -3.49x + 93.14
How to determine a line of best fit for the data?In order to determine a linear equation for the least squares regression line (trend line) that models the data points contained in the table (see attachment), we would have to use a scatter plot.
In this scenario, the number of absences would be plotted on the x-axis of the scatter plot while the algebra grade would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the number of absences and algebra grade in the table, a linear equation for the least squares regression line (trend line) in terms of the problem is given by:
y = -3.49x + 93.14
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Circle c1 has equation (x+2)^2 plus (y+40)^2= 64 and circle c2 has equation (x-h)^2 plus (y-1)^2= 81. the distance between the centers of circle 1 and c2 is 13. a. find all possible values of h. b. a segment connecting the segment and circle c1 and let B be the intersection of the segment and circle C2. find ab. c. for each possible value of h, find the standard equations of the circles that are concentric with circle C1 and tangent to circle C2?
a) All possible values of h are no solutions, as the equation \((h + 2)^2 + 1681 = 169\) has no real solutions.
b) The length of segment AB is 8 units, which is equal to the radius of circle C1.
c) Since there are no possible values of h, we cannot find the standard equations of the requested circles.
To solve the given problem, let's break it down into three parts:
a) Find all possible values of h:
The distance between the centers of circle C1 and C2 is given as 13 units.
The center of C1 is (-2, -40), and the center of C2 is (h, 1).
Using the distance formula, we can set up the equation:
\(\sqrt{[(h - (-2))^2 + (1 - (-40))^2]} = 13\)
Simplifying and solving for h:
\(\sqrt{[(h + 2)^2 + 41^2] } = 13\)
\((h + 2)^2 + 41^2 = 13^2\)
\((h + 2)^2 + 1681 = 169\)
\((h + 2)^2 = 169 - 1681\)
\((h + 2)^2 = -1512\)
Since the equation has no real solutions (a negative value under the square root), there are no possible values of h that satisfy the given conditions.
b) Find the length of segment AB:
Let A be the center of circle C1 (-2, -40), and B be the intersection of the segment connecting A and circle C1 with circle C2.
The radius of C1 is √64 = 8, and the radius of C2 is √81 = 9.
Since A is the center of C1 and AB is a radius, the length of segment AB is equal to the radius of C1, which is 8 units.
c) Find the standard equations of the circles concentric with C1 and tangent to C2 for each possible value of h:
Since there are no possible values of h (as determined in part a), we cannot find the standard equations of the requested circles.
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Students at two high schools were asked about their plans after graduation. The table displays the results for 300 students at Henderson High School. The bar graph displays the results for 300 students at Johnson High School. Which Statement about the results from Henderson High School and johnson high school must be true?
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
Options F and G are the correct answer.
We have,
The number of students in Henderson High School.
Work = 96
College = 114
Armed forced = 48
Other = 42
The number of students in Johnson High School.
Work = 30
College = 40
Armed forced = 15
Other = 15
From the information,
The number of students in Work for Henderson High School is greater than Johnson High School.
Now,
Henderson High School:
Armed force and other = 48 + 42 = 90
Mode = college
Johnson High School.
Armed force and other = 15 + 15 = 30
Mode = college
Thus,
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
Assume the pack ice was drifting at a constant rate, and that Todd’s snowmobile was traveling at a constant speed relative to the pack ice.
What was the speed of Todd's snowmobile?
Answer:
The speed of Todd's snowmobile was 22 miles an hour
Step-by-step explanation:
:))
The speed of Todd's automobile is 31 miles per hour.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
For the first journey,
v₁ + v₂ = 330 / 11 ......................( 1 )
For the return journey,
v₂ - v₁ = 330 / 15 .........................( 2 )
From equation ( 1 ) and equation ( 2 ),
2v₂ = ( 330 / 11 ) + ( 330 / 15 )
2v₂ = ( 330 ) ( 31 / 165 )
v₂ = 165 ( 31 / 165 )
v₂ = 31 miles per hour
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The bill for dinner was $55.21. You left $9.79 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
The tip was 17.73% of the original bill.
Percent is the value which indicate hundredth part of the quantity .
For Example : 50/100 represents 50%.
It is given in the question that
Bill for dinner = $55.21
Tip given = $9.79
Tip percentage can be calculated using
Tip percent = (tip given / total bill) * 100
Tip percent = (9.79/55.21) * 100
= 0.1773 * 100
= 17.73 %
Therefore , the bill for the dinner was $55.21 and $9.79 was left for the tip ,the percent tip was 17.73% of the original bill .
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10 + 3x < 4 or 2x + 5 > 11 in interval notation
Answer:
( − ∞ , ∞ ) hope i help
Step-by-step explanation:
First, solve each inequality. I'll solve the first one first.
7 ≥ 2 x − 5
12 ≥ 2 x
6 ≥ x
Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:
( − ∞ , 6 ]
The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could
x
be any number less than 6, but it could also be 6.
Let's try the second example:
3 x − 2 4 > 4
3 x − 2 > 16 3 x > 18 x > 6
Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:
( 6 , ∞ )
The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).
Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either x is on the interval ( − ∞ , 6 ] or the interval ( 6 , ∞ )
. In other words, x
is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that
x
could be any real number, since no matter what number
x
is, it will fall in one of these intervals. The interval "all real numbers" is written like this:
( − ∞ , ∞ )
At a bookstore Mrs.McIntyre buys three books, one for each of her children. Each book cost the same amount. She also buys $1.50 magazine for herself. Her purchases have a total price of $13.47. The equation 3x+1.50=13.47 models this situation. Solve this equation for x. Explain what this value of x means in terms of the bookstore purchases.
Answer:
X= $3.99
Step-by-step explanation:
X is the value of each book
Answer:
x=3.99
Step-by-step explanation:
3x + 1.5= 13.47
3x + 1.5 - 1.5 = 13.47 - 1.5
3x = 11.97
3x/3 = 11.97/3
HOPE THIS HELPSSS