As per the given values, the after-tax salvage value is $435,200.
Amount required = $3,200,000
Time = 6 years
Calculating the accumulated depreciation -
Amount/ Number of years
= $3,200,000 / 6
= $533,333.3.
Calculating the accumulated depreciation at project end -
= 6 x $533,333.33
= $3,200,000.
Calculating the book value of the fixed assets -
Book value = Cost of fixed assets - Accumulated depreciation
= $3,200,000 - $3,200,000
= $0
Calculating the taxable gain or loss on the sale of the fixed assets -
Taxable gain/loss = Selling price - Book value
= $640,000 - $0
= $640,000
Calculating the tax liability -
Tax liability = Tax rate x Taxable gain
= 0.32 x $640,000
= $204,800
Calculating the after-tax salvage value -
After-tax salvage value = Selling price - Tax liability
= $640,000 - $204,800
= $435,200
Read more about salvage value on:
https://brainly.com/question/31441389
#SPJ4
2. Which of the following is the solution of the system of equations shown? A. (−3, −4) B. (–3, 4) C. (3, 4) D. (3, –4). Please show an explanation
ryan drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would he need to drive 286 miles?
The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.
Define the term inversely proportional?When two parameters are related, an inverse connection exists, where the value about one parameter usually falls as the value of other parameter rises. It's frequently referred to as a bad relationship. When one quantity increases or declines, the other quantity also rises or falls in direct proportion. On the other hand, in indirect and inverse proportion, if such quantity rises, the other one falls, and vice versa.As the stated question;
Total gallon of gas used to drive the 260 miles = 12 gallons
Let 'x' be the gallon of gas used to drive the 286 miles.
Then, bu using the proportion
12 / 260 = x / 286
Thus,
x = 286 x 12 / 260
x = 13.2 gallons
Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.
To know more about the inversely proportional, here
https://brainly.com/question/1266676
#SPJ4
a triangular fence is being built to surround a garden. if two of the side lengths must be 4 feet and 12 feet, which inequality could be solved to determine the minimum length of the third side?
The minimum length of the third side must be greater than 16 feet.
The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.
Learn more about Triangle inequality theorem here:
https://brainly.com/question/1163433
#SPJ4
The table below shows some values of x=y-4 for values of x from -2 to 8
What is A, B and C please
Answer:
everything you need to know can be found in the picture
What are the important variables in the problem below?
A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
OA. t for test, q for questions
B. s for short answer, t for test
OC. p for points, m for multiple choice
D. m for multiple choice, s for short answer
The required number of multiple-choice questions in this problem would be represented by the variable 'm'.
The important variables in the problem are:
t: Represents the test.
q: Represents the total number of questions on the test.
p: Represents the points assigned to each question.
m: Represents the number of multiple-choice questions.
s: Represents the number of short-answer questions.
From the given information, we can deduce the following equations:
The test is worth 50 points, so p * q = 50.
Multiple-choice questions are worth 1 point each, so m * 1 = p * m points in total.
Short-answer questions are worth 3 points each, so s * 3 = p * s points in total.
The test has a total of 20 questions, so q = m + s.
Based on these equations, we can see that the correct variables to represent the important aspects of the problem are:
C. p for points, m for multiple choice
Thus, the number of multiple-choice questions in this problem would be represented by the variable 'm'.
Learn more about variables here:
https://brainly.com/question/15078630
#SPJ1
If the alternative hypothesis is that proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be _____.
If the alternative hypothesis is that the proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be that there is no significant difference in the proportion of items between population 1 and population 2.
Based on the information provided, the null hypothesis should be:
The null hypothesis is that the proportion of items in population 1 is less than or equal to the proportion of items in population 2.
This is denoted as H₀: P₁ ≤ P₂. The alternative hypothesis, as you mentioned, is that the proportion of items in population 1 is larger than the proportion of items in population 2, which is represented as H₁: P₁ > P₂.
to learn more about hypothesis click here:
brainly.com/question/29133217
#SPJ11
HELP ME PLEASE WITH A P E X
Answer: 2
Step-by-step explanation:
Answer: D
Step-by-step explanation: It's 3 by the pythagorean theorem.
In phase 2 of a three-phase clinical trial to test the efficacy of the BNT163b2 mRNA vaccine for COVID-19, participants were randomly assigned to receive either the vaccine or a placebo. In the placebo group, 18,325 participants with no evidence of infection received placebo injections and 162 eventually contracted COVID-19. Of the 18,198 participants with no evidence of infection who received the vaccine, 8 eventually contracted COVID-19. Conventional wisdom suggested that the infection rate for COVID-19 was about 3%. Assume that the 18,325 people who received the placebo represent a simple random sample of all people with no prior evidence of infection and have not been vaccinated. Let's say you carry out a hypothesis test of significance to determine if there is evidence from this sample that the proportion of unvaccinated people who catch the virus is not 0.03. Compute the one-sample z- statistic. Give your answer to at least one decimal place.
The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.
In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.
The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:
z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7
As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.
Learn more about z-statistic here:
https://brainly.com/question/30904553
#SPJ11
The graph of a system of equations with the same slope and the same y-intercepts will have no solutions. (1 point)
Always
Sometimes
Never
Answer:
Never
Step-by-step explanation:
If the slope is the same and the y-intercept is the same
They are the same line
2x + 5 = y is the same as 2x +5 = y
Answer:
Never
If the slope is the same and the y-intercept is the same
Solve 4x2−10x−6=0 using the Quadratic Formula.
Answer:
x=−1
x=−1.5
:DDDD
Write 207/51 as a mixed number in simplest terms.
4 207/51
4 2/27
4 6/51
4 1/17
Answer:
The answer is 4 1/17 !! I like your pfp btw :>
how many terms are in the following expression?
The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.
How to find the number of terms ?In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:
62 x- 4 y 5 zEach term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.
Find out more on the number of terms at https://brainly.com/question/30659621
#SPJ1
The full question is:
How many terms are in the following expression 6 + 2 x - 4 y + 5 z
Solve each equation using the substitution method.
1/4 v = 5
what is The distance from Phoenix, Arizona, to Jacksonville, Florida, is 1 795 miles. 5.1 Use the line of best fit to predict the length, in minutes, of a direct flight from Phoenix to Jacksonville
Answer:
this is your answe
Step-by-step explanation:
The total straight line flight distance from Jacksonville, FL to Phoenix, AZ is 1,795 miles. This is equivalent to 2 888 kilometers or 1,559 nautical miles.
A one-question survey is to be distributed to a random sample of 1500 adults in Ohio. The question asks if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. What is the mean, , of the sampling distribution of ?
a.
40% ± 5%
b.
6%
c.
5%
d.
0.40
They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.
Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data
set. The mean, median and mode are the three commonly used measures of central tendency.
To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of
values.
The mean, μ, of the sampling distribution of p can be found using the formula
μ = p,
where p is the proportion of adults in the entire population who support the increase.
In this case, 40% of all adults in Ohio support the increase, so p = 0.40.
Therefore, the mean of the sampling distribution of p is:
μ = 0.40
So the correct answer is (d) 0.40.
for such more question on Mean
https://brainly.com/question/14532771
#SPJ11
Ally ran 5 miles in 36 minutes. If Ally runs at the same rate, how long would it take her to run 1 mile?
Answer:
7.2 Minutes
Step-by-step explanation:
Use Ratios
Miles : Minutes
5:36
Divide Both Sides By 5
1:7.2
It will Take Ally 7.2 Minutes To Run 1 Mile
There are 18 students attending band camp,4 girls and 14 boys. wht is the ratio of girls to boys at band camp?
A. 7:2
B.2:7
C. 8:3
Answer:
B
Step-by-step explanation:
4÷2=2
14÷2=7
making it a equal ratio
Item 14 The endpoints of $\overline{AB}$ are $A\left(7,\ 8\right)$ and $B\left(-2,\ 3\right)$ . Find the coordinates of the midpoint M. Coordinates of midpoint M: ( , )
Answer:
(2.5, 5.5)
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as;
M(X, Y) = {(x1+x2/2, y1+y2/2)}
X = x1+x2/2
Y = y1+y2/2
Given the coordinates (7, 8) and (-2, 3)
X = 7-2/2
X = 5/2
X = 2.5
Y = y1 + y2/2
Y = 8+3/2
Y = 11/2
Y = 5.5
Hence the midpoint M of the coordinates is (2.5, 5.5)
What is an equation of the line that passes through the points (-2,7) and (-8,4)
Answer: y = (1/2)x + 8
Step-by-step explanation:
Slope: (4-7)/(-8--2) = (-3)/(-6) = 1/2
y = (1/2)x + b
7 = (1/2)-2 + b
7 = -1 + b
8 = b
y = (1/2)x + 8
Let m, n ∈ N. If m ≠ n, there exists no bijection [m] → [n]. induction on n and with these proposition There exists no bijection [1] → [n] when n > 1. Proposition 13.2. If f : A + B is a bijection and a E A, define the new function F:A – {a} →B-{f(a)} by f(x):= f(x). Then f is well defined and bijective. Proposition 13.3. If 1 k
I apologize, but the question seems to be incomplete as there is no statement following "Proposition 13.3. If 1 k". Please provide the complete statement so I can assist you better.
To know more about bijection refer here:
https://brainly.com/question/13012424
#SPJ11
A certain gym teacher has a class of 20 students. He wants to divide them into four teams of five students each in order to have a class basketball tournament. (a) How many different ways can he divide the team into four teams? (b) Tommy and Bobby are two of the students in the class and are best friends. Assuming the gym teacher assigns students in a completely random fashion, what is the probability that they get selected to be on the same team? (c) Neither boy wants to be on a team with Frank, the class bully. What is the probability that neither Tommy nor Bobby end up on the same team as Frank?
The probability that neither Tommy nor Bobby end up on the same team as Frank is 0.0002.
(a) In order to divide 20 students into four teams of 5 students each, the teacher can begin by selecting the first team. Since there are 20 students to choose from, the teacher can choose the first team in 20C5 ways (20 choose 5).
Once the first team has been selected, there are 15 students remaining to choose from for the second team, so the teacher can choose the second team in 15C5 ways.
For the third team, there are 10 students left to choose from, so the teacher can choose the third team in 10C5 ways.
Finally, there are only 5 students remaining to choose from for the fourth team, so the teacher can choose the fourth team in 5C5 ways.
Using the counting principle, the total number of ways that the teacher can divide the 20 students into four teams of five students each is the product of the number of ways that the teacher can choose each team.
Hence, the number of ways that the teacher can divide the class into four teams is:20C5 × 15C5 × 10C5 × 5C5= 155, 04, 00
(b) There are a total of 20 students in the class and five students are chosen for each team. Therefore, there are a total of 4 teams.
The total number of ways to choose 5 students from 20 students is 20C5 = 15,504.
The total number of ways Tommy and Bobby can be in the same team is to choose 3 other students out of 18 students excluding Tommy and Bobby.
The number of ways is 18C3 = 8,424.
The probability that Tommy and Bobby get selected to be on the same team is the ratio of the favorable outcomes to the total number of outcomes.
Therefore, the probability is:8,424/15,504 = 0.5435 or 54.35%
(c) There are a total of 17 students left after excluding Tommy, Bobby, and Frank. The number of ways to select a team of 5 from 17 students is 17C5 = 6,188.
There are 3 teams where Tommy, Bobby, and Frank are not together.
The total number of ways to choose three teams out of four where Tommy, Bobby, and Frank are not together is:3C3 × 1C1 = 1
The total number of ways that Tommy and Bobby are not together in a team is the product of the number of ways that the teacher can choose three teams out of four where Tommy, Bobby, and Frank are not together and the number of ways that the teacher can choose 5 students from each team.
Therefore, the total number of ways is:1 × 6,188 × 6,188 × 6,188 = 2.61 × 10¹⁰
The total number of ways to choose four teams from 20 students is 20C5 × 15C5 × 10C5 × 5C5 = 15,504,000
The probability that neither Tommy nor Bobby end up on the same team as Frank is the ratio of the favorable outcomes to the total number of outcomes.
Therefore, the probability is:2.61 × 10¹⁰ / 15,504,000 = 1.683 × 10³ or 0.0001683 ≈ 0.0002
Thus, There is a 0.0002 percent chance that neither Tommy nor Bobby join Frank's team.
learn more about probability from given link
https://brainly.com/question/13604758
#SPJ11
Tell whether the following statements are always true, sometimes true or always false./p>
a. If a positive is subtracted from a negative integer, the difference is a negative integer.
b. If a positive integer is subtracted from a positive integer, the difference is a positive integer.
Each statement about integer is:
"If positive is subtracted from a negative integer, the difference is negative integer" can be sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer."If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer" is sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer.Statement A: If positive is subtracted from a negative integer, the difference is negative integer.
This statement is sometimes true.
If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.
Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.
This statement is sometimes true.
If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.
Learn more about Integer here: brainly.com/question/11486291
#SPJ11
What is the value of x in this figure? Enter your answer in the box. hexagon
Rewrite one fourth times x cubed times y plus three fourths times x times y squared using a common factor.
one fourth times x times y times the quantity x squared plus 3 times y end quantity
one fourth times x cubed times y squared times the quantity y plus 3 times x end quantity
one half times x times y times the quantity 2 times x squared plus 6 times y end quantity
one half times x times y times the quantity x squared plus 3 times y end quantity
The expression 1/4x³y + 3/4xy² can be rewritten as: A. 1/4xy(x² + 3y).
How to Rewrite an Expression?We can rewrite an expression by using a factor that is common in an expression.
Given the expression, 1/4x³y + 3/4xy², the common factor in the expression that we can factor out is 1/4xy.
To rewrite the expression, we have the following:
1/4xy into 1/4x³y will give us x²
1/4xy into 3/4xy² will give us 3y.
This will give us: 1/4xy(x² + 3y).
Therefore, the expression 1/4x³y + 3/4xy² can be rewritten as: A. 1/4xy(x² + 3y).
Learn more about rewriting an expression on:
https://brainly.com/question/14472860
#SPJ1
Answer:
A. one fourth times x times y times the quantity x squared plus 3 times y end quantity
Step-by-step explanation:
Hope this helps you :)
Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
t = ???
P = 2,200
I = 528
r = 12%
528 = 2,200(t x 1)
t = 528/2,200
t = 0.24
t = 0.24 x 100 = 24%
You're welcome.
Write the following numbers in order, starting from the smallest. \(5/11,\) \(\sqrt{2},\) \(45.4/100,\) \(9/20\)
Answer:
\(9/20,\) \(45.4/100,\) \(5/11,\) \(\sqrt{2}\)
Step-by-step explanation:
Convert the values into decimals.
\(5/11=0.45454545454\)
\(\sqrt{2}=1.41421356237\)
\(45.4/100=0.454\)
\(9/20=0.45\)
With decimals, it is especially important to understand place value.
\(0.45454545454, 1.41421356237, 0.454, 0.45\)
Order from smallest to largest.
\(0.45, 0.454, 0.45454545454, 1.41421356237\)
\(9/20,\) \(45.4/100,\) \(5/11,\) \(\sqrt{2}\)
You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profit as the function P(x) = 3x3 - 6x2 - 9x. Create a sketch of the graph without using technology. Include the number of turns needed, the y-intercept, the zeros and the end behavior.
Answer:
x axis: -1, 0, -3
Step-by-step explanation:
a website password must include at least 5 letters and 5 numbers. how many ways can you arrange 5 letters from 26 for your password, if the letters must all be distinct?
You arrange 5 letters in 7893600 ways
How many ways can you arrange 5 lettersFrom the question, we have the following parameters that can be used in our computation:
Letters to use = 5
Total available letters = 26
The letters are distinct
This means that the letters cannot be repeated
So, we have
First = 26, Second = 25 ....... Fifth = 22
Using the above as a guide, we have the following:
Ways = 26 * 25 * 24 * 23 * 22
Evaluate
Ways = 7893600
Hence, the arrangement is 7893600
Read more about combination at
https://brainly.com/question/11732255
#SPJ1
Use a graph to find x and y values that make both
y = x + 3 and y = 2x – 5 true.
YA
6
5 4
NW
-8 7 6 5 4 3 -2 -10
NE
4
6 7 8 x
-2
-3
The x-value is
The y-value is
The solution is
Step-by-step explanation:
The given equations are :
y = x + 3 .....(1)
y = 2x – 5 ......(2)
The table for equation (1) is :
x = 0, 1, 2, 8
y = 3, 4, 5, 11
The table for equation (2) is :
x = 0, 1 , 2, 8
y = -5, -3, -1, 11
From the graph we can see that,
The x-value is = 8
The y-value = 11
The solution is = (8,11).
The x-value is = 8, the y-value = 11 and the solution is = (8,11)
How to determine the equation solutions?The equations are given as:
y = x + 3
y = 2x - 5
Next, we plot the graph of the equations
From the graph of the equations, we have:
(x,y) = (8, 11)
Hence, the x-value is = 8 and the y-value = 11
So, the solution is = (8,11)
Read more about graphed equations at:
https://brainly.com/question/14323743
What is the decimal multiplier to decrease by 2.7%?
Answer:
2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.