Answer:
Assuming to round up to the cent 59.09
Step-by-step explanation:
64.22 x .92 (because of the 8% decrease) = 59.0824 and sense you cant spend part of a cent it has to round up 59.09
Write the equation of the line in slope-intercept form that passes through the following points:
(-5, 6) and (-2, 1)
a) Slope:
b) Y-Intercept:
c) Equation in Slope Intercept Form:
Answer:
the slope is -1 2/3
The y-intercept is -1.4
The equation in y = mx + b form is
y = –5/3x - 2 1/3
Step-by-step explanation:
What type of transformation is shown from Triangle P to Triangle Q?
Answer: translation
Step-by-step explanation:
Marcus has to write a 4 1/2 page essay for his English class.he has only written 1 1/6 pages. how many pages does he have left to write?
Answer:
3 2/6
Step-by-step explanation:
total pages to be written
add 4 to 1/2 using common denominators
4 1/2 = 8/2 + 1/2
= 9/2 or 27/6
pages Marcus wrote
add 1 to 1/6 using common denominators
1 1/6 = 6/6 + 1/6
= 7/6
pages left
27/6 - 7/6 = 20/6 or 3 2/6
-6x+18< 2-4x Respuesta porfaa
Answer:
x > 8
Step-by-step explanation:
-6x + 18 < 2 - 4x
-2x + 18 < 2
-2x < -16
x > 8
In 2022, Skylar sold equipment for $99,800 cash and a $998,000 note due in two years. Skylar's cost of the property was $798,400, and he had deducted depreciation of $479,040.
How much gain can be deferred under the installment sale method?
So the amount of gain that can be deferred under the installment sale method is $424,879.16.
What is percent?Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.
Here,
To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.
Selling price = $99,800 cash + $998,000 note = $1,097,800
Adjusted basis = $798,400 - $479,040 = $319,360
Total gain = $1,097,800 - $319,360 = $778,440
To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:
Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%
Now we can calculate the amount of gain that can be deferred using the formula:
Gain deferred = Gross profit percentage × Payments received
Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:
$99,800 + ($998,000 / 2) = $598,800
Substituting into the formula, we get:
Gain deferred = 0.7097 × $598,800 = $424,879.16
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someone help me asap
Given one point and a slope:
(-3, - 4) and m = - 5To graph the line plot the given point first.
Then find the second point, consider the slope by adding 1 to the x-coordinate and -5 to the y-coordinate, this gives us:
x = - 3 + 1 = - 2y = - 4 - 5 = - 9Next, plot the second point (-2, - 9).
Now connect the two pints and extend either side. This is the line you need.
someone help please :)
Answer:
its basically a Cross
the point they cross is p
and the 2 lines are AB and RS
I hope I'm correct.And yea
.hope it helps
Use the distributive property to rewrite this expression.
3(a + 6)
Answer:
3a + 18
Step-by-step explanation:
(5 points) how many revolutions will a car wheel of 30 in. (diameter) make as the car travels 1 mile?
We need to know about circumference of a circle to solve the problem. The number of revolutions that the car wheel makes to travel 1 mile is 672.
The circumference of the circle is the perimeter of the circle. In the given question we know that the diameter of the car wheel is 30 inches, and we need to find out the number of revolutions it will take for the car to travel 1 mile. We need to find the circumeference of the circle from there we will know how much distance it covers in one revolution, so we can find out after that the number of revolutions it will take to cover 1 mile.
radius= 30/2 = 15 inches
circumference= 2\(\pi\)r = 2x \(\pi\)x 15=94.25 sq inches
1 mile = 63360 inches
revolutions = 63360/94.25= 672
Therefore the number of revolutions the car will make to travel 1 mile is 672.
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PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
\(\frac{\pi }{4}\)
Step-by-step explanation:
Solving :
(2 cos(θ))² = 2
4 cos²θ = 2
cos²θ = 1/√2
cosθ = \(\frac{\pi }{4}\)
8/9=x+1/3(7) what the answer
Answer:
x=-1.4 repeating or x= -13/9
Step-by-step explanation:
1/3 x 7 = 7/3
8/9=x+7/3
Move the var to left hand side of =
-x=8/9-7/3
subtract the fractions
x-=13/9
change the signs and your done! :D
x=-13/9
Find the distance between the two points in simplest radical form. (-6,5) and (-3,7)
Answer:
d = \(\sqrt{13}\)
Step-by-step explanation:
The formula for distance, d, between two points is
\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where (x1, y1) are one point and (x2, y2) are another point.
We can allow (-6, 5) to be our (x1, y1) point and (-3, 7) to be our (x2, y2) point and plug the points into the formula:
\(d=\sqrt{(-6-(-3))^2+(5-7)^2}\\ d=\sqrt{(-6+3)^2+(-2)^2}\\ d=\sqrt{(-3)^2+4}\\ d=\sqrt{9+4}\\ d=\sqrt{13}\)
√13 is already in simplest radical form because there are no perfect squares which can be factored out from 13
1. -18 + 10 need the answer
Answer:
-8
Step-by-step explanation:
-18 + 10 can be re-written as 10 - 18 or 10 - 10 -8 which can be simplified to -8
The drama club sells hot drinks during intermission for the school play. At one performance they sold $200 worth of drinks. Karen knows that they sold 295 total drinks. If hot chocolate sold for $0.75 and coffee sold for $0.50, then how many of each hot drink did the drama club sell?
Answer:
they sold 210 hot chocolates and 85 coffees
Step-by-step explanation:
We know that they sold $200 worth of drinks
x will be the number of hot chocolates sold
y will be the number of coffees sold
This means that
.75x+.5y=200
We also know that they sold 295 total drinks which means that
x+y=295
This is a system of linear equations which I will solve through substitution
x+y=295
Subtract y from both sides and divide by -1 to get
-x+295=y
Plug y into the first equation and get
.75x+.5(-x+295)=200
Distribute the .5 and simplify to get
.75x-.5x+147.5
.25x+147.5=200
Subtract 147.5 and then divide by .25 to get our x value
x=210
Now we can go back and plug this in into our equation
210+y=295
Subtract 210 to get y
y=85
This means that they sold 210 hot chocolates and 85 coffees
at the ccny holiday party, you are told there are soft drinks in the cooler. the cooler contains 18 regular soft drinks and 12 diet soft drinks. suppose you quickly grab 3 soft drinks for you and your friends without looking. what is the probability you grab 2 diet soft drinks?
The Total Proability will be 297 / 1015
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Total Number of Regular Soft Drinks = 18
Total Number of Diet Soft Drinks = 12
Total Drinks = 18 + 12 = 30
Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the first and last attempt = 12/30 * 18/29 * 11/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the second and last attempt = 18/30 * 12/29 * 11/28 = 2376 / 24360
Total Probability = 3 * 2376 / 24360
Total Probability = 2376 / 8120
Total Probability = 297 / 1015
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1. (a) Complete the following table for the relationship described by y = x². 3 X y --5 -4 -3 -2 -1 0 1 2 4 5
The completed table for the relationship described by y = x² is as shown below. To complete the table for the relationship described by y = x², we substitute the given values of x into the equation and calculate the corresponding values of y. Let's fill in the table:
x | y
-5 | 25
-4 | 16
-3 | 9
-2 | 4
-1 | 1
0 | 0
1 | 1
2 | 4
3 | 9
4 | 16
5 | 25
To calculate the values of y, we square the corresponding values of x. For example, when x = -5, we have y = (-5)² = 25. Similarly, when x = 4, y = 4² = 16.
The table shows the pairs of x and y values that satisfy the equation y = x². As we can see, the y values are the squares of the corresponding x values. For negative values of x, the resulting y values are positive since the square of any real number is always positive. For positive values of x, the resulting y values are also positive.
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1Rewrite as multiplication:Multiply the numerator and the denominatorSimplify by dividing both the numerator and denominator by the GCF2Answer
To rewrite a division of fractions as a multiplication, flip the numerator and the denominator of the divisor:
\(\frac{2}{9}\div\frac{4}{9}=\frac{2}{9}\times\frac{9}{4}\)Then, multiply the numerators and the denominators:
\(\frac{2}{9}\times\frac{9}{4}=\frac{2\times9}{9\times4}=\frac{18}{36}\)The GCF of 18 and 36 is 18. Then:
\(\frac{18}{36}=\frac{18\div18}{36\div18}=\frac{1}{2}\)Therefore, the answer is:
\(\frac{2}{9}\div\frac{4}{9}=\frac{1}{2}\)The value of a cellular phone depreciates at a rate of 13% every month. If a new phone costs $300, which expressions model the value of the phone, after t years?
300(0. 87)/12 and 300(0. 1880)t
300(0. 87)t/12 and 300(0. 9885)t 300(0. 87)124 and 300(0. 1880)t
300(0. 87) 12 and 300(0. 9885)t
The correct expressions which model the value of the phone after t years are given by 300(0.87)t/12 and 300(0.9885)t. Value of a cellular phone depreciates at a rate of 13% every month.
Given a cellular phone's value depreciates at a rate of 13% every month. So, the phone's value will decrease by 13% of its original value every month. Therefore, the equation for the phone's value after t years is given by:
V(t) = $300 × (1 - 0.13)ᵗ, where t is the time in years.
The given expressions, 300(0. 87)/12 and 300(0. 1880)t 300(0. 87)t/12 and 300(0. 9885)t 300(0. 87)124 and 300(0. 1880)t 300(0. 87) 12 and 300(0. 9885)t. Do not model the value of the phone after t years. Therefore, the correct answer is 300(0. 87)t/12 and 300(0. 9885)t.
The value of a cellular phone depreciates at a rate of 13% every month, which means that the remaining value of the phone after one month is 87% of the original value. Therefore, to calculate the value after t years, the equation
V(t) = $300 × (1 - 0.13)ᵗ should be used.
By plugging in the time t in years, we can get the remaining value of the phone. The first option (300(0.87)/12 must be corrected because it only calculates the phone's value after one month, which is not the question asked. Therefore, the correct expression that model the phone's value after t years is given by 300(0.87)t/12 and 300(0.9885)t.
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Can someone help me with this problem
Answer:
H and N
Step-by-step explanation:
What is the length of the hypotenuse of the triangle when x=14? 5x+7 3x
To find the length of the hypotenuse of a right triangle, we need to use the Pythagorean Theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):
c^2 = a^2 + b^2
In this case, we have two sides with lengths given by the expressions 5x + 7 and 3x. When x = 14, we can substitute this value into the expressions to find the lengths of the sides:
a = 5x + 7 = 5(14) + 7 = 77
b = 3x = 3(14) = 42
Now we can use the Pythagorean Theorem to find the length of the hypotenuse:
c^2 = a^2 + b^2 = 77^2 + 42^2 = 5929 + 1764 = 7693
Taking the square root of both sides, we get:
c = sqrt(7693) ≈ 87.7
Therefore, when x = 14, the length of the hypotenuse of the triangle is approximately 87.7 units. I
PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.
Answer:
1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x ← is in slope- intercept form
with slope m = 1
Answer:
1
Step-by-step explanation:
the most basic distinction between types of data is that some data are quantitative while other data are qualitative. quantitative data generally consists of:
The most basic distinction between types of data is that some data are quantitative while other data are qualitative. Quantitative data consists of numerical information that can be measured or counted, allowing for statistical analysis and objective comparisons. This type of data can be further classified into two subcategories: continuous data and discrete data.
Continuous data represent measurements that can take on any value within a specified range, such as height, weight, temperature, or time. These measurements can be represented using fractions or decimals and are typically collected using precise instruments like rulers or thermometers.
Discrete data, on the other hand, consist of distinct, separate values that can be counted or categorized. Examples of discrete data include the number of students in a class, the number of cars in a parking lot, or the number of books sold in a month. Discrete data is often collected through surveys or counting processes.
In contrast, qualitative data are non-numerical and describe attributes, characteristics, or experiences. This type of data is typically obtained through observation, interviews, or open-ended survey questions. Examples of qualitative data include feelings, opinions, beliefs, or descriptions of events.
In summary, the primary distinction between types of data lies in their nature: quantitative data is numerical and allows for objective measurement, while qualitative data is descriptive and explores subjective aspects. Understanding the difference between these two types of data is essential for conducting accurate and meaningful research.
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Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
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BRAINLIEST for CORRECT answer please help
Answer: The answer is B I swear
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
Just did it on Edg 2020
What kind and how much polygons do you see in the net of the triangular prism?
The net of a triangular prism consists of two triangles and three rectangles.
In the net of a triangular prism, we can observe two types of polygons: triangles and rectangles.
First, let's discuss the triangles.
A triangular prism has two triangular faces, which are congruent to each other.
These triangles are equilateral triangles, meaning they have three equal sides and three equal angles.
Each of these triangles contributes two polygons to the net, one for each face.
Next, we have the rectangles.
A triangular prism has three rectangular faces that connect the corresponding sides of the triangular bases.
These rectangles have opposite sides that are parallel and equal in length.
Each rectangle contributes one polygon to the net, resulting in a total of three rectangles.
To summarize, the net of a triangular prism consists of two equilateral triangles and three rectangles.
The triangles represent the bases of the prism, while the rectangles form the lateral faces connecting the bases.
Altogether, there are five polygons in the net of a triangular prism.
It's important to note that the dimensions of the polygons may vary depending on the specific size and proportions of the triangular prism, but the basic shape and number of polygons remain the same.
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Find the length of AB, BC, and AC
Answer:
6=AB
8=BC
AC =
formula=H²=P²+B²
H=AC
P=BC
B=AB
H²=8²+6²
H²=64 +36
H²=100
H=10
suppose, instead of surveying individuals regarding their tea-drinking habits, you decide to conduct a designed experiment. you identify 90 volunteers to participate in the study and decide on three levels of the treatment: two cups of a placebo daily, one cup of a placebo and one cup of green tea daily, or two cups of green tea daily. the experiment is to run for one year. the response variable will be the change in ldl cholesterol for each subject from the beginning of the study to the end. what type of experimental design is this?
The experimental design described is a randomized controlled trial.
In a randomized controlled trial, participants are randomly assigned to different treatment groups. This helps to ensure that the groups are similar at the start of the study, which makes it easier to compare the effects of the different treatments.
The groups are : Placebo groups , one cup of green tea and one cup of placebo group and the two cups of green tea group.
Therefore, the experimental design described above is the randomized controlled trial.
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Dylan enjoys ramen noodles and music downloads. His monthly budget for these two items is 15 dollars. If the price of a package of ramen noodles is $1.48 and the price of a music download is $1.15, what is Dylan's opportunity cost of a music download? (Round your answer to the nearest tenth. For example: 1.4).
Data:
• Monthly budget: $15
,• Price of a package of ramen: $1.48
,• Price of a music download: $1.15
Procedure:
\(\frac{15}{1.48}\approx10.1\)Answer: 10.1
Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places.
p-value =
A confidence interval can be used to define a range of plausible values for an unknown parameter, like the variance ratio.
variances of two portfolios with sample variances of s1^2 and s2^2. Let's calculate the confidence interval for the ratio of population variances 05 using the given information.
\((s1^2 / s2^2) * (Fα/2),v2, v1 ≤ (s1^2 / s2^2) * (F1-α/2),v1,v2\)
\((s1^2 / s2^2) * (Fα/2),v2, v1 ≤ (s1^2 / s2^2) * (F1-α/2),v1,v2= (0.0049 / 0.0064) * (2.377) ≤ (0.0049 / 0.0064) * (0.414)= 1.8375 ≤ 1.2156\)
To find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg), the following steps should be taken:Null hypothesis, : ρ = 0Alternative hypothesis, Ha: ρ ≠ 0where ρ is the
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A jar contains 125 marbles. Given 2% of the marbles are green, 38% of the marbles are blue, and the rest are red, how many red marbles are in the jar?
Answer:
there are 5 red marbles in the jar
Step-by-step explanation:
I think this is the answer