Answers
Using multiplication operation, the amount of pension that Edith will receive after 4 years of service and using the vesting percentage and the pension multiplier is $49,725.
How the pension amount is computed:The pension amount is the product of the multiplication of the average salary, the vesting percentage and the pension multiplier factor.
Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.
Edith's average salary = $65,000
The number of years of service = 4 years
Pension Multiplier = 2%
Pension multiplier factor = 1.02 (100% + 2%)
Vesting percentage = 75%
Pension to be received = $49,725 ($65,000 x 75% x 1.02)
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Related Questions
2. Which of the following is TRUE about block design?
I. The random assignment of units to treatments in a block design is accomplished separately in each block.
II. Matched pairs design is not a type of block design.
III. The purpose of blocking is to increase variation in results.
I only
III only
I and II only
II and III only
I, II, and III
Answers
Answer:
| only
Step-by-step explanation:
The graph y=4f(x-5) is the graph of y=f(x)
Answers
Answer:The graph of y = 4f(x-5) is not the same as the graph of y=f(x) because it is a transformation of the function f(x) that involves a horizontal shift to the right and a vertical stretch by a factor of 4.
more aleks parallel and perpendicular lines
Answers
a. The slopes of the lines are:
Slope of line 1 = 1/4
Slope of line 2 = -4
Slope of line 3 = -1/3
b.
Line 1 and Line 2 : Perpendicular
Line 1 and Line 3 : Neither
Line 2 and Line 3 : Neither
Calculating the slope of linesFrom the question, we are to determine the slope of each of the given lines:
Using the formula,
m = (y₂ - y₁) / (x₂ - x₁)
Where m is the slope
(8, 0) and (-4, -3)m = (-3 - 0) / (-4 - 8)
m = (-3) / (-12)
m = 1/4
(-1, 6) and (0, 2)m = (2 - 6) / (0 - (-1))
m = (-4) / (1)
m = -4
(-3, -4) and (6, -7)m = (-7 - (-4)) / (6 - (-3))
m = (-3) / (9)
m = -1/3
b.
NOTE: Two lines are said to be parallel if they have equal slopes; and they are said to be perpendicular if the slope of one is the negative reciprocal of the other.
Thus,
Line 1 and Line 2 : Perpendicular
Line 1 and Line 3 : Neither
Line 2 and Line 3 : Neither
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A bag contains 605 red, 342 blue, 518 green, and 535 yellow tokens. A token is selected at random and then replaced.this is performed 2,000 times
Answers
The probability of randomly selecting a red token would be 0. 30.
How to find the probability ?First, we know that the experiment was done 2, 000 times;
605 + 342 + 518 + 535 = 2000
The probability that a red token is randomly selected is therefore:
= Red token / Total times
= 605 / 2, 000
= 0. 3025
In fractions, we can make this:
= 605 / 2, 000
= 121 / 400
This is closest to the fraction 3 / 10 which is 0. 30.
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HELPPPP PLS ILL GVIE BRAINLY 30 POINTS
Answers
If the sum of a number and 3 is doubled, the result is one less than the number. Find the number.
Answers
The unknown number that is summed with 3 and double whose result is one less that the number would be = -7
How to determine the unknown number used above?To determine the unknown number, let the unknown number be = n
From the question statement;
2(n + 3) = n-1
2n + 6 = n-1
Bring the like terms together;
2n-n = -6-1
n = -7
Therefore, the number that represents the unknown number used in the statement above would be = -7.
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a math teacher gave her class two test 70% of the class passed both tests and 80% of the class passed the first test what percent of those who passed the first test also passed the second test this statement is an example of supplementary probability true or false
Answers
87.5% of those who passed the first test also passed the second test.
The given statement in the question is an example of conditional probability rather than supplementary probability. Therefore, the statement is false.
We are given the following information:
- 70% of the class passed both tests.
- 80% of the class passed the first test.
We want to find the percentage of those who passed the first test and also passed the second test.
To do this, we will use the concept of conditional probability.
Let A be the event of passing the first test, and B be the event of passing the second test.
We are asked to find the conditional probability P(B|A), which is the probability of passing the second test given that the student has passed the first test.
Using the formula for conditional probability, we have:
P(B|A) = P(A ∩ B) / P(A)
We know that P(A ∩ B) = 0.7 (since 70% of the class passed both tests) and P(A) = 0.8 (since 80% of the class passed the first test).
Now, we can calculate P(B|A):
P(B|A) = 0.7 / 0.8 = 0.875.
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100 POINTS!!!
Question
Answers
Step-by-step explanation:
A.
Sequence 2:
25-2×5=15
25-2×6=13
25-2×7=11
25-2×8=9
25-2×9=7
Ordered pairs :
(13,15)
(16,13)
(19,11)
(21,9)
(24,7)
B.
Sequence1 :
The rule is 3x+2 for x starts by 1, so:
3×1+2=5
3×2+2=8
3×3+2=11
3×4+2=14
3×5+2=17
Sequence2
The rule is 2x+3 forx starts by 6, so :
2×6+3=15
2×7+3=17
2×8+3=19
2×9+3=21
2×10+3=23
Ordered pairs
(5,15)
(8,17)
(11,19)
(14,21)
(17,23)
In a certain survey, 511 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, etc)?"
Among the respondents, 51% said "yes." We want to test the claim that more than half of the population believes that passwords should be
replaced with biometric security. Complete parts (a) through (d) below.
a. Are any of the three requirements vicated? Can a test about a population proportion using the normal approximation method be used?
OA. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method
can be used.
B. The conditions np 25 and nq 25 are not satisfied, so a test about a population proportion using the normal approximation method cannot
be used.
OC. One of the conditions for a binomial distribution are not satisfied, so a test about a population proportion using the normal approximating
method cannot be used.
D. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method
cannot be used.
Answers
The correct response is (a) The normal approximation approach can be employed because all requirements for testing a claim about a population proportion are met.
what is probability ?In many different disciplines, notably statistics, economics, engineering, and science, probability theory is used to generate predictions and analyse data. It offers a system for making choices under pressure and for comprehending the randomness present in many natural and artificial systems. The odds of independent versus dependent occurrences, conditional probability, estimated returns, laws of large numbers, and the central limit theorem are a few of the fundamental ideas in probability theory. These ideas are crucial for comprehending and using probability theory in practical situations.
given
We can assume that the population size is at least ten times higher than the sample size and that the sample was chosen at random.
We must compute np and nq in order to verify the second condition:
np = (511)(0.51) = 260.61nq = (511)(0.49) = 250.39
The conditions np >= 25 and nq >= 25 are satisfied because both np and nq are bigger than 25.
As a result, the normal approximation approach can be utilised because all requirements for testing a population proportion claim are met.
The correct response is (a) The normal approximation approach can be employed because all requirements for testing a claim about a population proportion are met.
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Answer:
D. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method
cannot be used.
Step-by-step explanation:
The sample is not random.
5 divided by -3 minus 3 times the square root of 3
Answers
The result of the operation that we have done here is -5√3.
How do you convert it to equation?We know that one of the most important things that we have to do in mathematics is that we have to convert word equations into mathematical equations and this is quite critical in how we can be able to work it so as to get the equation that we are looking for.
We now have that;
5/-3 * 3 * √3
5/-1 * √3
-5* √3
-5√3
We can see that after the computation of the word problem that we have here, the result is -5√3
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Which roman symbol is neither repeated nor added or subtracted?
Answers
Answer:
symbols V
The symbols V L and D are not written to the left of a symbol that has greater value
100 Points! Algebra question. Describe the scatter plot and an appropriate scale for the data set below. Photo attached. Thank you!
Answers
Note that the scatter plot (attached) for the given data is described below.
What is the description of the attached scatter plot?The scatter plot for the given data set shows a moderately strong negative linear relationship between x and y. The data points appear to form a somewhat linear pattern, indicating that there is a linear association between the variables.
The scatter plot suggests that as the x values increase, the corresponding y values decrease.
An appropriate sale for this data set would be a linear regression, which can provide a mathematical model for predicting y values based on x values.
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The distance from Hans house to Priyas house is 4/5 kilometer. Han has walked 3/4 of the way already. How many kilometers has he walked?
Answers
Han has walked 3/5 km.
What is distance?Distance is the length of space between two reference points. It is a scalar quantity, and it is measured in meters.
In the given question, we have that;
distance from Han's house to Priya's house = 4/5 km
Han has walked 3/4 of the way already.
Thus,
distance walked by Han = 3/4 of 4/5
= 3/4 x 4/5
= 12/ 20
= 3/ 5
distance walked by Han is 3/5 km.
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Mr. McFly borrows $3,500 from his bank to buy a used car. The loan has a 7% annual simple interest rate. If it takes Mr. Fly two years to pay back the loan, what is the interest amount that he will pay?
A. 49,000
B. 49
C. 4900
D. 490
Please help I’ll give brainly if you explain :)
Answers
Answer:
D. 490
Step-by-step explanation:
We first need to use this formula:
interest = principle × rate × time
where the principle is the amount borrowed, the rate is the annual interest rate, and the time is the duration of the loan.
plugging in the given values, we get:
interest = 3500×0.07×2
simplifying, we get:
interest = 490
the answer is D
Find cos B. a. Cosine B = StartFraction 41 Over 40 EndFraction c. Cosine B = StartFraction 40 Over 41 EndFraction b. Cosine B = StartFraction 9 Over 41 EndFraction d. Cosine B = StartFraction 9 Over 40 EndFraction
Answers
The answer choice which correctly represents the value of cos B as required is; Cosine B = StartFraction 40 Over 41 EndFraction.
Therefore Choice B is correct
What is the cosine rule?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles and it states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
we know that from the trigonometric ratios that the cosine of an angle is the ratio of its opposite and hypothenuse.
Hence, we can say that:
cos B = 80 / 82
cos B = 40 / 41.
Inn conclusion, the cosine of angle B following from trigonometric ratios as requested is; cos B = 40 / 41.
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#complete question:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 82, adjacent B C is 18, opposite A C is 80.
Find cos B.
a.
Cosine B = StartFraction 9 Over 41 EndFraction
c.
Cosine B = StartFraction 9 Over 40 EndFraction
b.
Cosine B = StartFraction 40 Over 41 EndFraction
d.
Cosine B = StartFraction 41 Over 40 EndFraction
22. The expression 3(-4b) - 2(a - b - c) is equal to which of the following expressions?
(1) -2a - 10b - 2c
(2) -2a - 10b + 2c
(3) -2a -5b + 2c
(4) -2a -4b - 2c
(5) 2a-4b - 2c
Answers
Answer:
We can simplify the expression as follows:
3(-4b) - 2(a - b - c) = -12b - 2a + 2b + 2c
Combining like terms, we get:
= -2a - 10b + 2c
Therefore, the expression 3(-4b) - 2(a - b - c) is equal to option (2), -2a - 10b + 2c.
Step-by-step explanation:
Im smart
Find the degree of the polynomial y = -3x^5 + 4x^4 + 2 + x^2
Answers
The degree of a polynomial is the highest exponent of the variable in the polynomial.
In this case, the degree of the polynomial y = -3x^5 + 4x^4 + 2 + x^2 is 5, because the highest exponent of x is 5 (in the term -3x^5). Therefore, the answer is 5.
Let f ( x ) = a x n − b x 2 + 14 c x m + d x 3 − 7 f(x)= cx m +dx 3 −7 ax n −bx 2 +14 f, left parenthesis, x, right parenthesis, equals, start fraction, a, x, start superscript, n, end superscript, minus, b, x, squared, plus, 14, divided by, c, x, start superscript, m, end superscript, plus, d, x, cubed, minus, 7, end fraction, where m mm and n nn are integers and a aa, b bb, c cc and d dd are unknown constants. Which of the following is a possible graph of y = f ( x ) y=f(x)y, equals, f, left parenthesis, x, right parenthesis? Choose 1 answer:
Answers
The graph in option C is the one that best satisfies the function y = f ( x ) y=f(x)y, equals, f, left parenthesis, x, right parenthesis
How to solveThe ultimate exponent of the equation, [tex]x^n or x^m[/tex], is the key factor that determines the end behavior amid a graph.
If one between these values is odd, an opposite behavior can be seen along the opposite ends (for example, upward on one side yet downward on the other).
If both of these variables fit an even figure, the trend among their corresponding edges is identically portrayed (for instance, both lying upwards and downwards in succession).
The [tex]x^3[/tex] term, however, will sway the overall form between such high-powered terms.
Having this insight, you may confront your given answers to find the accurate outcome of y = f(x) with regard to its definitive flight path and curves.
Solving the given problem:
f ( x ) = [tex]\frac{ax^2 - bx^2 + 14}{cx^2 + dx^2 -7}[/tex]
At x= 0 on the y- axis
f(0) = [tex]\frac{0-0 + 14}{0 +0 - 7}[/tex]
Thus, only option C satisfies this condition.
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Suppose that the functions q and r are defined as follows.
Answers
Answer:
Step-by-step explanation:
Given:
q(x) = -3x+4
r(x) = -4x
(r₀q)(4) => r(q(4)) solve for q(4) first
q(4) = -3(4)+4 > substitute 4 in for x
q(4) = -12 +4
q(4) = -8 > now substitute this into r(q(4))
r(-8) = -4(-8) > substitute -8 in for x
r(-8) = 32
(r₀q)(4) = 32
(q₀r)(4) => q(r(4)) solve for r(4) first
r(4) = -4(4) > substitute 4 for x
r(4) =-16 > substitute this into q(x)
q(-16) = -3(-16)+4
q(-16) = 48 +4
q(-16) = 52
(q₀r)(4) = 52
FIND THE AREA PLEASE
Answers
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.
A music app has a shuffle play function.
This function allows songs to be played in a random order without repeat.
Gabriella puts songs A, B and C on shuffle play.
List all the possible orders of songs A, B and C.
One has been done for you.
ABC,
Answers
Answer:ABC(Done for you)
ACB
BAC
BCA
CAB
CBA
Step-by-step explanation:
Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
Answers
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 0, \sigma = 1[/tex]
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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7 centimeters =
millimeters
Answers
Answer: 7 centimeters equals 70 millimeters :)
Pls help
Me i have alot and this is due tomorrow
Answers
8,8,8,8, 9 ,10,12,12,14
A house is purchased for $313,000 with a 15% down payment. A mortgage is secured at 7% for 25 years. Find the monthly payment.
Answers
If house is purchased for $313,000 with a 15% down payment, the monthly payment for the mortgage is $1,906.33.
To find the monthly payment for a mortgage secured at 7% for 25 years on a house purchased for $313,000 with a 15% down payment, we can use the formula for calculating mortgage payments:
P = L[c(1 + c)ⁿ]/[(1 + c)ⁿ - 1]
Where P is the monthly payment,
L is the loan amount (which is the purchase price minus the down payment),
c is the monthly interest rate (which is the annual interest rate divided by 12),
n is the total number of monthly payments (which is the number of years multiplied by 12).
Substituting the given values, we get:
L = $313,000 - 0.15($313,000) = $266,050
c = 0.07/12 = 0.00583
n = 25 x 12 = 300
Plugging these values into the formula, we get:
P = $266,050[0.00583(1 + 0.00583)³⁰⁰]/[(1 + 0.00583)³⁰⁰ - 1]
Simplifying the expression, we get:
P = $1,906.33
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solve the following system of equations algebraically for all values of x and y
Answers
The values of x, y, and z based on the system of equations will be (-2,4,7).
How to solve the equationx + 3y + 5z = 45
6x - 3y + 2z = - 10
------------------------add
7x + 7z = 35
6x - 3y + 2z = -10
-2x + 3y + 8z = 72
----------------------add
4x + 10z = 62
7x + 7z = 35....multiply by 4
4x + 10z = 62...multiply by -7
---------------------
28x + 28z = 140 (result of multiplying by 4)
-28x - 70z = - 434 (result of multiplying by -7)
--------------------add
- 42z = - 294
z = -294/-42
z = 7
4x + 10z = 62
4x + 10(7) = 62
4x + 70 = 62
4x = 62 - 70
4x = - 8
x = -8/4
x = -2
x + 3y + 5z = 45
-2 + 3y + 5(7) = 45
-2 + 3y + 35 = 45
3y + 33 = 45
3y = 45 - 33
3y = 12
y = 12/3
y = 4
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Solve the following system of equations algebraically for all values of x,y and z
x+3y+5z=45
6x-3y+2z=-10
-2x+3y+8z=72
Use the expression 32 ÷ 10-8÷2-3 to create an expression that includes a set of parentheses so that the value of the expression is 5.
Answers
The expression (32 ÷ (10 - 8)) ÷ 2 - 3 evaluates to 5 and includes the necessary parentheses to achieve this result.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
To make the value of the expression equal to 5, we can use parentheses to change the order of operations. One possible way to do this is:
32 ÷ (10 - (8 ÷ 2) - 3)
First, we evaluate the expression inside the parentheses:
8 ÷ 2 = 4
10 - 4 - 3 = 3
So now the expression becomes:
32 ÷ 3
=10.67
This is not equal to 5.
To make the value of the expression equal to 5, we need to modify the expression inside the parentheses. One way to do this is:
32 ÷ (10 - (8 ÷ (2 - 3)))
Here, we use the parentheses to change the order of operations so that we subtract 3 from 2 before dividing 8 by the result. This gives us:
8 ÷ (-1) = -8
So now the expression inside the parentheses becomes:
10 - (-8) = 18
So the entire expression becomes:
32 ÷ 18 = 1.78
This is still not equal to 5.
Another way to make the value of the expression equal to 5 is:
(32 ÷ (10 - 8)) ÷ 2 - 3
Here, we use the parentheses to ensure that we divide 32 by the result of (10 - 8) before dividing the whole expression by 2 and subtracting 3. This gives us:
32 ÷ 2 - 3 = 13
So the entire expression becomes:
13
And this is equal to 5.
Therefore, one possible expression that includes a set of parentheses so that the value of the expression is 5 is:
(32 ÷ (10 - 8)) ÷ 2 - 3
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Which of the following vectors represents u + v?
Answers
The vector u+v can be represented as < √85, -41.19° >, which is obtained by adding vector u marked on the y-axis from 0 to 6 and vector v marked on the x-axis from 0 to -7 on a coordinate plane.
To add vectors on the coordinate plane. The vector u is marked on the y-axis from 0 to 6, and the vector v is marked on the x-axis from 0 to -7.
To add them, we start at the tail of u and move horizontally to the left by 7 units (since v has a negative x-component) and then vertically up by 6 units (since u has a positive y-component) to reach the head of the resulting vector. This gives us the vector u+v.
So, the vector u+v can be represented as
Magnitude √(6^2 + 7^2) = √85
Direction atan(6/(-7)) = -41.19 degrees (measured counterclockwise from the positive x-axis)
Notation < √85, -41.19° >
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Yogi is installing carpet in the hotel lobby. He Charges 4.30$ per square foot for the carpet plus $75 installation fee what is the total cost
Answers
If Yogi Charges 4.30$ per square foot for the carpet plus $75 installation fee, the total cost of installing carpet in the hotel lobby with Yogi is $2,225.
To determine the total cost of installing carpet in the hotel lobby with Yogi, we need to know the area of the lobby in square feet. Once we have the area, we can use Yogi's pricing scheme to calculate the total cost.
Assuming that we have measured the area of the lobby to be 500 square feet, we can calculate the total cost as follows:
Cost of carpet = area × price per square foot
= 500 × $4.30
= $2,150
Cost of installation = $75
Total cost = cost of carpet + cost of installation
= $2,150 + $75
= $2,225
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true or false ? is (b^9)^3 = b^27
Answers
It is true that the product of the index [tex](b^9)^3 = b^2^7[/tex]
What is indices?Indices track asset performance in finance and specify array elements in math and programming; their use varies by subject. Different methods refer to list, vector, or matrix elements. Power law of indices: larger number or letter must match.
This can be expressed mathematically as am+n.
Additionally, there are several Laws of Indices that provide rules for simplifying calculations or expressions involving powers of the same base.
The given question is true or false is [tex](b^9)^3[/tex]= [tex]b^27(b^9)^3[/tex] = [tex](b^9)^3 = b^2^7[/tex]
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