Her employer's contribution to the 401(k) was $2,500.
CalculusGiven that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:
4000 / 12 x 3 = X1000 = X(4000 / 12 x 9) / 2 = X3000 / 2 = X1500 = X1000 + 1500 = 2500Therefore, her employer's contribution to the 401(k) was $2,500.
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Answer: C. $2250
Step-by-step explanation: took the quiz.
Translate the sentence into an equation.
Seven more than the product of a number and 3 equals 5.
Use the variable w for the unknown number.
The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Product of w and 3 = 3w
7 more then 3w = 3w + 7
It is equal to 5 so,
3w + 7 = 5
3w = 5 - 7
w = -2/3
Hence "The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5".
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A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
Please I need this will mark brainliest
im editing it i pressed send by accident
Answer:
8) x - intercept: (-7, 0)
y - intercept: (0, -7)
9) x- intercept: (4,0)
y- intercepts: ( 0, 8)
10) x- intercepts: (9,0)
y- intercepts: (0,3)
Step-by-step explanation:
A quadratic function is defined by \small f\left(x\right)=x^2-8x-4. Which expression also defines \small f and best reveals the maximum or minimum of the function?
Answer:
f(x) = [x – (4 + √20)][x – (4 – √20]
Step-by-step explanation:
In order to know the function that best describes the given f(x) that best reveals it's minimum or maximum, we need to know solve for x.
x² – 8x – 4 = 0
Using completing the square method
x² – 8x = 4
x² – 8x + 4² = 4 + 4²
(x – 4)² = 20
x = 4 ±√20
Therefore
f(x) = [x – (4 + √20)][x – (4 – √20]
help pls i gotta get everything done by today
Answer:
its in my comments thingy
Step-by-step explanation:
YOUR WELCOME :3What value of x makes this equation true? 12 x - 15 = 6 - 3 x
Answer:
[tex]x = 1\frac{2}{5}[/tex][tex]x = 1\frac{2}{5}[/tex]
Building a has 7,500 ft of an office space for 320 employees building b has 9,500 square feet of office space for 370 employees which building has more square feet of space per employee explain
Answer:
I believe the correct answer is Building B
Step-by-step explanation:
Building A is 23.45 per employee and Building B is 25.67 per employee
HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS
Answer: yes
Step-by-step explanation: it’s a right triangle
Answer:
No
Step-by-step explanation: all ik its know because the length is not the same as the other side so no
Please help! Will give brainlist if correct! :(
Answer:
Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.
Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.
To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)
Step-by-step explanation:
Factoriza la diferencia de cubos
1) 8x³ -64
2) 125x³- 64y{6}
3) 8a³- 27b³
4) 27a³- 27b³
Answer:
The first one will be equal 2
Because
[tex] \frac{ - 64}{8} = - 8[/tex]
[tex]x ^{3} = 8 \\ [/tex]
[tex] \sqrt[3]{ - 8} = - 2[/tex]
Oh sorry i read the question wrongly i thought you wanted the value of x
Step-by-step explanation:
main formula used
a³-b³=(a-b)(a²+ab+b²)
In ARST, r = 86 inches, s = 77 inches and T=9º. Find the area of ARST, to the nearest square inch.
Answer:
518
Step-by-step explanation:
. Out of 40 pupils only 30 pupils submitted their project on time
What percent of the pupils submitted their project on time?
Asked:
Given:
Operation:
Number Sentence:
Solution:
Answer:
Answer:
75 %
Step-by-step explanation:
To solve for the above question,
The percentage of pupils that submitted their project on time
= Number of pupils that submitted their project on time/Number of pupils × 100
Number of pupils that submitted their project on time = 30 pupils
Number of pupils = 40 pupils
= 30/40 × 100
= 75 %
The percent of the pupils that submitted their project on time is 75%
What does x equal?
5x + 4 = 1
Answer:
x= -5
Step-by-step explanation:
HELP ASAP!!!!
thank you so much if you helped!!
Answer:
H. 22 hours
Step-by-step explanation:
He earns $8 per hour.
176 ÷ 8
22
plz help
what is the greatest common factor 9xy-y
then divide it with the number.
Please help me NO LINKS PLEASE ✌︎('ω'✌︎ )
Answer:
substitution method
x = 7
y = 2
Step-by-step explanation:
2x - 2y = 10
x = 7
substitute for x:
2(7) - 2y = 10
14 - 2y = 10
subtract 14 from each side of the equation:
-2y = -4
divide both sides by -2:
y = 2
What 3-D object can be created by fol this net? A. Cube B. Rectangular prism C cyclinder D. Triangular prism
Answer:
C. cyilender
Step-by-step explanation:
Hope this helps <3 if it does plz give me a thx<33└(^o^)┘
Please help me on this!!
Find the area of a parallelogram with base b and height h.
B=74 cm
H=14.8 cm
answer from me: 1,095.2 cm
Use 3.14 the diameter is 28.2, find the area of a circle.
answer from me: 624.26 m
identify the sets to which the number belongs.
answer from me: integer, rational number
thank you so much, plz help if you can
Answer:
1095.2 cm² is correct (don't forget to say it's cm squared)
624.26 m² is correct (ditto)
I'm not 100% sure what the identity of the sets means, you're probably correct though
Step-by-step explanation:
area = 74 x 14.8 = 1095.2 cm²
radius = 28.2/2 = 14.1
area = 3.14(14.1²) = 624.26 m²
A shirt at Target is priced at $20. You have a coupon for 20% off. The tax on the shirt is 8%. What will be the cost of the shirt?
I'm a little confused so I have no need for an explanation just answer honestly
yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
Answer:
3/4
Step-by-step explanation:
Tangent is opposite/adjacent side. To get the adjacent side, use the Pythagorean Theorem:
a² + b² = c²
3² + b² = 5²
9 + b² = 25
b² = 16
√b² = √16
b = 4
tan(O) = opposite/adjacent side
tan(O) = 3/4
Can someone please explain how to solve these questions.
Answer: your answer are in the screen shots hope this helped
Step-by-step explanation:
What is the perimeter of the triangle?
The perimeter of the triangle is 34.2 units
How to determine the valueTo determine the value of the perimeter, we need to know the following;
A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygonThe formula that is used for calculating the perimeter of a triangle is expressed as;
P = a + b+ c
Such that a , b and c are the lengths of the sides of the triangle
Then, we have that;
Using the Pythagorean theorem
a² = 81 + 121
a² = 202
a = √202 = 14.2 units
Perimeter = 9 + 11 + 14.2
Add the values
Perimeter = 34.2 units
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Jeremiah ate dinner at 6:17 pm . Before eating, it took him: - 25 minutes to cook dinner - 12 minutes to drive home from the grocery store - 36 minutes to the grocery shop. What time does Jeremiah arrive at the grocery store? Group of answer choices
Answer:
5:04 pm
Step-by-step explanation:
The computation of the time does Jeremiah arrive at the grocery store is shown below:
She ate dinner at 6:17 pm
She took 25 minutes for cooking
She took 12 minutes to drive home from grocery store
And, the 36 minutes to the grocery store
So, the time at which she arrive is
= 6.17pm - 25 minutes - 12 minutes - 36 minutes
= 6.17pm - 73 minutes
= 5:04 pm
how do you give someone brainliest on a computer?
HELP ASAP❗️
Part A: which of the following is the most reasonable equation for the line of the best fit?
A. Y= 3/4x + 8
B. Y= x+8
C. Y= -3/4x +8
D. Y = 3/4x-8
Part B: using the equation from part A, what is the hourly wage for someone who worked ?
Answer:
number one is c y= -3/4x+8 and b is Formula for hourly rate from salary
To figure out your hourly wage based on your yearly salary, all you do is this: Take your yearly salary and divide that number by 52 (the number of weeks in a year) and then by 40 (the number of hours in a standard work week).
Step-by-step explanation:
Order these numbers from least to greatest. 8.009, 8.7, 8.09, 8.7082
Answer:
8.009 , 8.09 , 8.7 , 8.7082
Step-by-step explanation:
Convert all numbers to decimals.
8.009 = 8.009
8.7 = 8.7
8.09 = 8.09
8.7082 = 8.7082
Arrange the numbers in ascending order.
8.009 , 8.09 , 8.7 , 8.7082
What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
Answer:
The volume of the cylinder is 367.6 M^3
Step-by-step explanation:
Mathematically, we have the volume of a cylinder calculated as follows;
V = pi * r^2 * h
r is the base radius given as 3 m
h is the height given as 13 m
So, we have the volume as;
V = 22/7 * 3^2 * 13 = 367.6 M^3
Answer:
367.6 m³
Step-by-step explanation:
h=13 r=3 identify variables
V= πr² h use volume of a cylinder formula
V=π(3)²(13) substitute variables into formula
V= 367.56634047 multiply
V=367.6 m³ round to the nearest tenths place
If m< BOE = 130 degrees and m< cob = 80 degrees
Answer:
then what?
Step-by-step explanation:
do we have to find the angle?
all I know is every right triangle is equal to 90°
i need help with these questions
Answer:
1.) 2.5cm
2.) 1 3/4
3.) 1.6
4.) 4/5
5.) 18.84
Step-by-step explanation:
So the radius is half of the diameter, so the first one would be:
5 ÷ 2 = 2.5
We do the same thing for the next one:
3 1/2 ÷ 2 = 1 3/4
Now we have to go backwards because we have the radius and we're trying to find the diameter:
0.8 x 2 = 1.6
And the next one:
3/5 x 2 = 4/5
Now to find the circumference, we multiply the diameter by pi (3.14)
6 x 3.14 = 18.84
let me know if any of these are wrong
hope this helps:)