Loan ComparisonLoan 1 Loan 2Principal $5000.00 $5000.00Interest4%4%RateMonthly $148.00 $113.00PaymentHow much moneywill a borrowerusing Loan 1 pay ininterest over thelife of the loan?Duration 36 months 48 monthsB. $328.00A. $424.00D. $592.00C. $452.00
Step-by-step explanation:
The loan borrowed = $5000.00 at 4% interest rate
Monthly payment for the loan = $148 for 36 months
The total amount paid after 36 months = $148 x 36
Total amount =
Graph and label each cell phone plan as accurately as possible. You need a ruler or straight edge
See attachment for the graph of cell phone plan 1: y= 7.5x and cell phone plan 2: y= 5.5x + 10.1
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to graph and label each cell phone plan?The cell phone plans are given as:
Cell phone plan 1: y= 7.5x
Cell phone plan 2: y= 5.5x + 10.1
To plot the graph of both plans, we make use of the following domain for both cell phone plans
Domain: x >= 0
Next, we set x = 0, 1, 2, 3, 4 and 5 for both plans
So, we have:
Cell phone plan 1
y= 7.5x
When x = 0, y = 7.5 * 0 = 0
When x = 1, y = 7.5 * 1 = 7.5
When x = 2, y = 7.5 * 2 = 15
When x = 3, y = 7.5 * 3 = 22.5
When x = 4, y = 7.5 * 4 = 30
When x = 5, y = 7.5 * 5 = 37.5
Cell phone plan 2
y= 5.5x + 10.1
When x = 0, y = 5.5*0 + 10.1 = 10.1
When x = 1, y = 5.5 * 1 + 10.1 = 15.6
When x = 2, y = 5.5 * 2 + 10.1 = 21.1
When x = 3, y = 5.5 * 3 + 10.1 = 26.6
When x = 4, y = 5.5 * 4 + 10.1 = 32.1
When x = 5, y = 5.5 * 5 + 10.1= 37.6
Next, we plot both graphs on the domain x >= 0
See attachment for the graph of cell phone plan 1: y= 7.5x and cell phone plan 2: y= 5.5x + 10.1
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How do you state if the triangles in each pair are similar?
If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.
To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.
To state if the triangles in each pair are similar, follow these steps:
1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.
2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.
3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.
For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.
Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.
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10) On Monday, Dave drove exactly m miles. On Tuesday, he drove 112 fewer milder than he
drove on Monday. Write an expression that represents the total number of miles Dave drove on
both days?
Answer:
2m = 112
Step-by-step explanation:
monday = m
Tuesday = m - 112
therefore total = m + (m -112)
answer = 2m = 112
Help meeeeeeeeeeplease
Answer:
The answer is 8/5. Hope you do great!:)
Step-by-step explanation:
Florence and Anna are preparing meals to serve at a local homeless shelter. The number of people they will be able to serve depends on the number of meals they prepare. p = the number of people Florence and Anna will be able to serve m = the number of meals Florence and Anna prepare Which of the variables is independent and which is dependent?
A)p is the independent variable and m is the dependent variable
B) m is the independent variable and p is the dependent variable
B) m is the independent variable and p is the dependent variable.
Its given in question,
The number of people they will be able to serve depends on the number of meals they prepare. p = the number of people Florence and Anna will be able to serve m = the number of meals Florence and Anna prepare.
Which means people served depends on the meals prepared.
Therefore, p depends on m.
Hence, m is the independent variable and p is the dependent variable.
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Describe and correct the error in finding the product of the binomials
The 5 in the left column should be -5
The correct product is ____
Answer:
Solution given:
(x-5)(3x+1)
distribute
x(3x+1)-5(3x+1)
3x²+x-15x-5
3x²-14x-5 is a correct product
error is:
you need to put -(sigh) infront of 5.which gives
-15x and -5
and finally we get
3x²-14x-5
Which of these strategies would eliminate a variable in the system of equations?
2x- 6y=6
6x - 4y = 2
Choose all answers that apply: more than 1
Multiply the bottom equation by 3 then subtract the bottom equation from the top equation
Multiply the bottom equation by -3/2 then add the equations.
Multiply the top equation by-3. then add the equations
Answer:
Multiply the bottom equation by -3/2 then add the equations.
Multiply the top equation by-3. then add the equations
Step-by-step explanation:
Given the simultaneous equation
2x- 6y=6 ... 1
6x - 4y = 2 ... 2
To eliminate a variable, we have to make the coefficient of one of the variable to be the same.
Multiply equastion 1 by -3
-6x+18y= -18
6x - 4y = 2
Add the result:
-6x + 6x + 18y-4y = -18+2
18y-4y = -18+2
14y = -18
y = -9/7
Another way is to Multiply the bottom equation by -3/2 then add the equations.
Multiplying equation 2 by -3/2 will give;
6x(-3/2) - 4y(-3/2) = 2(-3/2)
-9x + 6y = -3
Add to equation 1;
2x- 6y=6
-9x + 2x + 0 = -3+6
-7x = 3
x = -3/7
Hence the correct two options are;
Multiply the bottom equation by -3/2 then add the equations.
Multiply the top equation by-3. then add the equations
Given that x = 6 and y = -4, evaluate the following expression.
does anyone know where to find this packet or the answers to this
Answer:
look up the packet name and after that put answer key
Step-by-step explanation:
.
What is the probability that the reader’s favorite is Rowling given that the reader is a teen?
Leave the answer in decimal form to 3 decimal places.
Answer:
Probability = 0.500
Step-by-step explanation:
If it is given that the reader is a teen, we have a total of 80 readers, where 40 of those readers have Rowling as their favorite.
So the probability that the reader's favorite is Rowling given that the reader is a teen is the number of teen readers that have Rowling as favorite (40) over the total number of teen readers (80)
Probability = 40 / 80 = 0.500
In Roger's state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly unemployment is 65% of that amount. In the quarter of January, February, and March, Roger made a total of $14,950.80. In the quarter of April, May, and June, he made a total of $15,250.10. Find Roger's weekly unemployment amount. please show work
Roger's weekly unemployment amount is $755.02
What is unemployment compensation?Unemployment compensation is a monetary benefit unemployed people receive to help them cover basic needs such as housing and food.
How to calculate the weekly unemployment amount?Fortunately, to calculate the weekly unemployment amount you only need to follow the steps for Roger's state.
1. Find the total of the quarterly wages of two consecutive quarters.
$14,950.80 + $15,250.10 = $30,200.92. Divide the total by 26.
$30,200.9 / 26 = 1, 161.573.Find the 65%
1,161.57 / 100 = 11.615711.6187 x 65 = 755.02Learn more about amounts in: https://brainly.com/question/1227546
what type of energy would be associated with pulling a bucket out of the well?
Answer:
Hello there
Step-by-step explanation:
The meaning of the potential energy is that movement of a test body from a larger radius to a smaller radius involves doing work against the centrifugal force. The potential energy is useful, for example, in understanding the concavity of the water surface in a rotating bucket
In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union. Question 10 options: (34.9618, 35.0382) (0.29, 0.41) (0.3118, 0.3882) 210 (0.0396, 0.0771)
The 95% confidence interval of true proportion of workers who belong to a union is; CI = (0.29, 0.41)
How to find the Confidence Interval?
We are given;
Sample size; n = 600
Sample proportion; p = 35% = 0.35
Formula for confidence interval is;
CI = p ± z√(pq/n)
The z-score at 95% confidence interval is z = 1.96
Thus;
CI = 0.35 ± 1.96√(0.35(1 - 0.35)/600)
CI = (0.29, 0.41)
Thus, the 95% confidence interval of true proportion of workers who belong to a union is; CI = (0.29, 0.41)
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In a sale normal prices are reduced by 10% Angelina bought a pair of shoes in the sale for £54 what was the original pricee of the shoes?
Answer:
£60
Step-by-step explanation:
Given that
The cost after reduction = £54
So, 90% = £54
We have to find 100%
To do so, find 10% and ,multiply that by 10
90% = £54
10% = 54/9 = £6
1005 = 6x10 = £60
Hope this helps,.
Please mark brainiest
There are 10 boys and 10 girls. What is the probability that 2 boys will be chosen
Answer:
about 24%
Step-by-step explanation:
1/2 times 9/19
0.5 times 9/19
is about 0.24
0.25 mean about 24%
Answer:
Approximately 24%.
Step-by-step explanation:
There are \(_{10}C_2=45\) ways of choosing two boys and \(_{20}C_2=190\) ways of choosing two kids (boys or girls). So the probability of getting two boys is \(45/190=0.23684210526\).
Can someone please help me???
A result is called "statistically significant" whenever. O The null hypothesis is true. O The significant level a = 0.05. O The p-value Greaterthanorequalto 0.05. O The p-value is less than the significant level.
A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.
This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.
The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.
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help solving inequalities true or false (middle school) first person to answer i’ll give brainliest please!!!
Answer:
aef true and bcd false
hope u get well in your exams
Step-by-step explanation:
ASAP,What are the possible solutions to a system of equations and What does it mean for a system of equations to have one Solution, no solution, infinite many solutions?
(its an essay so plz explain it to me)
Answer:
ok for the first one the lines only cross once 2. lines dont cross 3. its just one line
Step-by-step explanation:
im pretty sure thats right
write the equation of the line in fully simplified slope intercept form
Answer:
y= -2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
b=-6
plug the answers in to get y= -2/3x-6
How can we use a graph to tell that two populations are equal?
Answer: You can see if the graphs of the two populations meet at a given point.
Step-by-step explanation:
If we have a graph of population vs time
such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.
find the work required to move an object in the force field f=x,4 along the straight line from a(0,0) to b(4,2). check to see whether the force is conservative.
The work required to move the object from A to B in the force field is 64 units. The force field F = (x, 4) is not conservative.
To find the work required to move an object in a force field from point A to point B, we can integrate the dot product of the force vector and the displacement vector along the path.
Given the force field F = (x, 4) and the points A(0, 0) and B(4, 2), we can calculate the work as follows:
Determine the displacement vector from A to B:
Δr = B - A = (4, 2) - (0, 0) = (4, 2)
Calculate the dot product of the force vector and the displacement vector:
W = ∫F · dr = ∫(x, 4) · (4, 2) dr
Integrate with respect to x:
W = ∫(4x + 8) dx = 2x^2 + 8x + C
Evaluate the integral limits from x = 0 to x = 4:
W = [2x^2 + 8x]₀^₄ = 2(4)^2 + 8(4) - (2(0)^2 + 8(0))
= 32 + 32 - 0 = 64
Therefore, the work required to move the object from A to B in the force field is 64 units.
To determine if the force field is conservative, we need to check if the curl of the force vector is zero. Taking the curl of F = (x, 4):
∇ × F = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y)
= (0 - 0, 0 - 1, 1 - 4)
= (0, -1, -3)
Since the curl of the force vector is not zero, the force field F = (x, 4) is not conservative.
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Shakira and Evelyn disagree on the method used to find the perimeter of an equilateral triangle whose side measures 4n-2. Whose method is correct? Explain. Shakira's method: 3(4n-2) Evelyn's method: (4n-2)+(4n-2)+(4n-2)
Answer:
Both are correctStep-by-step explanation:
All the sides of an equilateral triangle are equal. Hence;
Perimeter of an equilateral triangle = 3S
S is one of the side length
Given;
S = 4n-2
Perimeter of the triangle = 3(4n-2)
This can also be expressed as P = S + S + S
P = (4n-2) + (4n-2) + (4n-2)
This shows that both methods are correct
what is the Evaluate of
1. 8!=
2.
10!=
3. 6!=
10!
9!!
4.
5.
7!
4!2!
Answer:
632,814 - The value of the digit 6 is 6 hundred-thousands, or 600,000. 632,814 - The value of the digit 3 is 3 ten-thousands, or 30,000. 632,814 - The value of the digit 2 is 2 thousands, or 2,000. 632,814 - The value of the digit 8 is 8 hundreds, or 800.
Answer:
8!=40320
10!=3628800
6!=720
7!=5040
4!=24
2!=2
Let u = (1,0, -1), v = (4,3,-2), and w = (2, 3, -2). Find the orthogonal projection of w into the plane spanned by the vectors u and v. Show that the matrix A is orthogonal if and only if its transpose A⁻ is orthogonal.
The transpose of A⁻¹ is the inverse of the transpose of A⁻¹, which implies that if A⁻¹ is orthogonal, then A is orthogonal. Therefore, we have shown that the matrix A is orthogonal if and only if its transpose A⁻¹ is orthogonal.
To find the orthogonal projection of vector w into the plane spanned by vectors u and v, we need to calculate the projection vector proj_w(uv).
First, we calculate the normal vector n of the plane. The normal vector is obtained by taking the cross product of vectors u and v:
n = u x v
= (1, 0, -1) x (4, 3, -2)
The cross product can be calculated as follows:
n = ((0)(-2) - (-1)(3), (-1)(4) - (1)(-2), (1)(3) - (0)(4))
= (-3, -6, 3)
Next, we normalize the normal vector n to obtain the unit normal vector n:
n = n / ||n||
= (-3, -6, 3) / √(9 + 36 + 9)
= (-3, -6, 3) / √54
= (-1/√6, -2/√6, 1/√6)
Now, we can calculate the projection of vector w onto the plane using the formula:
proj_w(uv) = w - ((w · n) / (n · n)) * n
The dot product of w and n is given by:
w · n = (2)(-1/√6) + (3)(-2/√6) + (-2)(1/√6)
= -2/√6 - 6/√6 - 2/√6
= -10/√6
The dot product of n and n is:
n · n = (-1/√6)(-1/√6) + (-2/√6)(-2/√6) + (1/√6)(1/√6)
= 1/6 + 4/6 + 1/6
= 6/6
= 1
Substituting these values into the projection formula, we have:
proj_w(uv) = (2, 3, -2) - ((-10/√6) / 1) * (-1/√6, -2/√6, 1/√6)
= (2, 3, -2) + (10/√6)(-1/√6, -2/√6, 1/√6)
= (2, 3, -2) + (-10/6, -20/6, 10/6)
= (2, 3, -2) + (-5/3, -10/3, 5/3)
= (2 - 5/3, 3 - 10/3, -2 + 5/3)
= (1/3, 1/3, -1/3)
Therefore, the orthogonal projection of vector w into the plane spanned by vectors u and v is (1/3, 1/3, -1/3).
Now, let's prove the statement that the matrix A is orthogonal if and only if its transpose A⁻¹ is orthogonal.
To prove this, we need to show two conditions:
If A is orthogonal, then A⁻¹ is orthogonal:
If A is orthogonal, it means that A · A⁻¹ = I, where I is the identity matrix.
Taking the transpose of both sides, we have (A · A⁻¹)ᵀ = Iᵀ, which simplifies to (A⁻¹)ᵀ · Aᵀ = I.
This shows that the transpose of A⁻¹ is the inverse of the transpose of A, which implies that if A is orthogonal, then A⁻¹ is orthogonal.
If A⁻¹ is orthogonal, then A is orthogonal:
If A⁻¹ is orthogonal, it means that (A⁻¹) · (A⁻¹)ᵀ = I, where I is the identity matrix.
Taking the transpose of both sides, we have ((A⁻¹) · (A⁻¹)ᵀ)ᵀ = Iᵀ, which simplifies to ((A⁻¹)ᵀ) · (A⁻¹) = I.
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When multiplying or diving by a negative number what happens to the inequality symbol
Answer: negative
Step-by-step explanation: If its -4* -5 it's going to be a positive if it's -3*4 it is going to be negative same with division.
It is appropriate to use the uniform distribution to describe a continuous random variable x whena. the shape of the histogram of all possible values of x is nonsymmetrical.b. the area under the probability curve = 1.c. relative frequencies of all possible values of x are about the same.d. the probability curve f(x) > 0.
For an appropriate use the uniform distribution is to describe a continuous random variable x when relative frequencies of all possible values of x are about the same. So, option(d) is right one.
The uniform distribution is a distribution in which all values are equal. The interval [a,b] of a continuous variable X is said to be divided into one or four parts, meaning that all values in the distribution are equal or equal. If the probability density function equals f(x) = 1/(b−a), x∈[a,b] and is 0 elsewhere, we write X∼U(a,b). A curve is "uniform" when all events have the same probability. That is all occurrences of events have the same frequency. Accordingly, the correct answer is option (c).
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Suppose that a Normal model described student scores in a history class. Parker has a standardized score (z-score) of +2.5. This means that Parker
A. is 2.5 points above average for the class.
B. none of these
C. is 2.5 standard deviations above average for the class.
D. has a score that is 2.5 times the average for the class.
E. has a standard deviation of 2.5.
Parker's standardized score (z-score) of +2.5 means that he is 2.5 standard deviations above the average score for the class. C
Normal distribution, the mean (average) is represented by the letter μ and the standard deviation by σ.
The z-score is a measure of how many standard deviations a data point is away from the mean.
A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that it is below the mean.
Parker's z-score of +2.5 tells us that his score is 2.5 standard deviations above the class average.
We don't know the exact values of μ and σ, but we can use the properties of the Normal distribution to make some general statements about Parker's score.
99% of the data in a Normal distribution falls within 3 standard deviations of the mean.
Since Parker's z-score is 2.5, we can estimate that his score is higher than about 99% of the scores in the class.
Parker is performing very well in the history class compared to his peers.
z-score is a standardized measure, which means that it can be used to compare scores from different distributions.
If we wanted to compare Parker's score to the scores of students in another class, we could convert both sets of scores to z-scores and compare them directly.
Parker's z-score of +2.5 means that he is performing exceptionally well in the history class, with a score that is 2.5 standard deviations above the class average.
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Answer if yk asap! no links.
Answer:
9
Step-by-step explanation:
Hope it helps