Bi weekly is a check every 2 weeks, so she would get 26 checks per year.
Monthly would be 12 checks per year.
When she gets paid monthly her pay increased by $2,800 each check.
Let x be one bi-weekly paycheck.
12(x+2800) = 26x
12x +33600 = 26x
Subtract 12x from both sides
33600 = 14x
Divide both sides by 14:
x = 33600/14
x = 2400
Her pay increased by 2800 each period:
2400 + 2800 = 5200 per check.
5200 x 12 months = 62400
Her annual salary is $62,400
Final answer:
Michelle's annual salary is $179,200, calculated by first understanding the pay period change from bi-weekly to monthly and then multiplying the additional $2,800 monthly increase by 12 to add to her bi-weekly annual salary.
Explanation:
Michelle Hong's gross pay per period increased by $2,800 when her employer switched from a bi-weekly pay plan to a monthly pay plan. To find Michelle's annual salary, we need to understand the terms of her payment cycle changes. On a bi-weekly plan, there are 26 pay periods per year since there are 52 weeks in a year. Under a monthly plan, there are 12 pay periods per year.
First, we calculate the pay for two bi-weekly periods: $2,800 x 2 = $5,600. This is because a bi-weekly pay period should be roughly half of the monthly pay since there are two bi-weekly periods in a standard month. Next, we will calculate the annual salary: $5,600 x 26 = $145,600. This is Michelle's annual salary on a bi-weekly pay plan.
For the monthly pay plan, we would simply take the increased pay of $2,800 and multiply by 12 months to find the annual salary: $2,800 x 12 = $33,600. This is the additional amount she earns by switching to the monthly plan. To find her total annual salary, we add this to her original annual bi-weekly salary: $145,600 + $33,600 = $179,200.
Therefore, Michelle's annual salary on the monthly pay plan is $179,200.
Choose the replacement for x and y that makes this equation a true statement: 2x + 55y = −214
A.
x = −3 and y = −4
B.
x = −4 and y = 3
C.
x = 3 and y = −4
D.
x = 4 and y = 4
Answer: C
Step-by-step explanation:
2x3= 6
55 x -4= -220
6 + -220= -214
Ava’s newest financial goal is to eliminate the remainder of her student loan debt. She has about $8,950 left on her student loans. She determines that she can afford to make monthly payments of about $360. To track her progress, she plans to create a graph to model her situation. How should Ava label and scale her graph?
A.
x-axis scale, 0–20; label, Total Remaining Debt ($)
Y-axis scale, 0–9,000; label, Months
B.
x-axis scale, 0–30; label, Months
Y-axis scale, 0–9,000; label, Total Remaining Debt ($)
C.
x-axis scale, 0–20; label, Years
Y-axis scale, 0–9,000; label, Total Remaining Debt ($)
D.
x-axis scale, 0–30; label, Total Remaining Debt ($)
Y-axis scale, 0–9,000; label, Years
E.
x-axis scale, 0–20; label, Total Remaining Debt ($)
Y-axis scale, 0–9,000; label, Years
Answer:
B.
x-axis scale, 0–30; label, Months
Y-axis scale, 0–9,000; label, Total Remaining Debt ($)
Step-by-step explanation:
According to given data
Debt = $8950
Monthly payment = $360
Now we can calculate the total period required to eliminate the debt
Total months to eliminate debt = Total Debt/Monthly installment
Total months to eliminate debt = 8950/360
Total months to eliminate debt = 24.8 months
Now, by this calculate, we can say that it is only logical to plot time in graph with months, not years or days. Because if we plot graph with days, it will be too lengthy, on the other hand, if we plot graph with years, it will shrink to much and it will become very difficult to read it and estimate the progress. So all options with time in other than month will be eliminated and we will be left with option B. Notice that option a will be eliminated because we need to plot graph for 24.8 months but it contains 9000 months, which means 750 years. So it will be illogical to plot graph on this scale.
Answer:
x-axis scale, 0–30; label, Months
y-axis scale, 0–9,000; label, Total Remaining Debt ($)
Step-by-step explanation:
For the time scale you must have a value that goes over 25, and the units of months, not years. For the Remaining Debt scale the value needs to be in a range that goes over $8950
A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five dash sixths of my cats plus two."
How many cats does the nemesis have?
Consider the equation 8x + 5 = 37. Write a real-life scenario that this equation could model.
Answer:
Dave has been introduced to a new phone service. They charge a monthly fee of $5 and each phone call made out of country is $8. How much phone calls did Dave made out of country if his bill this month was 37?
The equation represents a membership of a gym, where there is a $5 charge for membership and a per month charge of $8 and x represents the number of months when the total charge becomes $37.
To imply the given equation 8x + 5 = 37 in the rel life scenario.
What is the equation?The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
Equation 8x + 5 = 37
Let's assume that, we are in the gym and the membership charge of the gym is 5$ and after months the charge becomes $37
And gym charges $8 per month after membership where x represents the number of months when the charge becomes $37.
Thus, the way the equation is implemented in the real-life scenario is shown above.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ1
On a number line, will the square root of 20 be closer to 4.4 or 4.5
Answer: 4.5 would be closer
Step-by-step explanation: 4.4x4.4 is 19.36 which is about 64 points away and 4.5x4.5 is 20.25 which is 25 points away
Answer:
4.5
Step-by-step explanation:
Nearest of square root of 20
[tex]\sqrt{20}[/tex]
To choose closer from two numbers 4.4 or 4.5
First we find the square of both number.
Square of 4.4
[tex]4.4^2 = 19.36[/tex]
Square of 4.5
[tex]4.5^2=20.25[/tex]
Now compare the closer number from 20
Difference of, 20.25 - 20 = 0.25
Difference of, 20-19.36 = 0.64
As we know, 0.25<0.64
Hence, On number line square root closer to 4.5
what the answer tonthis question 10x=-4(2x-9)
10x = 4(2x -9)
10x = 8x - 36
10x - 8x = -36 - 8x
2x = -36
2x ÷ 2 = -36 ÷ 2
x = -18
If you need a better explanation just as in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
Reflect (4,-9) across the y-axis. Then reflect the result across the x-axis. What are the coordinates of the final point?
Answer: (-4,9)
Step-by-step explanation:
After applying the sequence of transformations, the coordinates of the final point are (-4, 9).
How to determine the new vertices or coordinates of the image?In Mathematics and Geometry, a reflection over or across the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the coordinates of the point (4, -9), we have the following new coordinates for the image;
(x, y) → (-x, y)
(4, -9) → (-4, -9)
By applying a reflection over the x-axis to the coordinates of the point (-4, -9), we have the following new coordinates for the image;
(x, y) → (x, -y)
(-4, -9) → (-4, -(-9)) = (-4, 9)
Read more on reflection here: brainly.com/question/27912791
#SPJ3
6895 round to nearest thousand
Answer:
7000
Step-by-step explanation:
What is the range of f(x) = c?
O
{0}
0 (-00,00)
{c}
[0, 0)
A pack of gum contains 30 sticks. If the pack of gum costs $1.79, what is the most appropriate price per stick of gum?
The most appropriate price per stick of gum should be $0.5966.
Given that,
A pack of gum contains 30 sticks. If the pack of gum costs $1.79Based on the above information, the calculation is as follows:
[tex]= 30\div 1.79[/tex]
= 0.5966
Learn more: https://brainly.com/question/13496810?referrer=searchResults
From least to greatest 1.34,1 1/3,1 6/8,1.034?
What is 2/3 written as a sum of unit fractions with the denominator of nine
Answer:
Step-by-step explanation:
2/3 = 6/9 because to get to nine from three you need to multiply by three so you multiply the 2 by three to and you get 6 so the answer is 6/9
2/3 written as a sum of unit fractions with the denominator of nine is 6/9.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 2/3.
2/3 written as a sum of unit fractions with the denominator of nine
Now, multiply both numerator and denominator by 3
2×3/3×3
= 6/9
Therefore, 2/3 written as a sum of unit fractions with the denominator of nine is 6/9.
Learn more about the equivalent fractions here:
https://brainly.com/question/29769027.
#SPJ5
You are competing in a race. The table shows the times from last year's race you want your time to be last year's median time with an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time in minutes) you hope to achieve
Answer:
[tex]27\leq x \leq37[/tex]
Step-by-step explanation:
Let's arrange the numbers from least to greatest:
20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48
The median is the "middle" number when arranged from least to greatest.
There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.
6th term = 32
7th term = 32
Average = (32+32)/2 = 32
Hence, median = 32
Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.
So, 32 - 5 = 27 & 32 + 5 = 37
Hence [tex]27\leq x \leq37[/tex]
To find the inequality range for race times, we must first arrange the times and find the median, which is 32 minutes. The desired race time with an absolute deviation of at most 5 minutes from the median results in the inequality 27 ≤ x ≤ 37.
Explanation:
To solve this problem, we need to arrange the given race times in order and find the median. Once we find the median, we can set up an inequality that represents a race time within 5 minutes more or less than this median time.
First, we arrange the race times in ascending order: 20, 31, 27, 32, 25, 42, 48, 28, 40, 38, 32. After putting them in the proper order (20, 25, 27, 28, 31, 32, 32, 38, 40, 42, 48), we find that the median, which is the middle value, is 32 minutes since there are 11 times, and the 6th time is the median.
Next, we want to have a race time with an absolute deviation of at most 5 minutes from the median (32 minutes). This gives us the inequality 27 ≤ x ≤ 37. So, the time you hope to achieve in the race is between 27 and 37 minutes.
To add or subtract fractions with different denominators first find the equivalent fractions with a _ denominator
Answer: Common
Step-by-step explanation:
The answer is with a multiplication of denominators, because when you multiply the denominator of one fraction with the denominator of the other fraction, we will get product which could divide between both denominator
for example if you have the following equation:
2/3+2/4
and you multiply 3*4 =12
and you can use it to complete the equation as a common denominator
Given the sequence below, and that sequence has a domain of n 2 1, find the third
term.
f(n) = 3n+2
Answer:
11Step-by-step explanation:
f(n) = 3n + 2, n ≥ 1
Substitute n = 3:
f(3) = 3(3) + 2 = 9 + 2 = 11
The third term of the sequence is 11 given that that the sequence has a domain of n ≥ 1 and f(n) = 3n + 2. This can be obtained by substituting 3 in the sequence since we have to find the third term.
What is a sequence ?Sequence is an ordered list of terms with a specific order.For example, 3, 7, 11, 15, ...Calculate the third term :
Given that, the sequence ⇒ f(n) = 3n + 2
Since n ≥ 1, first term will be ⇒ f(1) = 3(1) + 2 = 5
Second term will be f(2) = 3(2) + 2 = 8
Third term will be f(3) = 3(3) + 2 = 11
Thus the sequence is 5, 8, 11, ... and the third term is 11.
Hence the third term of the sequence is 11 given that that the sequence has a domain of n ≥ 1 and f(n) = 3n + 2.
Learn more about sequences here:
brainly.com/question/3296986
#SPJ2
solve 2x-3|x+1|=-2x-11
Hey!
----------------------------------------------------
Solution:
2x - 3|x + 1| = -2x - 11
2x - 3|x + 1| + (-2x) = -2x - 11 + (-2x)
-3|x + 1| = -4x - 11
-3|x + 1|/-3 = -4x - 11/-3
|x + 1| = 4/3x + 11/3
x + 1 = -(4/3x + 11/3)
x + 1 + 4/3x = 4/3 + -11/3 + 4/3x
7/3x + 1 = -11/3
7/3x + 1 - 1 = -11/3 - 1
7/3x = -14/3
7/3x * 3/7 = -14/3 * 3/7
x = -2
----------------------------------------------------
Check:
2(-2) - 3|-2 + 1| = -2(-2) - 11
(-4) - 3|-1| = (4) - 11
(-4) - 3 = (4) - 11
-7 = -7
----------------------------------------------------
Answer:
x = -2
----------------------------------------------------
Hope This Helped! Good Luck!
1. Find the sum.
109.526 + 36.42
Also show the work please
Answer:
Step-by-step explanation:
F(x)=5x+1 g(x)= -2x+15
F(x)=5x+1
g(x)= 2x+15
5x+1=F(x)
Xx2=(5+1)
x=6x2
x=12
Fx= F12
how to convert 1 years 6 months into 1.5 years
Step-by-step explanation:
6 months = 0.5 years (6/12)
1 year + 0.5 years = 1.5 years
how can you predict the sign of the sum answer before you actually do the math
Answer:see explanation
Step-by-step explanation:
first look at the abosloute value of the number, then go back to the question and look at the sign of that number. That sign should be the same sign as the sum.
for example
73+(-54)=
the absolute value of 73 is 73
the absolute value of -54 is 54
73 is bigger
go back to look at the sign of 73 in the eq.
it is positive, thus the answer should be positive too.
Answer as a mixed number (4 1/4) - (7/3
Answer: 1 and 11/12
Step-by-step explanation: (4 1/4) - (7/3)= 4 3/12- 2 4/12=1 and 11/12
A square room has an area of 400 square feet. What is the side length of the room?
Answer is 20
Step-by-step explanation:
two angels are complementary one angle measures 3more than twice the other.
Answer:
29° and 61°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x then the other angles = 2x + 3
Sum the angles and equate to 90
x + 2x + 3 = 90, that is
3x + 3 = 90 ( subtract 3 from both sides )
3x = 87 ( divide both sides by 3 )
x = 29
and 2x + 3 = (2 × 29) + 3 = 58 + 3 = 61
The two angles are 29° and 61°
What is 7909+1044 using algorithm
Answer:
8,953
Step-by-step explanation:
line up 7,909 and 1,044 like this :
7,909
+ 1,044
then add everything
Using the addition algorithm, first you align the numbers by place value, then starting from the rightmost position, you add each place numbers together. Accordingly, 7909 + 1044 equals 8953.
Explanation:The process of adding two numbers using the additon algorithm begins with lining up the numbers by their place values. Starting from the rightmost digit, which is the one's place, you add the numbers in each corresponding place together.
In this case, Adding 7909 and 1044:
You begin with the ones place (9+4), which equals 13. You put down the 3 and carry over the 1 to the next place. After the first step the result would look like this: 790_3 with 1 carried over. Next, you add the numbers in the tens place (0+4) and the carried over 1, which equals 5. So the result after the second step would look like this: 79_53. You then move to the hundreds place. Since there is no number to add with 9, you simply carry it down. So the result after the third step would look like this: 7_953. Finally, you add the numbers in the thousands place (7+1), which equals 8. Therefore, the final result of 7909 + 1044 using the addition algorithm is 8953. Learn more about Addition Algorithm here:
https://brainly.com/question/35094522
#SPJ2
Area of composite figure
Answer:
4x4x8x2
256
Step-by-step explanation:
what will the new dimensions of the rectangle be after a dilation with a scale factor of 9/4
Answer:
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft
Step-by-step explanation:
we know that
The new dimensions of the rectangle, after a dilation will be equal to the original dimensions multiplied by the scale factor
we have
The scale factor is 9/4
Original length =32 ft
Original width=8 ft
Find the new dimensions after dilation
New length=(9/4)32=72 ft
New width=(9/4)8=18 ft
therefore
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft
Answer:
The scale factor is 9/4
Original length =32 ft
Original width=8 ft
New length=(9/4)32=72 ft
New width=(9/4)8=18 ft
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft
Step-by-step explanation:
Janine is analyzing spending habits of students in her high school. She finds a mean monthly discretionary expense of $70 spent on having meals out with friends the standard deviation of the distribution is five. What is the variance?
Answer:
Variance = 25
Step-by-step explanation:
Standard deviation is the under root of variance.
Variance is the square of standard deviation.
Data:
Mean = 70
Variance = ?
Standard deviation = √variance = 5
Variance = 5²
Variance = 25.
Therefore, the variance is 25.
Final answer:
The variance of the monthly discretionary expenses on meals out with friends is 25 dollars squared.
Explanation:
To find the variance of Janine's data on the spending habits of students for meals out with friends, you'll use the squared value of the standard deviation.
Since Janine found the standard deviation to be five dollars, you simply need to square this number to find the variance.
Step-by-step Calculation:
Identify the standard deviation (denoted as σ) which is 5.Square the standard deviation to find the variance: Variance = σ² = 5².Calculate the squared value: 25.The variance of the distribution of monthly discretionary expenses on meals out is 25 dollars squared.
29 degrees C to Fahrenheit.
Answer:
29 degrees Celsius are 84.2 Fahrenheit.
Step-by-step explanation:
In order to convert Celsius to Fahrenheit you can use this formula: [tex]F = C * 1.8 + 32[/tex].
Here we have [tex]F = 29 * 1.8 + 32[/tex] which equals 84.2. Instead of 1.8 you can use the fraction [tex]\frac{9}{5}[/tex] if you wish so.
Answer:
[tex]\large\boxed{29^oC=84.2^oF}[/tex]
Step-by-step explanation:
Formula for converting Celsius (C) to Fahrenheit (F):
[tex]F=32+\dfrac{9}{5}C[/tex]
We have C = 29. Substitute:
[tex]F=32+\dfrac{9}{5}(29)=32+\dfrac{261}{5}=32+52.2=84.2[/tex]
Which expression represents the phrase "three times the sum of a number and 4"?
3x + 4
3(x+4)
3(3x+4)
3x−4
Answer:
The answer is: 3(x+4)
Step-by-step explanation:
Oof
Answer:
The correct option is 2.
Step-by-step explanation:
The given statement is "three times the sum of a number and 4".
We need write the mathematical expression for the given statement.
Let the unknown number be x.
The sign " + " is used for addition and sum.
The sign " × " is used for multiplication, times and product.
Sum of a number and 4 = [tex](x+4)[/tex]
Three times the sum of a number and 4 = [tex]3\times (x+4)=3(x+4)[/tex]
The required expression is 3(x+4). Therefore, the correct option is 2.
What’s is 4/5•5/7 which they are both negative
Answer:
-20/35 if you simplify it would be -4/7
Step-by-step explanation: