ALGEBRA Michella Hong noticed that her gross pay per period increased by $2,800 when her employer changed from a bi-weekly pay plan to a monthly pay plan. What is Michelle's annual salary
Answer:
Her annual salary is $62,400
Step-by-step explanation:
Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.
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.
The equation we get is:
12(x+2800) = 26x
Multiply the bracket by 12:
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
write the equation in slope intercept form for the line with the given slope that contains the given point.
slope=1;(-2,3)
Answer:
y = x + 5
Step-by-step explanation:
m = 1, x = -2, y = 3
y = mx + b
3 = 1(-2) + b
3 = -2 + b
b = 3 + 2 = 5
therefore
y = x + 5
Which ordered pair represents the solution to:
3x - 12y = 16
7x + y = 43
A. (6,4)
O B. (4,6)
C. (-4, 6)
O D. (-6,4)
E. (6,-4)
Answer:
none
Step-by-step explanation:
kindly check your equations as well as the options, there is an error in them!!
Write the expression in radical form x 3/7
Answer:
[tex]x^{\frac{3}{7} } =\sqrt[7]{x^{3} }[/tex]
Step-by-step explanation:
Hope this helps
Answer:
[tex]x \frac{3}{7} = \sqrt[7]{x^3}[/tex]
Step-by-step explanation:
That is your answer
Pls just do my homework
what is the scale factor of the two triangles
The scale factor of the the larger triangle to the smaller triangle is: 3.25.
How to Calculate a Scale Factor of a Dilation?When a figure is dilated, the figure is enlarged or reduced. The scale factor is calculated as: dimension of the new figure / corresponding dimension of the old figure.
Find the scale factor of the larger triangle to the smaller triangle:
One dimension of the larger triangle = 13
Corresponding dimension of the smaller triangle = 4
Scale factor of the dilation = 13/4
Scale factor of the dilation = 3.25
Therefore, the scale factor of the the larger triangle to the smaller triangle is: 3.25.
Learn more about the scale factor on:
https://brainly.com/question/2826496
#SPJ1
3/8 divided by 9/10 is what
Answer:
5/12
Step-by-step explanation:
Answer:
5/12.
Step-by-step explanation:
3/8 / 9/10
= 3/8 * 10/9
= 1/8 * 10/3
= 1/4 * 5/3
= 5/12
a) The quadratic x² - 4x-21 can be written in the form (x + a)² + b
Find the values of a and b.
quadratic formula
A person is $1000 on the credit card that charges an interest rate of 2% per month complete the table showing the car to balance each month if you do not make any payments
Answer:
Month Total Bill
1 1000
2 1,020
3 1,040.40
4 1,061.21
5 1,082.43
6 1,104.08
7 1,126.16
8 1,148.69
Step-by-step explanation:
Use the formula for compound interest
[tex]A = P(1+r)^t[/tex]
where A is the balance, P is the principal (credit card balance), r is the effective rate and t is the number of time periods
Here r = 2% computed monthly which is 2/100 = 0.02 in decimal and t = 1, 2,3,4,5,6,7,8 months
So 1 + r = 1+0.02 = 1.02
We can compute the monthly balance for each subsequent month by multiplying the previous month's balance by 1.02
All figures rounded to the nearest cent
Answer
Month Total Bill
1 1000
2 1,000 x 1.02 = 1,020
3 1,020 x 1.02 = 1,040.40
4 1,040.40 x 1.02 = 1,061.21
5 1,061.21 x 1.02 = 1,082.43
6 1,082.43 x 1.02 = 1,104.08
7 1,104.08 x 1.02 = 1,126.16
8 1,126.16 x 1.02 = 1,148.69
Write an equation in slope-intercept form for the perpendicular bisector of the segment with the given endpoints. Justify your answer. (Lesson 5-1)
D(-2,-4) and E(2,1)
The equation of the perpendicular bisector of the segment with the endpoints located at D(-2 ,-4) and E(2 , 1) is y = -4/5x - 3/2.
A perpendicular bisector of a segment is a line that divides the segment into two equal parts forming right angles at the point of intersection.
To get the perpendicular bisector of a segment, get the point of intersection of the two lines which is the midpoint of the segment.
midpoint (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]
midpoint (x , y) = [(-2 + 2)/2 , (-4 + 1)/2]
midpoint (x , y) = (0 , -3/2)
Get the slope of the perpendicular bisector of a segment by taking the negative reciprocal of the slope of the segment.
slope of segment = (y2 - y1)/(x2 - x1)
slope of segment = (1 - -4)/(2 - -2)
slope of segment = 5/4
slope of the perpendicular bisector = -4/5
Solving for the y-intercept, b, plug in the point (0 , -3/2) and the slope -4/5 to the slope-intercept form of the equation, y = mx + b.
y = mx + b
-3/2 = -4/5(0) + b
b = -3/2
Setting up the equation in slope-intercept form, where m = -4/5 and b = -3/2.
y = mx + b
y = -4/5x - 3/2
To learn more about perpendicular bisector: brainly.com/question/24159921
#SPJ4
A child measured 120 centimeters in a semiannual checkup with the doctor. What would be the child's height at the next office visit if the child grew by 2.51 centimeters?
Answer:
120+2.51=122.51cm
To jump at a local trampoline park, each attendee is charged $14.75 per hour. In addition, each attendee must spend $3.50 to purchase a pair of jumping socks. The trampoline park also offers food specials. Currently, attendees can purchase a super pizza deal, which includes a large pizza and a pitcher of soda, for only $15.50 . Five friends decide to visit the trampoline park. Each friend will buy a pair of socks and jump for two hours. The friends will also buy one super pizza deal to share.
Answer:
Step-by-step explanation:
(14.75x10)+(3.5x5)+15.50= 180.5
14.75= trampoline per hour
10= the friends 2x hours
3.5= socks
5= the number of friends
15.50= the super pizza deal
Can someone help with this?
Answer:
35
Step-by-step explanation:
There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.
Hope this helps you
1.) What is the least positive integer divisible by the numbers 2, 3, 4 and 5? Show your work.
The volume of the given right circular cylinder is 256π cubic yards. If h, the height of the cylinder is 16 yards, what is r, the radius of the base?
8 yards is the radius of the base
Write a conjecture that describes the pattern in the sequence. Then use your conjecture to find the next item in the sequence. 0,2,4,6,8
The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
How to write a conjecture that describes the pattern in the sequence?The sequence is given as:
0, 2, 4, 6, 8
In the above sequence, we can see that each current term is 2 added to the previous term
i.e.
Tn = 2 + Tn-1
Using the above conjecture, we have
Next term = 8 + 2
Evaluate
Next term = 10
Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
Read more about sequence at:
https://brainly.com/question/7882626
#SPJ1
Cancel down the following fractions: 9/72
Find the measure of the segment indicated.
RM = 24
SP = 30
Find QM
I am being tested on this tomorrow but this doesn’t make sense to me
if i simplified 6/33 what would my answer be
Answer:
Exact form 2/11
Decimal form 0.18
a fibanachi sequence begins with 1 1 3 5 8 what is the 8t term
Answer:
Fibonacci sequence is one of the most known formulas in number theory. In the Fibonacci sequence, each number in the series is calculated by adding the two numbers before it. Generally, the first two terms of the Fibonacci series are 0 and 1.
Any Fibonacci number can be calculated by using this formula,
xn = (φn − (1−φ)n)/√5
xn denotes Fibonacci number to be calculated
φ is Golden ratio = 1.618034
the condition given in the question and applying the Fibonacci formula:
By the use of the Fibonacci number formula, we can calculate the rest of the Fibonacci numbers like 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.
Therefore, the 8th term will be 21.
Learn more about Fibonacci series here:
https://brainly.com/question/16934596
#SPJ9
The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of the prism, and h is the height of the prism.
If the volume of a rectangular prism with a length and width of 3 inches is 81 cubic inches, what is the height of the rectangular prism?
A.
9 inches
B.
75 inches
C.
14 inches
D.
27 inches
Answer: It is A, or 9 inches
Step-by-step explanation:
1. We know that the length and width is 3, so that is 3 * 3, which is 9
2. Therefore, with the volume of 81, we would know that 9 * 9 is 81, so the height is 9 inches
60 Points!
a function is decreasing on an interval if the output values decrease as the input values decrease.
a .true
b .false
Answer:
A: true
I'm positive
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
If you were to play the game many times (say, 36 times in a row), which option would you choose?
*RED WINS*
WIN on RED
WIN on BLUE
Answer:
I would choose blue, assuming that there are even chances between red and blue winning.
Hope this helps.
how to multiply a fraction(s)?
Fractions Context: How do they work? -
- In every fraction, there's a top number and a bottom number, separated by a short horizontal line.
- In a proper fraction, the smaller number — called the numerator — will always be on top, while the larger number — the denominator — will be on the bottom.
(NOTE: The larger number is not always on the bottom, when it's on the top it is considered an improper fraction!)
- The numerator tells us how many units we have of a whole and the denominator tells us how many units make up the whole. So, in the fraction 1/2, 1 is the numerator and 2 is the denominator — there are two units in the whole, but this fraction tells us that we only have one of these units.
________________________________________________________
How can we muiltiply fractions?
Unlike when you are adding or subtracting fractions, you can multiply fractions with different denominators. For instance, it's not a problem to multiply 3/4 x 2/5.
Here's an example:
[tex]\frac{3}{4} * \frac{2}{5 } = \frac{3*2}{4*5} = \frac{6}{20}[/tex]
Think we're done here? Haha, not in the least!
Fractions in the form of answers must ALWAYS be simplified unless asked to do the opposite! We must simplify the fraction and reduce it to its purest form.
6/20 can be divided by 2 on both the numerator and the denominator.
3/10 would be the FINAL ANSWER!
________________________________________________________
Learn more:
https://brainly.com/question/8565111
Hope this helps you understand, do not hesitate to reach out to me if you still don't understand!
Have a WONDERFUL day! (:
What is 8y-2+6x
Please tell me quick
After solution of the given equation 8y-2+6x the answer is 2(4y - 1 + 3x).
What are equations?An equation is a mathematical statement that includes the symbol 'equal to' between two expressions with equal values. For instance, 3x + 5 = 15. There are various types of equations, such as linear, quadratic, cubic, and so on. In this article, we will learn more about equations in math.So, 8y-2+6x:
Rewrite 6 as 3 × 2Rewrite 8 as 4 × 24 × 2y - 2 + 3 × 2xFactor out common term 2:
2(4y - 1 + 3x)Therefore, equation 8y-2+6x is 2(4y - 1 + 3x).
Know more about equations here:
https://brainly.com/question/2972832
#SPJ1
Find the zero(s) of f(x) = -4x + 6
The zero(s) of function f(x) = -4x + 6 is [tex]x=\frac{3}{2}[/tex]
As per the question statement, We are given a function [tex]f(x) = -4x + 6[/tex] and we are supposed to find the zero(s) of the function.
We know that zero of a function is the value of the function at which the value of function becomes absolute zero.
For that we have to equate the function to zero first.
f(x) indicates the function with variable in "x"
For zero(s), of f(x)
Let f(x) = 0
[tex]f(x) = -4x+6=0\\4x=6\\x=\frac{6}{4} \\x=\frac{3}{2}[/tex]
Therefore value of x at which f(x) is zero is [tex]x=\frac{3}{2}[/tex]
Zero(s) of a polynomial: The zeroes of a function is the value of the variable at which the value of the function becomes zero.To learn more about zeros of a function, click on the link given below:
https://brainly.com/question/27551059
#SPJ9
give one (1) example that illustrates the difference between data and information, and briefly explain how your example shows this difference. do not use the example given in lecture 1.
The key points of difference between data and information are -
"Facts and figures" are the simplest definition of the word "data." Each piece of information is a little fact that, by itself, doesn't mean anything. Data can refer to a single fact or a group of related facts. Its root, datum, is a Latin term that means "something provided."
A collection of facts is called data. You interpret such things in context by having information.Information is structured or ordered, whereas data is not.Data is a mass noun, but information is an uncountable noun.Information, as opposed to data, is often valuable on its own.In general, data consists of numbers, statements, and characters in their basic forms. Information does not necessarily.Data depend on information.To learn more about data and information from given link
https://brainly.com/question/26711803
#SPJ4
55,820 in scientific notation
Answer: 5.582 * 10^4
Step-by-step explanation:
55,820=
55,820/10,000 * 10,000=
5.5820 * 10,000 =
5.5820 * 10^4 = 5.582 * 10^4
Helpppp slove plssssssssssssssssssssssssssssssssssss
Answer:
Step-by-step explanation:
if 14/6=32/4
12/4=3 y-6=3 y=9
0/4=0 y-6=0 y=6
if y=4 x=-8
y=-3 x=-36
Answer:
Step-by-step explanation:
y = 6 - (x/4) replace the given values with x or y
x : y
32 : 14
12 : 3
0 : 6
8 : 4
36 : -3
translation: 2 units down
D(-4,1), A(-2, 5), S(-1, 4), N(-1,2)
Answer:
D (-4, -1), A (-2, 3), S (-1, 2), N (-1, 0)
Tip:
To move a point down by two units, subtract the y in (x, y) by 2.