The gross wages of Xavier Brown when worked 43.5 hours in the week will be Gross pay=$730.625
What is gross pay?The total amount earned by any worker with his basic pay like incentives allowances etc.
It is given that Xavier Brown works on a 40-hour week basis and-a-half paid for overtime work.
Last week she worked 43.5
The distribution of the work is given as:-
Monday Tuesday Wed Thursday Friday Total
9 Hours 9 Hours 8.5 8.5 8.5 43.5
So we have the total working hours = 43.5 hours
Weekly working hours are =40 hours
So for 40 hours she will be paid:-
Pay =40x17.50
Now extra hours or overtime is =43.5-40=3.5 hours
So the extra income will be half of the regular:-
Pay=3.5x({1}÷{2}) x17.5=$30.625
So total gross pay will be = $700+$30.625=$730.625
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A town has a population of 4.11 x 104 and shrinks at a rate of 9.6% every year.
Which equation represents the town's population after 4 years?
Answer:
59304
Step-by-step explanation:
4.11x 10⁴=41100, 9.6 =( 1+9.6/100)=1.096
x(n)−population after n years
x(n)=x(0)×1.096^n=41100x1.096^n
x(4)=41100×1.096⁴=59304.007
= 59304
An equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].
Given that, a town has a population of [tex]4.11\times10^4[/tex] and shrinks at a rate of 9.6% every year.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100} )^n[/tex]
Now,
[tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex]
⇒ [tex]x(4)=4.11\times10^4(1+0.096)^4[/tex]
⇒ [tex]x(4)=41100\times(1.096)^4[/tex]
⇒ x(n)=41100×1.443
⇒ x(n)=59307.3
Therefore, an equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].
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Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.
Location Amount of Rainfall
Austin, Texas 0.8687 m
Beaumont, Texas 1.534 m
Galveston, Texas 109.5 cm
El Paso, Texas 246.4 mm
Del Rio, Texas 495.3 mm
South Padre, Texas 65.5 cm
a. Using complete sentences, identify the city with the greatest amount of rainfall and the city with the least amount of rainfall, and express the ratio of their respective rainfalls as a decimal number, rounded to the nearest hundredth.
b. Describe what this ratio tells you.
The location with the greatest amount of rainfall is Beaumont, while the location with the least amount is El Paso.
How to identify the place with the greatest and least amount of rainfall?The first step is to make sure to use the same units. Due to this, let's convert everything to meters.
Austin = 0.8687 mBeaumont = 1.534 mGalveston = 1.095 mEl Paso = 0.2464 mDel Rio = 0.4953 mSouth Padre= 0.655mBased on this, Beaumont has the greatest amount of rainfall and El Paso has the lowest amount of rainfall.
How are the two places related?The ratio for these places are 1.5 to 0.2 or 1.5/ 2 = 0.7. This ratio implies that there is a difference of 0.7 meters in the amount of rainfall in these places.
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The other person is right, I used this and it worked.
The area of a square with side length of 5 cm is ___________ cm.
Answer:
25cm
Step-by-step explanation:
5 x 5 its not that hard
Which of the following expressions would give the number of ways to choose a group of 7 from a group
of 15?
151!/7!8!
7!/15!8!
7!15!7!
Answer:
A) 15!/(7!8!)Step-by-step explanation:
We are looking for the combination of 7 out of 15.
This is written as
15C7This is calculated as
15!/(7!(15-7)! = 15!/(7!8!)Correct choice is A
A sports store has a container of handballs: 4 blue, 5 red, 8 yellow 9 white and 11 green. If one ball is picked from the container at random,what is the probability that it will be yellow?
Answer:
8/37
Step-by-step explanation:
The total number of handballs in the container is
4+5+8+9+11 = 37
Since there are 8 yellow handballs, the probability of selecting a yellow handball is 8/37.
At a pizza restaurant the cook has 144 ounces of tomato sauce. The cook uses exactly 4
ounces of tomato sauce on every pizza. How many pizzas can the cook make? How many
ounces of tomato sauce will be left over?
Answer:
36 pizzas
no sauce left over
Step-by-step explanation:
Take the total amount and divide by 4
144/4 =36
The cook can make 36 pizzas
Ther is no sauce left over
An initial deposit of $6300.00 is made into a savings account that compounds 5.2% interest semi-annually. how much is in the account after 10 years?
question 1 options:
$414,740.48
$10,526.59
$10,459.19
$9,289.13
Answer:
$10459.19
Step-by-step explanation:
Which two Integers is 29 between
Answer:
28 < 29 < 30
Step-by-step explanation:
29 - 1 = 28
29 + 1 = 30
Then
The integer 29 is between the two integers 28 and 30
X is greater than or equal -3 and less than 5
use x only once in your inequality
Answer:
[tex] - 3 \leqslant x \leqslant 5[/tex]
Which parallelogram has an area of 60 square units?
Answer:
Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units
Step-by-step explanation:
Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:
In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .
In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .
In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .
In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.
Open the document theres my question plss help
Answer: 55°
Step-by-step explanation:
The angle is in between 50° and 60°
Answer:
55°
Step-by-step explanation:
One ray lies on the 0° mark and the other lies on the 55° mark. To find the measure of the angle, find the difference between the greater angle and the lower angle. 55° - 0° = 55°
Please answer the question
Dylan has 20x + 17 baseball cards. He gives 3x - 2 cards to his friend Tristan. How many cards does Dylan now have?
Answer:
17x-15
Step-by-step explanation:
I think.
Answer:
17x+19
Step-by-step explanation:
20x+17-(3x-2) (Set up the equation)
20x+17-3x+2 (Distribute the negative to both, double negative cancel out)
17x+19 (Combine Like terms)
Help me solve the volume for the sphere?
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
We are given that:
Radius of circle = 2.1 yd
When we substitute the radius in the formula, we get;
⇒ 4 × π × (2.1)³/3
Let π be substituted as 3.14. Then;
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
When evaulating the cube of 2.1, we get;
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
When simplified, we get;
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
2 cm
6 cm
6 cm
What is the surface area of the solid above?
O A. 14 cm2
O B. 120 cm2
O C. 56 cm2
O D. 84 cm2
Answer:
O B. 120 cm2
Step-by-step explanation:
2×(6×6 + 6×2 + 6×2) = 120 centimeters2
PLEASE HELP I WILL MARK BRAINLIEST PLS IT IS URGENT
It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed? Round to the nearest whole percent.
35 is 78% of 45
Sure hope this helps you
Evelyn and her friends bought 35 grams of cinnamon. They used 3.1 grams of it to make some snickerdoodle cookies. How much cinnamon do they have left?
Answer:
31.9 grams
Step-by-step explanation:
35 - 3.1 = 31.9 grams
Hope this helped you!
Help me
Circle describe and correct each error
2-4(-8+3x)=82
-2(-8+3x)=82
16-6x=82
-6x=66
X=-11
Answer:
First you have to multiply negative four in parentheses, then add minus two
-4×(-8+3x)=32-12x
2+32-12x=34-12x
34-12x=82
-12x=48
x=-4
add 3x^2-5+1 +2x^2+9x-6
Answer:
5x² + 9x - 10
Step-by-step explanation:
To completely simplify this equation, add all like terms.
3x² - 5 + 1 + 2x² + 9x - 6
= 5x² + 9x - 10
hope this helps :)
A linear model A. always predicts a straight line B. always predicts a curved line C. sometimes predicts a straight line and sometimes a curved line D. usually predicts a straight line
A linear model always represents a straight line which is x + y = c. Then the correct option is A.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A linear model is given as
x + y = c
In the linear model, the power of the variable is one and the equation represents on the graph as a line.
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please i need someone to help me here
Answer:
See below ~
Step-by-step explanation:
No place where V has been marked∠EOF = 180° - 126° = 54°∠COE = ∠BOF = 126°∡CBF = 180°∡BCD = 54° + 63° = 117°∡BEF = 180° + 54° = 234°Which trigonometric function does the graph below represent?
Answer:
(d) 2sin(2θ +π/4) -1
Step-by-step explanation:
The graphed function has a midline of -1 (eliminates choice A). It will be a cosine function shifted right π/8 units, or a sine function shifted left π/8 units.
__
The shift is accomplished by replacing θ with (θ -π/8) in the sine function, or (θ +π/8) in the cosine function. That means, we're looking for an expression that is either of ...
2(cos(2(θ-π/8)) -1 = 2cos(2θ -π/4) -1 . . . . . no match
or
2(sin(2(θ+π/8)) -1 = 2sin(2θ +π/4) -1 . . . . . matches choice D
_____
Additional comment
In the form ...
g(x) = K·f(C(x -A)) +B
the factor K is a vertical stretch factor, C is a horizontal compression factor, A is a right shift, and B is an up shift. In this function, we have its amplitude stretched by a factor of 2, a down shift of 1 unit, and a horizontal shift of π/8. The horizontal compression factor is 2.
__
The amount of horizontal shift for the cosine function is found at the peak nearest the y-axis. The amount of horizontal shift for the sine function is found at the upward midline crossing nearest the y-axis.
A circle has an arc of length 36 with central angle 40°. Find the circumference of the circle.
Answer: 324.02
Step-by-step explanation:
Radius 51.57
How many whole numbers are there from 25 to 38?
Answer:
there is 13 whole number between 25 and 38
HEEEEEELP
Solve for x. Leave your answer in simplest radical form.
Answer:
Here is the answer hope it helps:)
In Valentina’s piggy bank there are just as many nickels as pennies, three more dimes than nickels, and five fewer quarters than pennies. How many of each kind of coin are there if Valentina has $3.97 in her bank?
Answer: 15 dimes 12 nickels 12 pennies 7 quarters?
Step-by-step explanation:
The distribution of professional baseball player salaries has a mean of $3.2 million. an analyst believes that the mean salary for teams on the east coast is different. the analyst randomly selects 50 baseball players from teams on the east coast and records their annual salaries. the mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. a significance test at an alpha level alpha = 0.05 of produces a p-value of 0.02. what is the correct interpretation of the p-value?
a. assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone.
b.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone.
c.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone.
d.assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone.
Answer:
c
Step-by-step explanation:
add the numbers 197,203 and 423 in two ways fast
Answer:
823
Method 1
Break the three numbers into hundreds, tens and units, then add these separately (starting with the units)
197 = 1 hundred, 9 tens, 7 units
203 = 2 hundreds, 0 tens, 3 units
423 = 4 hundreds, 2 tens, 3 units
Units: 7 + 3 + 3 = 13
Tens: 9 + 2 = 11 tens = 110
Hundreds: 1 + 2 + 4 = 7 hundreds = 700
Add these together: 700 + 110 + 13 = 823
Method 2
First add 203 to 197:
Borrow the 3 from 203 and add it to 197: 197 + 3 = 200
Add the remaining 200: 200 + 200 = 400
Now add 423 to 400: 400 + 423 = 823
⇒ 203 + 197 + 423 = (203 + 197) + 423
= 400 + 423
= 823
The distance between two cities on a map 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
70 kilometers
Step-by-step explanation:
if 1 cm is equal to 20 kilometers, then 3 cm would be 60 kilometers, and 0.5 cm would be 10 kilometers. making 3.5 cm 70 kilometers.
Simplify x = cos[2 arcsin(3/5)].
-7/25
7/25
4/5
Answer:
7/25
Step-by-step explanation:
Let [tex]\theta= \arcsin(\frac{3}{5})[/tex] so we have [tex]x=\cos(2\theta)[/tex]
As [tex]\cos(2\theta)=\cos^2\theta-\sin^2\theta[/tex], we'll have [tex]\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2[/tex]
To determine [tex]\cos(\arcsin(\frac{3}{5}))[/tex], construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since [tex]\theta=\arcsin(\frac{3}{5})[/tex], then [tex]\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, [tex]\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]. This means that [tex]\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}[/tex].
Hence, [tex]\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}[/tex]
