karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
Answers
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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Related Questions
Whoever answers correctly gets brainlist.
Answers
Answer:
0.25 or 1/4
Step-by-step explanation:
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.7 for a sample of size 438 and standard deviation 16.3.
Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level).
Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
<
μ
μ
<
Answers
Answer:
21.5≤μ≤25.2
Step-by-step explanation:
The formula for calculating confidence interval is expressed as;
CI = xbar±(z*s/√n)
xbar is the mean = 23.7
s is the standard deviation= 16.3
n is the sample size = 438
z is the z score at 95% confidence level
z = 1.96
Substitute into the formula
CI = 23.7±(1.96×16.3/√438)
CI = 23.7±(1.96×16.3/20.93)
CI = 23.7±(1.96×0.77788)
CI = 23.7±1.5264
CI = (23.7-1.5264, 23.7+1.5264)
CI = (21.4736, 25.2264)
The confidence interval to the nearest tenth is 21.5≤μ≤25.2
Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
Find domain
Range
Y-intercept
Xi intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
Answers
The domain and range of the function f(x) = 3/x + 2 are (-∞, 0) ∪ (0, ∞) and (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively
What is the domain and range of a functionIn mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.
To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.
The function f(x) = 3/x + 2
The domain of the function is (-∞, 0) ∪ (0, ∞)
The range of the function is (-∞, 2) ∪ (2, ∞)
The x - intercept is (-3/2, 0)
The y - intercept does not exist
The vertical asymptotes is x = 0
The horizontal asymptotes is y = 2
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NO LINKS!! Explain your reasoning using if-then statements Part 2
Answers
Answer:
a) x = 11
If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.
b) x = 7
If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.
Step-by-step explanation:
Part aAlternate Exterior Angles Theorem
If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the opposite side of the transversal line are congruent.
If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.
\(\implies (4x+1)^{\circ}=45^{\circ}\)
\(\implies 4x+1=45\)
\(\implies 4x=44\)
\(\implies x=11\)
Part bSame-side Exterior Angles Theorem
If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary.
If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.
\(\implies (9x+2)^{\circ}+(17x-4)^{\circ}=180^{\circ}\)
\(\implies 9x+2+17x-4=180\)
\(\implies 9x+17x+2-4=180\)
\(\implies 26x-2=180\)
\(\implies 26x=182\)
\(\implies x=7\)
9. In the figure shown ABCD is a rectangle, DE ~ FC, BC EC, and F is the midpoint
of BC. Find the perimeter of AAEF. Give an exact answer.
A
D
2
E
B
F
C
Answers
The perimeter of the right triangle is 15 units
How to find the perimeter of the triangleThe dimensions of the triangle is solved by Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
Since F is mid segment then BF = F'C and DE = 2 = F'C
hence B'C = B'F + F'C = 2 + 2 = 4
In a rectangle B'C = AD = 4 = EC
F'E² = F'C² + EC²
F'E² = 2² + 4²
F'E² = 4 + 16
F'E = √20
F'E = 4.47
Solving for AE
AE² = AD² + DE²
AE² = 2² + 4²
AE² = 4 + 16
AE = √20
AE = 4.47
Solving for A'F
A'F² = AE² + FE²
A'F² = √20² + √20²
A'F² = 20 + 20
A'F = √40
A'F = 6.32
The perimeter of the triangle is
P = A'F + AE + FE
P = 6.32 + 4.47 + 4.47
P = 15.26
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Identify a reason why we should be skeptical of any claim or statistical evidence involving the following: A study shows that during the early 20th century, a strong correlation existed between the number of people who owned radios and the number of people put into insane asylums. Therefore, people who owned a radio were more likely to be declared insane and put into an insane asylum.a. correlation does not imply causality b. misleading graph c. self-interest survey d. voluntary response survey
Answers
Answer:
Option A
Step-by-step explanation:
Correlation does not imply causality. Correlation shows whether and how strongly pairs of variables are related.
Causality shows a situation between two events where one event is affected by the other
We would be skeptical of this survey because it is very difficult to assume that people who owned a radio were more likely to be declared insane and put into an insane asylum as listening to the radio cannot cause insanity unless proven.
You purchase a new jet ski today. The value of that jet ski depreciates based on the function f(t) = 8,500(0.72)t, where t is measured in years after purchase. How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?
Answers
We conclude that after 7/4 years the value of the jet ski is $4,784
How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?
The value of the jet ski is given by the exponential equation:
f(t) = 8,500*(0.72)^t
Where t is the time in years, to get the value of the jet ski after 7/4 years, we just need to evaluate the above function in t = 7/4, where evaluating means that we need to replace the variable t by the given number, then we will get:
f(7/4) = 8,500*(0.72)^(7/4) = 4,783.55
If now we need to round it to the nearest dollar, then we round upwards to 4,784
In this way, we conclude that after 7/4 years the value of the jet ski is $4,784
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Suraj took a slice of pizza from the freezer and put it in the oven.
The pizza's temperature (in degrees Celsius) as a function of time (in minutes) is graphed.
What was the pizza's temperature after 2 minutes?
Answers
The temperature of the pizza that Suraj took from the freezer, after 2 minutes, given the graph, is 10 degrees Celsius.
How to find the temperature ?The temperature of the pizza that Suraj took from the freezer and put in the oven, is shown on the graph. To find the temperature of this pizza after 2 minutes, given the line in the graph, look at the point where the 2 minutes on the x - axis, intercepts with the line.
This point on the y - axis is 10 degrees Celsius.
This simply means that at 2 minutes, Suraj's pizza slice had a temperature of 10 degrees Celsius.
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two planes take off from the same airstrip. the first plane flies west for 150 miles and then flies 30 degrees south of west for 220 miles. the second plane flies east for 220 miles and then flies x degrees south of east for 150 miles. if x < 30, which plane is farther from the airstrip after the second leg? justify your answer.
Answers
The first plane is farther from the airstrip after the second leg
Which plane is farther from the airstrip after the second leg?The first plane
Initial distance = 150 miles west
Additional distance = 220 miles 30 degrees SW
This means that
Additional distance = 220 * cos(30) miles SW
Additional distance = 190.53 miles
Total distance = 150 + 190.53 = 340.53
The second plane
Initial distance = 220 miles east
Additional distance = 150 miles x degrees SE
This means that
Additional distance = 150 * cos(x) miles SW
Total distance = 220 + 150 cos(x)
Given that
x < 30
We have
Second plane < First plane
220 + 150 cos(x) < 340.53
Evaluate
cos(x) < 0.8035
Take the arc cos of both sides
x < 36
x < 36 is not the same as x < 30
Hence, the first plane is farther
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Working with Actual Interest Earned
Daniela puts $550 in a CD that earns 3.5% APR, compounded quarterly,
for 2 years. She is taxed at a rate of 15% on the interest she earns.
The total amount of interest is $33.75.
What percentage of the original principal is this?
Answers
Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?
Answers
Answer:
D
Step-by-step explanation:
fill in the blank (geometry B)
Answers
Answer:
2
Step-by-step explanation: 1+1=2
A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.
Answers
The height of the kite from the ground when the angle is 50 degrees is 232 feet.
What is trigonometry?The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.
Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.
To find the height of the kite above the ground we use the trigonometric identity of tangent.
Thus, we have:
tan(50°) = h/200
Now, using cross multiplication:
h = 200 tan(50°) ≈ 232 feet
Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.
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Given an integer N where 1 ≤ N ≤ 105, the task is to find the number of positive integers less than or equal to N that have an odd number of digits without leading zeros.
Answers
if N < 10 then the count of numbers will be N , if N / 10 < 10 then 9 , if
N / 100 < 10 then 9 + N – 99 , if N / 1000 < 10 then 9 + 900 , if N / 10000 < 10 then 909 + N – 9999.
in all other case 90909.
what is leading zeros?
Leading zeros are zeros that appear at the beginning of a number or numerical value. These zeros are used to align digits or to indicate the number of digits in a number, but do not affect the value of the number itself. For example, 007 and 7 are the same number but the leading zeros indicate that there are 3 digits in the number.
The above contions specifies the count of number having odd number of digits and without leading zeros.
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Enter the number that belong in the green box please help
Answers
Step-by-step explanation:
Since we have three sides and trying to find an angle, use Law of Cosines
\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)
where c is
Solving for the angle d.
\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)
where d is in degrees
The angle d is the opposite of the side c.
It does not matter what a and b is(they can be either 4 or 5)
let
c=7
a=4
b=5
\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)
This angle must be within 0 and 180
We get
\(d = 101.54\)
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answers
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
11. Which one of the following is unique? b. mode a. Mean c. Median d. A and B
Answers
Among the mean, mode, and median, the unique one is the b. mode.
What is the mode?The mode is the data value that occurs many times more than other data values.
Unlike the mean that shows the average value of all the data values, the mode occurs more. While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.
Similarly, the median can be computed when two values occur as the middle values.
Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.
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Draw a diagram that shows how the expression can represent the area of a figure 8(3x-1)
Answers
Answer:
Step-by-step explanation:
You can draw a rectangle with one side of the rectangle being 8 units, while the other side being (3x - 1) units.
present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Answers
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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I need help please.
Answers
given triangle xyz and triangle pqr with measurements as marked below. determine whether or not triangle xyz is similar to triangle pqr
Answers
The Pythagorean Theorem holds true for both triangles, then the triangles are not only similar, but also congruent.
Triangle xyz has sides of length x, y, and z and triangle pqr has sides of length p, q, and r.
To determine if triangle xyz is similar to triangle pqr, we must calculate the ratios of corresponding sides. This is done using the formula:
Ratio of sides = (Side length x) / (Side length y)
We can calculate the ratios for each side of the triangles and compare them. If the ratios are equal for all sides, then the triangles are similar. For example, if the ratio of side x to side y in triangle xyz is equal to the ratio of side p to side q in triangle pqr, then the triangles are similar. If the ratios are not equal for all sides, then the triangles are not similar.
We can use the Pythagorean Theorem to determine if the triangles are not only similar, but also congruent. The Pythagorean Theorem states that a2 + b2 = c2, where c is the longest side and a and b are the other two sides. If the Pythagorean Theorem holds true for both triangles, then the triangles are not only similar, but also congruent.
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what number is the opposite of 13/5?
Answers
Answer:
-13/-5 is the opposite of 13/5. Hope this helps :)
The Houston Armadillos, a minor-league baseball team, play their weekly games in a small stadium just outside Houston. The stadium holds 10,000 people and tickets sell for $10 each. The franchise owner estimates that the team's annual fixed expenses are $180,000, and the variable expense per ticket sold is $1. (In the following requirements, ignore income taxes.)
Answers
Answer:
Required
1. What is the break-even point in tickets?
2. How many tickets must be sold to earn a profit of $30,000?
3. How many tickets must be sold to earn a profit of $100,000?
Step-by-step explanation:
A ladder is propped against the side of a building making a 30 degree
angle with the building.
If the base of the ladder is 15 feet from the base of the building, how
long is the ladder, in feet? Round your answer to the nearest whole
number
Answers
Answer: 30+15 = 45
Step-by-step explanation: your welcome
A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answers
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
Without writing the equation x^2 + y^2 + 24x – 26y+ 277 = 0 in the standard form, state whether the graph of this equation is a
parabola, circle, ellipse, or hyperbola.
a. parabola
c. hyperbola
b. ellipse
d. circle
Answers
Answer:
circle
Step-by-step explanation:
You can see there is a x^2 and y^2 and 24 x and 26 y meaning if you do complete the square you can write it as a circle in standard form
what is 7 divided by 9102
Answers
Answer:
\( = 9102 \div 7 \\ = 1300.29 \\ \)
Mathematical answer is just 7/9102.
Please help this question is asking about the volume of a hemisphere and cylinder?
Answers
Answer:
pppppppppppppppppppppppppppppppppppppppppp
What is the answer for 6s^2 where s is 6
Answers
Answer:
6s^2
given that: s = 6, we replace the value of s and substitute it with 6
6(6)^2
36^2
= 1,296
Write an equation for the line parallel to the line -7x - 7y= 7 through the point (-1,2)
Answers
Answer:
\(y=-x+1\)
Step-by-step explanation:
Slope-Intercept Formula:It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:
\(-7x-7y=7\)
add 7x to both sides:
\(-7y=7x+7\)
Divide both sides by -7
\(y=-x-1\)
Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:
\(y=-x+b\text{ where b }\ne -1\)
We're given the point (-1, 2) and we can use it to solve for that "b" value.
We plug in -1 as x and 2 as y
\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)
Now we just plug this into the general equation to get: \(y=-x+1\)