Answer:
x=0, y=0
x=8, y=4
Step-by-step explanation:
y= 1/2x
y=1/2(0)
y=0
y=1/2x
y=1/2(8)
y=4
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. If you expect inflation rate to be 5 percent or lower, then calculate the real interest rate you are expecting to earn.
Answer:
Real interest rate= 3%
Step-by-step explanation:
Giving the following information:
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.
The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.
Real interest rate= nominal interest rate - inflation rate
Real interest rate= 0.08 - 0.05= 0.03
The financial statements of the Blue Spruce Corp. reports net sales of $624000 and accounts receivable of $82800 and $45600 at the beginning of the year and end of year, respectively. What is the average collection period for accounts receivable in days
The average collection period for accounts receivable in days for Blue Spruce Corp. is approximately 59.9 days.
To calculate the average collection period, we need to determine the average accounts receivable balance. We can do this by adding the beginning and ending accounts receivable balances and dividing the sum by 2. In this case, the average accounts receivable balance is ($82,800 + $45,600) / 2 = $64,200.
Next, we need to divide the net sales by the average accounts receivable balance and multiply the result by 365 (the number of days in a year). This gives us ($624,000 / $64,200) * 365 = 3.579 * 365 ≈ 1,306.135.
Therefore, the average collection period for accounts receivable is approximately 59.9 days. This means it takes Blue Spruce Corp. around 59.9 days, on average, to collect payment from its customers. A lower average collection period is generally preferable, as it indicates quicker cash flow and better liquidity for the company.
Learn more about average here:
https://brainly.com/question/24057012
#SPJ11
(x, y) → (x + 5, y − 4), what are the coordinates of point L′?
Answer: (5,-4)
Step-by-step explanation:
start at zero and go right five because of the adding of five
Then go down 4 because of the minus of zero.
(ILL MARK BRAINLIEST) The following two-way table shows the data for the students of two different grades in a school:
Member of Public Library Not Member of Public Library Total
Grade 6
25
3
28
Grade 7
23
7
30
Total
48
10
58
Based on the relative row frequency, the students of which grade are more likely to be members of the public library?
Answer:
6th
Step-by-step explanation:
the chart says not, 7th has majority
if a car salesman makes $1100 a month plus a 3% commission on all sales, how much money did he make in a month where all his sales totaled $120,000?
Answer:
Step-by-step explanation:
Stop Cheating.
what is the dividend yield on Stock A that sells 15$/share, when company A pays a quarterly dividend of $0.15 per share
Answer: The dividend yield on Stock A = 0.04
Step-by-step explanation:
Given: quarterly dividend = $0.15 per share
Annual dividend per share = 4 x 0.15 = $0.6 [1 year = 4 quarters]
Stock's price per share = $0.15
The computation of dividend is given by :-
Dividend yield = (annual dividend per share) divided by (the stock's price per share).
Here, Dividend yield = (0.6) ÷ 15 = 0.04
Hence, the dividend yield on Stock A = 0.04
The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's weight. How many pounds does Bob weigh?
Answer:
120 pounds
Step-by-step explanation:
We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:
j + b = 180
b - j = 1/2b
Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)
\(b - j = \frac{b}{2}\\\frac{b}{2} - j = 0\)
Now we can solve using the process of elimination.
\(b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120\)
Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.
\(120 + j = 180\\j = 180-120\\j = 60\)
So Bob weighs 120 pounds and Jim weight 60 pounds.
Hope this helped!
Answer:
Bob weighs 120 pounds
Step-by-step explanation:
Our first equation will be J(Jim) + B(Bob) = 180 pounds. Our second equation will be 2J = B because it says " if you subtract Jim's weight from Bob's weight, you get half of Bob's weight." This is basically saying that Jim is half of Bob's weight. So that's why our second equation is 2J=B. In our first equation, J+b=180, if we substitute b for 2J, our second equation, then we get the equation 3J = 180. After dividing 3 from both sides, we get j=60. Since Bob weighs twice as much as Jim, his weight will be 120. Now if we want to double-check, we can substitute Jim and Bob's weight for all of the equations.
1) 60 + 120 = 180 This equation is correct
2) 2(60) = 120 This is correct because 2 times 60 equals to 120
3) 3(60) = 180 This is correct because 60 times 3 equals to 180
g puppy prediction puppies have been used to predict the winning basketball teams for the ncaa tournament. the current record for prediction is 347 wins out of 652 picks. is it reasonable to say that the puppies can predict a win the majority of the time? choose the correct null and alternative hypothesis.
It is reasonable to say that the puppies can predict the winning basketball teams for the NCAA tournament the majority of the time.
Based on the given information, we need to choose the correct null and alternative hypothesis that determines if it is reasonable to say that puppies can predict the winning basketball teams for the NCAA tournament the majority of the time.
Null Hypothesis (H0): It is not reasonable to say that the puppies can predict the winning teams of the NCAA tournament the majority of the time. Alternative Hypothesis (Ha): It is reasonable to say that the puppies can predict the winning teams of the NCAA tournament the majority of the time.
To determine whether it is reasonable to say that puppies can predict a win the majority of the time, we need to perform the hypothesis test using the given data. Here, p = 347/652 = 0.5317 = 53.17%, which is the proportion of correct predictions. The sample size is 652, which is greater than 30, so we can use a normal distribution for the hypothesis test.
Let’s assume a significance level of α = 0.05. Therefore, the critical z-value for a two-tailed test is:
zα/2 = ±1.96.Z = (p - P) / √ (P (1 - P) / n)
Where, p = proportion of correct predictions = 0.5317 (from given data)
P = proportion of correct predictions assumed under null hypothesis = 0.5 (no significant difference)
n = sample size = 652Z = (0.5317 - 0.5) / √ [(0.5 × 0.5) / 652]= 2.23 (approx)
The calculated value of z is 2.23 which is greater than the critical value 1.96 at a 5% level of significance. Thus, we can reject the null hypothesis.
You can learn more about the NCAA tournament at: brainly.com/question/31863944
#SPJ11
what is the equation for these tables?
¡cuantas unidades se deben producir para que el costo sea el más bajo posible?
\(c(x)=800-10x+0.25x^{2}\)
find the values of x and y
\(\:\:\:\:\:\:\:\:\:\:\therefore\bf{x=3\:and\:y=1}\)
Solution
\(\:\:\:\bf{(2^{x+y},\:3^{x-y})=(16,9)}\)
\(\sf{Here,}\)
\(\:\:\:\star\tt{\:\:2^{x+y}=16\:and\:3^{x-y}=9}\)
\(\sf{Solving,}\)
\(\:\:\:\implies\tt{\:\:2^{x+y}=16}\)
\(\:\:\:\implies\tt{\:\:2^{x+y}=2^4}\)
\(\:\:\:\implies\tt{\:\:x+y=4}\)
\(\:\:\:\bf{\:\:x=4-y-----(i)}\)
\(\sf{Solving,}\)
\(\:\:\:\implies\tt{\:\:3^{x-y}=9}\)
\(\:\:\:\implies\tt{\:\:3^{x-y}=3^2}\)
\(\:\:\:\bf{\:\:x-y=2-----(ii)}\)
\(\sf{Putting\:the\:value\:of\:(i)\:in\:(ii),}\)
\(\:\:\:\implies\tt{\:\:4-y-y=2}\)
\(\:\:\:\implies\tt{\:\:4-2y=2}\)
\(\:\:\:\implies\tt{\:\:-2y=2-4}\)
\(\:\:\:\implies\tt{\:\:\cancel{-}2y=\cancel{-}2}\)
\(\:\:\:\implies\tt{\:\:y=\frac{\cancel{2}}{\cancel{2}}}\)
\(\:\:\:\bf{\:\:y = 1}\)
\(\sf{Putting\:y = 1\:in\:(i),}\)
\(\:\:\:\implies\tt{\:\:x=4-1}\)
\(\:\:\:\bf{\:\:x = 3}\)
\(\:\:\)
Each Friday, the school prints 400 copies of the school newsletter. The equation c = 400w models the relationship between the number of weeks and the total number of copies of the newsletters printed. What is true of the graph of this scenario?
what is the viable point"
Answer:
A viable point on the graph is ✔ (8, 3,200).
The values of w must be✔ any whole number.
Step-by-step explanation:
A compound event in which the outcome of one event is affected by the outcome of another event is considered _________ events.
Question 1 options:
A. dependent
B. independent
Answer:
if i didnt get anything mixed up it would be A. dependent
Step-by-step explanation:
When the outcome affects the second outcome, which is what we called dependent events. Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event.
Francesca and her family traveled out of state to visit family members. The first day they drove 238 miles. The second day they drove 55 more miles than the first day. Francesca wants to find the number of miles, m, they drove ok the second day. What equation could francesca use?
The equation that Francesca could use will be T = 238 + 55. And the number of miles on the second day will be 293 miles.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Francesca and her family made a trip out of state to see relatives. On a primary day, they traveled 238 miles. On the second day, they traveled 55 additional miles than the principal day.
Let 'T' be the travel miles in a day. Then the equation is given as,
T = 238 + 55
T = 293 miles
The equation that Francesca could use will be T = 238 + 55. And the number of miles on the second day will be 293 miles.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false
The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.
The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given that A has occurred.
It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.
In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.
In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.
To learn more about probability click on,
https://brainly.com/question/30648713
#SPJ4
(Chapter 14) fy(a,b) = limit as y approches b f(a,y)- f(a, b)/(y-b)
In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):
fy(a,b) = lim┬(y→b)〖[f(a,y) - f(a,b)]/(y - b)〗
Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
To see why this is the case, consider the following argument:
Let L be the limit in the expression given above.
Let h = y - b be the change in the y-coordinate from b to y.
Then, we can rewrite the limit as:
fy(a,b) = lim┬(h→0)〖[f(a,b + h) - f(a,b)]/h〗
This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].
As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.
Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).
To know more about tangent line,
https://brainly.com/question/31673722
#SPJ11
I'll send a screenshot of the problem. I'd really like an answer, please do your best!
Answer:
a). $(725 - 22t)
b). $99
Step-by-step explanation:
Expense account of the school has balance after 't' weeks = $(450 - 70t)
And fundraising account has the balance = $(275 + 48t)
a). Total amount in both the accounts after 't' weeks
= $(450 - 70t) + $(275 + 48t)
= $(450 + 275) + $(-70t + 48t)
= $(725 - 22t)
b). Total amount after 8 weeks
= $(725 - 22×8)
= $(275 - 176)
= $99
the rationale for avoiding the pooled two sampled t procdues for interferences is that
There are several rationales for avoiding the pooled two-sampled t procedures for inferences. Here are a few:In certain cases, the assumption of equal population variances may be wrong, causing the pooled t procedures to yield unreliable results.
In case the assumption of equal population variances is violated, Welch's t-test is more powerful than the pooled t-test.If the sample sizes of the two groups being compared are significantly unequal, the pooled t-test can produce misleading results, and Welch's t-test should be used instead.Therefore, the rationale for avoiding the pooled two-sampled t procedures for inferences is that the assumption of equal population variances might be inaccurate, causing unreliable and less efficient results.When comparing two population means, a two-sample t-test is commonly used. The pooled two-sample t-test is one of the most widely utilized methods for comparing means. It assumes that the two populations have equal variance, and it has been shown to be quite reliable when this assumption is valid.However, if the populations have unequal variances, this assumption can be incorrect, and the pooled t-test can yield unreliable results. If the population variances are not equal, the Welch's t-test is often used. It does not assume equal variances and is more powerful when this assumption is not met. When comparing two groups with different sample sizes, the t-test may produce misleading results if the variances are unequal. In this situation, Welch's t-test is used because it is more accurate and effective in these circumstances.
Thus, if we don't know if the variances of the populations are equal, we should avoid using the pooled t-test and instead use Welch's t-test, which is more powerful and does not require the equal variance assumption.
Learn more about Welch's t-test visit:
brainly.com/question/32450854
#SPJ11
The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?
0.27 goldfish per cubic foot
3.75 goldfish per cubic foot
33 goldfish per cubic foot
57 goldfish per cubic foot
Answer:
0.27 goldfish per cubic foot
Step-by-step explanation:
Find the density of the tank by dividing the number of goldfish by the volume of the tank:
12/45
= 0.27
So, the density of the tank is 0.27 goldfish per cubic foot
Answer:
0.27 is the answer
Step-by-step explanation:
I took the test :)
How would I write this as a simple equation?
y is equal to 500 divided by 27, x amounts of time (So if x=3, than 500 would be divided by 27, then the product would divided by 27, then that product is divided by 27.)
Please put it into a graphable equation format
The equation in a graphable format is y = 500/27x and value of y when x is 3 is 55.556
How to express the mathematical statement as an algebraic expression?The mathematical statement is given as:
y is equal to 500 divided by 27, x amounts of time
This can be rewritten as:
y is equal to 500 divided by 27,x
is equal to means =
So, we have
y = 500 divided by 27,x
divided by means /
So, we have
y = 500 / 27,x
This gives
y = 500/27x
When the value of x is 3, we have
y = 500/27 * 3
Evaluate
y = 55.556
Hence, the equation in a graphable format is y = 500/27x and value of y when x is 3 is 55.556
Read more about equations at:
https://brainly.com/question/13729904
#SPJ1
You are checking in a customer’s bag for a flight out of the country. There is a 50-pound weight limit per bag. The customer’s bag weighs 47 pounds. The country the customer is flying to needs the weight of the bag in kilograms to determine compliance.
Answer:
21.3188kg or 21.3kg
Step-by-step explanation:
As one kilogram is equal to 2.20462 pounds we can calculate the weight in kilograms by taking 2.20462 / 47 and we get 21.3188kg
The positive integers x and y are the two smallest positive integers for which the product of 360 and x is a square and the product of 360 and y is a cube. What is the sum of x and y?
The required sum of the positive integers x and y with the given condition of product of x and y as square and cube is equal to 85.
Two positive integers are x and y.
Product of 360 and x is a square.
Product of 360 and y is a cube.
Prime factors of 360 equals to ,
360 = 2³ × 3² × 5
To make a product of 360 and x as square ,
Multiply by 2 and 5 and 3 is already a perfect square.
x = 2 × 5
= 10
360 × 10 = 3600
Now , to make product of 360 and y as cube.
Multiply by 3 and 5² and 2 is already a perfect cube.
y = 3 × 5²
= 75
360 × 75 = 27000
Sum of the values of x and y is equal to,
x + y
= 10 + 75
= 85
Therefore, the sum of the positive integers x and y are 85.
Learn more about integers here
brainly.com/question/3669791
#SPJ4
sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions. a. random b. snowball c. stratified d. convenience
Random sampling is the correct answer. Which is option (A).
Sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is referred to as Random sampling.
What is sampling?
In statistics, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population. Sampling is frequently employed in social science research. The method employed to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is known as random sampling.
Content-loaded sampling refers to a form of sampling that is more sophisticated than simple random sampling.
In order to form a sample, it involves first determining which variables (or characteristics) are essential to the study, and then choosing people based on those variables, hence the name "content-loaded."On the other hand, in Stratified sampling, the population is divided into subgroups (strata) based on one or more characteristics that are expected to impact the study's outcomes. The proportion of people chosen from each group should reflect the group's percentage of the overall population.
Snowball sampling is a method for selecting a sample of individuals by locating others who share the characteristics being studied and asking them to suggest additional individuals who might participate in the study. Among the given options, (A) random sampling is the correct answer.
To know more about random sampling: https://brainly.com/question/13219833
#SPJ11
are 12/32 and 24/60 equivalent
Answer:Yes, 12/32 and 24/60 are equivalent.
Step-by-step explanation:
A 10% increase in cigarette prices has been found to result in a _____ decrease of smokers. a. 2% b. 4% c. 10% d. 20% please select the best answer from the choices provided. a b c d
A 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.
What is the effect of price increase in the demand for cigarettes?An increase in cigarette price will result in a decrease in the demand for cigarettes.
Since more money needs to be spent to but the same product, less consumers can be able to afford it.
Therefore, a 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.
Learn more about increase in price at: https://brainly.com/question/26526671
#SPJ4
Simplify the expression below
Answer:
− 4 x + 20
Step-by-step explanation:
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f(x)=2x−x2+1/3x3.⋯………. converges for all x, then f′′′(0)=2.
The statement given is false. The reason for this is that the convergence of a function does not necessarily imply anything about the value of its derivative. To disprove the statement, we can consider the function f(x) = x^2, which converges for all x, but its third derivative f'''(x) = 0, which means that f'''(0) is also equal to 0. Hence, f′′′(0) is not equal to 2.
In general, it is important to note that the convergence of a function does not provide any information about the behavior of its derivatives. Moreover, a function may converge at some points and diverge at others, and this can be determined by analyzing the behavior of its terms or by using convergence tests. In this case, it is necessary to compute f′′′(0) directly using the definition of the derivative or by applying differentiation rules.
To know more about statement visit:
https://brainly.com/question/32267897
#SPJ11
search for research that has utilized analytical tools mentioned in the readings (i.e., single-sample ztest, t tests) and identify why that analysis was appropriate for the data.
The given analytical tools:
a. The single sample z-test analysis is appropriate for the data where the sample size is large and all data points are independent. Where the standard deviation is given(known).
b. The single sample t-test analysis is appropriate for the data where the sample size is small and the population variation or standard deviation is unknown.
What is single sample z-test analysis?This is a type of hypothesis test where the sample means and the population means are compared when the population variance or the standard deviation are given(known).
z = (X - μ)/(σ/√n)
Where X - sample mean, μ - population mean, σ - population standard deviation, and n - sample size.
Here the sample size is large and all data points are independent.
What is single sample t-test analysis?This is a type of parametric hypothesis test where the sample means and the population means are compared when the population variance or the standard deviation are not given(unknown).
t = (X - μ)/(s/√n)
Where X - sample mean, μ - population mean, s - sample standard deviation, and n - sample size.
Here the sample size is small.
Learn more about z-test and t-test analysis here:
https://brainly.com/question/27921714
https://brainly.com/question/14275602
#SPJ1
Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer: Be sure you can justify your answers ~8 A T(A) = ASA-I from R2x2 to R2x2 where S = 55 B. T(A) = A from R2xs to R2x5 ~9 -2 C.T(A) = A from R to RZx2 D. T(A) = 2A from R6x4 to R6x4 ET(A) = A A from R2x2 to R 2x2 5 JET(A) = A+ Is from RSx5 to RSx5
A, C, and E are linear transformations. To justify: A: T(A) = ASA-I is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R2x2. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R2x2. This can be shown by plugging in kA for A in T(A) and simplifying.
C: T(A) = A from R to R2x2 is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R. This can be shown by plugging in kA for A in T(A) and simplifying.
E: T(A) = A from R2x2 to R2x2 is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R2x2. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R2x2. This can be shown by plugging in kA for A in T(A) and simplifying.
B, D, and J are not linear transformations.
To justify:
B: T(A) = A from R2xs to R2x5 is not linear because it does not satisfy the additivity property of linearity. Specifically, T(A+B) ≠ T(A) + T(B) for some matrices A and B in R2xs.
D: T(A) = 2A from R6x4 to R6x4 is not linear because it does not satisfy the homogeneity property of linearity. Specifically, T(kA) ≠ kT(A) for some scalar k and matrix A in R6x4.
J: T(A) = A+Is from RSx5 to RSx5 is not linear because it does not satisfy either the additivity or homogeneity properties of linearity. Specifically, T(A+B) ≠ T(A) + T(B) and T(kA) ≠ kT(A) for some matrices A and B in RSx5 and scalar k.
Learn more about linear here:
https://brainly.com/question/15830007
#SPJ11
What is the surface area of this figure? Round to the nearest tenth if necessary.
10 ft
12 ft
6 ft
8 ft