Answer:
[tex]r = \$14.71[/tex]
Step-by-step explanation:
Given
Normal Hour = 32 hours
Overtime = Hours above 32
Rate for Overtime = 1.4 times normal rate
Earnings = $535.62
Required
Determine the normal hour pay
First, we need to determine the hours worked overtime.
This is:
[tex]Overtime = 43 - 32[/tex]
[tex]Overtime = 11[/tex]
The equation that binds all the parameters is:
[tex]Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate[/tex]
This gives:
[tex]535.62 = 21 * r + 11 * 1.4r[/tex]
[tex]535.62 = 21r + 15.4r[/tex]
[tex]535.62 = 36.4r[/tex]
Solve for r
[tex]r = 535.62/36.4[/tex]
[tex]r = \$14.71[/tex]
An account is opened with an initial deposit of $100 and earns 3.0% interest compounded monthly.
What will the account be worth in 25 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Pls help with question 7
Answer:
please check the image for the answer
Which set below is the domain of {(2, -3), (-1,0), (0, 4), (-1, 5), (4, -2)}?
A. {-3,0,4,5,-2} B.{2, -1, 4} C.{-3, 4, 5, -2} D.{2, -1, 0, 4}
I don't need a fast answer, I need a thorough explanation, I am trying to advance in Math and I am learning on my own. I want to learn how to do this correctly. Thank you in advance, I Promise I will give brainliest if I am satisfied! (100 points just so you see you are loved (: )
Answer:
D
Step-by-step explanation:
We have the set:
[tex]\{(2, -3), (-1,0), (0, 4), (-1, 5), (4, -2)\}[/tex]
Remember that the domain for a set of values is simply the input values.
In other words, our domain will be all of our x-coordinates.
We can see that our x-coordinates are: 2, -1, 0, -1, and 4.
So, our domain is:
[tex]\{2, -1, 0, 4\}[/tex]
Note that we only write need to write the -1 once.
So, our answer is D.
And we're done!
Answer:
D
Step-by-step explanation:
Evaluate f(t)=-2t2+ 1 for f(-3)
Answer:
f(-3)=-17
Step-by-step explanation:
Substitue -3 for t
-2(-3)^2 + 1
Simplify
-2(9) + 1
-18 + 1
Answer: -17
A function is defined as a relation between a set of inputs having one output each.
The value of the function f(t) = -2t² + 1 at t = -3 is -17.
The domain of the function is -17.
The range of the function is -3.
What is a function?A function is defined as a relation between a set of inputs having one output each.
f(x) = x + 2
At x = 2,
f(2) = 2 + 2 = 4
Domain = 2
Range = 4
We have,
f(t) = -2t² + 1
We need to find for t = -3.
f (-3) = -2 ( -3 )² + 1
[ -3 x -3 = 9 ]
f (-3) = -2 x 9 + 1 = -18 + 1 = -17
Thus the value of the function f(t) = -2t² + 1 at t = -3 is -17.
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What is the value of k?
Answer:
10
Step-by-step explanation:
(4k+5) + (6k+10) = 115
10k+15=115
10k=100
k=10
Answer:
Step-by-step explanation:
(4k+5) + (6k+10) = 115
10k + 15 = 115
10k = 100
k = 10
note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.
Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will not be used.
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:
[tex]C=2\pi r[/tex]
The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:
[tex]C=2\pi (5)=10\pi\text{ feet}[/tex]
The formula for the area of a circle is:
[tex]A=\pi r^2[/tex]
Substitute 5 for r:
[tex]A=\pi (5)^2[/tex]
Square and simplify:
[tex]A=25\pi \text{ square feet}[/tex]
So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:
[tex]C=2\pi (6)[/tex]
Multiply:
[tex]C=12\pi\text{ feet}[/tex]
Substitute 6 for r for the area formula:
[tex]A=\pi(6)^2[/tex]
Square and simplify:
[tex]A=36\pi\text{ square feet}[/tex]
So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!
Determine the solution.
2x+y=4
4x-3y=7
Answer:
The answer is: (x , y) = (19/10 , 1/5)
Step-by-step explanation:
Solve the equation for y-
y = 4 - 2x
4x - 3y = 7
Substitute the given value of y into the equation-
4 x - 3 ( 4 - 2x ) = 7
Solve the equation for x-
x = 19/10
Substitute the given value of x into the equation y = 4 - 2x-
y= 4 - 2 * 19/10
Solve the equation for y-
y = 1/5
The possible solution of the system is the ordered pair ( x , y )-
( x , y ) = ( 19/10 , 1/5)
Check if the given ordered pair is the solution of the system of equations-
{2 * 19/10 + 1/5 =4
4 * 19/10 - 3*1/5 =7}
Simplify the equalities-
4 = 4
7 = 7
Since all equalities are proven true the ordered pair is the solution of the system-
( x , y) = (19/10, 1/5)
FINALLY haha the solution is: ( x , y ) = (19/10 , 1/5)
Hope this helps you!! :) <333
Can you help me with these angles please????
Answer:
11. ∠9 = 100°
12. ∠6 = 80°
13. ∠8 = 80°
14. ∠2 = 80°
15. ∠5 = 100°
16. ∠11 = 100°
Step-by-step explanation:
Answer:
11. 100° 12. 80° 13. 80° 14. 80° 15. 100° 16. 100°
Step-by-step explanation:
We know a straight line is 180 degrees and that m∠7 is 100 degrees.
m∠9, m∠5 and m∠11 are 100 degrees
To find m∠6, m∠8, and m∠2 we subtract 100 from 180 and get 80 degrees.
If you fill in all the degrees of the angles, you will notice a zig-zag pattern. That helps when solving these kinds of problems
I hope this helped, please mark Brainliest, thank you!
PLEASE HELP ME!!
Does the following depict a translation, reflection, or rotation?
Suppose Matthew Whitaker performs on a rectangular stage with an area of 1815 square feet. If the length of the stage is 5x and the width of the stage is 3x, what is the value of x?
x=121
3×5=15
1815÷15=121
x=121
Answer:
The correct answer is 11.
Step-by-step explanation:
55 x 33 = 1815
Convert these please
Answer:
22.18mL147.42kg---637.14 lbs15.22mL--104 oz.12 g45.44 lbs3.59 pt43,000 mg105 tsp2,271.25 mL18tsp4 pt244.71 lbs219.99 kgs3.79 L3.96 g2,608.16 g145.4 tbsp99.22 g4.38 g10.57 pts135.26 oz1.73 LWhy there really be people with no life deleting questions even though people are just trying to connect and stuff like bruh you have no life so you go around deleting things?! It makes me so annoyed like fr i hate those people. also watch one of them delete this
Answer:
ikr
Step-by-step explanation:
Answer:
lol SAME!! i hate it so much!! they deleted all of my stuff in one day and didn't even have a reason to!!! I got banned for 2 weeks :( i's irritating
Step-by-step explanation:
find the slope of the line
Answer:
1/2
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
First off the slope is negative and it decreases by one unit each time.
6. If RT = 4x, find the value of x and RS. x= RS = S RT = *
Answer: 4
4x = 4
S RT = 4
Answer = 4
i am not so sure.
What is the difference
between an ordered
pair and coordinates?
Answer:A coordinate system is a two-dimensional number line
Step-by-step explanation:
A coordinate system is a two-dimensional number line, for example, two perpendicular number lines or axes. An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x,y
The difference between an ordered pair and coordinates will be;
''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
There are an ordered pair and coordinates.
Now,
The difference between an ordered pair and coordinates will be;
''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''
And, An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of
(a, b) and a coordinate system is a two-dimensional number line.
Thus, The difference between an ordered pair and coordinates will be;
''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''
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Does anyone understand this? If you do can you please instruct me on how to do it or solve it?
Answer:
22 rides happened in the hour.
Step-by-step explanation:
The way to solve this if by first dividing the 650 by the 30 then since the answer will be 21.6 that is basically like having 21 full rides then having one more ride a little over half full.
Solve each equation by factoring.
When finding the solutions for `15k^2+k-4=-2`, what are the correct steps?
Answer:
k=1/3; k=-2/5
Step-by-step explanation:
[tex]15k^2+k-4=-2\\15k^2+k-2=0\\(3k-1)(5k+2)=0\\3k-1=0; 5k+2=0\\k=1/3; k=-2/5[/tex]
THIS IS MY LAST QUESTION SO CAN SOMEONE HELP
ME OUT
Answer:
Step-by-step explanation:
Hello, as this is reflected over the y=o line, it does not change the value for x so this is (3,2)
and the reflection over y=0 line changes the y in -y
thanks
9g + 14g + 4 = –19
plz help
Answer:
g=-1
Step-by-step explanation
Answer:
g=-1
HAVE A nice day
there are 15 students on the debate team/ the team advisor randomly chooses 4 students to debate in the next competition. what is the probability that the team includes joseph, malena, carlos, and abby
Answer:he team advisor randomly chooses 4 students to debate in the next competition. How many different ways can a team that includes Joseph, Malena, Carlos, and Abby be chosen? ... If two angles are congruent, then they are vertical angles.
Step-by-step explanation:
Natalie buys 3 harmonicas. Each harmonica costs $2.85. How much does Natalie spend?
Answer:
$8.55
Step-by-step explanation:
2.85*3 or 2.85+2.85+2.85
Order the numbers from least to greatest, 19/2, 9.4, 80
Answer:
9.4, 19/2, 80
Step-by-step explanation:
Giving brainlist SO PLZ HELP
Select the situation below that models the following equation: -3(8) = -24.
A. A diver who was in the water wanted to see a school of colorful fish below. She dove at a depth of three feet per second. If she started diving at sea level, what is her position after eight seconds?
B. The temperature outside dropped a total of three degrees in eight hours. What was the temperature after those eight hours?
C. At the football game, Tyrice gained eight yards on one play and then lost three yards on the next play. How many total yards did he gain or lose over those two plays?
D. Gunner wants to see a movie that costs $8.00. He sees the movie with three of his friends. How many times did he see the movie?
Answer:
a
Step-by-step explanation:
-3 feet every second x 8 seconds
Michael bought a new sweater on sale for $30. The sweater originally cost $80.
What is the percent of change of the sweater?
Frank believes his bedroom wall measures 12 feet long.
He has a ruler that is 1? feet long.
He uses this ruler to measure his bedroom wall.
Which equation can be used to solve for T,
the number of times he will have to use the ruler to check the length of his bedroom wall?
A. 1? = 12T
B. 1? T = 12
C. 1? + T = 12
D. T – 1? = 12
Answer:
A
Step-by-step explanation:
Answer:
B. 1? T = 12
Step-by-step explanation:
Since the bedroom measures 12 feet long, the answer or the product should be 12 (12 only)
He uses “1?” to measure the bedroom, and we need to know HOW MUCH TIMES he uses it.
So, 1? T will be the equation since we need to know how much times he uses the ruler.
which development would most likely cause the supply of a product to decrease?
a. government regulations increase the cost of making the product
b. new technology allows the product to be made more quickly
c. more workers receive the education needed to create the product
d. businesses expect the product to start selling at a higher price
- apex ( personal finance/business)
Answer:
The anwser is A.Government regulations increase the cost of making the product
Step-by-step explanation:
what is y when the equation is x^2 - 3xy -4y^2 =0
Answer:
y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))
Step-by-step explanation:
Solve for y:
-4 y^2 - 3 x y + x^2 = 0
Hint: | Multiply both sides by a term to make the coefficient of y^2 positive.
Multiply both sides by -1:
4 y^2 + 3 x y - x^2 = 0
Hint: | Using the quadratic formula, solve for y.
y = (-3 x ± 5 sqrt(x^2))/8:
Answer: y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))
True or False?
If, |al = |b|, then either a = b or a = - b
Answer:
true
Step-by-step explanation:
3.
What is the additive inverse of the number 3?
C -3
0
3
6
Answer:
-3
Step-by-step explanation:
Answer: -3
Step-by-step explanation: The additive inverse tells us that if we
add a number and the opposite of that number, the result will be 0.
So in this problem, 3 + (-3) = 0.
If f(x) = 8x + 1 and the graph of g is the graph f translated 2 units to right, which equation represents g?
A. g(x) = (6x + 1) + 2
B. g(x) = (6x + 1) - 2
C. g(x) = 8(x + 2) + 1
D. g(x) = 8(x - 2) + 1
Can someone please help?
The equation of the graph after 2 units of the right translation will be g(x) = 8(x - 2) + 1. The correct option is d.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given function f(x) = 8x + 1 is translated by 2 units to the right on the graph.
The function will be changed as below,
f(x) = 8x + 1
After translation, the value of x will become x - 2.
f(x) = 8(x-2) + 1
Therefore, the equation of the graph after 2 units of the right translation will be g(x) = 8(x - 2) + 1. The correct option is d.
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