A miner earns a wage of $28.42 per hour, plus an allowance of $9.97 per hour for working underground in confined spaces. If the miner works from 8.30am to 4.00pm each day from Monday to Friday, calculate his yearly income
Answer:
$74,860.50
Step-by-step explanation:
Wages per hour = $28.42
Allowance per hour = $9.97
8.30am to 4.00pm = 7.5 hours
Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97
= $213.15 + $74.775
= $287.925
Weekly income (Monday - Friday) = 5 days * $287.925
= $1,439.625
There are 52 weeks in a year
Yearly income = 52 weeks * $1,439.625
= $74,860.50
His yearly income = $74,860.50
Please answer quick!
Which segment is the image of Line segment A B reflected across the line y = negative 2?
On a coordinate plane, segment A B goes from (2, negative 7) to (8, negative 3), segment J K goes from (2, 7) to (8, 3), segment G H goes from (2, 3) to (8, negative 1), segment F A goes from (negative 4, negative 3) to (2, negative 7), and C D goes from (negative 8, negative 3) to (negative 2, negative 7).
A.)Line segment A F
B.)Line segment D C
C.)Line segment G H
D.)Line segment J K
Answer:
C on edge 2021
Step-by-step explanation:
Answer: GH
Step-by-step explanation:
Can someone help me out I need help!
Answer:
15x*45 i think
Step-by-step explanation:
Replace each ? with an expression that will make the right side of the equation equivalent to the right side.
1. 6x+?= –10x
2. 6x+?= 10
Answer:
2 if x=2
Step-by-step explanation:
Boris rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 88 cents for each mile driven. Boris had to pay 138.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
$220.02 - $16.99 = $203.03
$203.03 / $.79 = 257 miles
Answer = 257 miles
Step-by-step explanation:
Hope this helps! Have a great day!
Calculate the quotient.
A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?
What are the answers?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
valor numerico
10x para x= -3
Answer: -30
Step-by-step explanation:
multiplicación simple 10(-3) = -30
the sales tax rate is 5%, if Kayden buys the digital camera priced at $837.41 how much tax will he pay round your answer to the nearest cent
Answer:
$41.87
Step-by-step explanation:
$837.41×0.05=$41.8705 or $41.87
the taxes will be $41.87
You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?
Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
plz help giving big bucks 50 points
Answer:
A
We can see that the graph is shaded to the left of -1. This means that x is all values less than (<) -1, so C and D are incorrect. Additionally, since the dot is not filled in, this means that x is not going to be equal to -1, which eliminates B. This leaves A, x < -1.
Step-by-step explanation:
16 skiers on 4 boats
please help, will be grateful and give brainliest!
Answer:
x=216°
Step-by-step explanation:
100%=360°
To find 10% divide by 10
10%=36°
x4
40%=144°
in a full circle thered 360°
360-144=216°
x=216°
4x2 is the GCF of this polynomial.
20x2y + 56x3 – ?
Which could be the mystery term?
22x3
24x2y
26x2y
28y3
Answer:
B: 24x2y
Step-by-step explanation:
edge
Since 4x² is the GCF of this polynomial, the mystery term could be given by:
24x²y
What is the greatest common factor of a polynomial?It is the multiplication of the GCF of the numeric constants by the GCF of the coefficients.
In this problem, the GCF is of 4x², which means that for the third term:
The numeric value must be a multiple of 4, which leaves the second and the fourth option.The variable must be a multiple of x², which means that 24x²y is the possible mystery term.More can be learned about the greatest common factor at https://brainly.com/question/6032811
Which expression is equivalent to 364ab7c9?
ANSWER ASAP!!!
What are the coordinates of the point in Quadrant
IV on the coordinate plane??
a. (4,1)
b. (1,4)
c. (—4,5)
d. 5, —4)
Answer:
c
Step-by-step explanation:
got it right on edjenuity
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
Please help this is the last problem I need
Answer:
[tex]sin 54 = \frac{x}{14}[/tex]
Step-by-step explanation:
[tex]sine = \frac{opposite}{hypotenuse}[/tex]
Side z is the adjacent, since it is next to the angle you are solving for.
Side x is the opposite, since it is opposite the angle you are solving for.
The side measuring 14 is the hypotenuse, since it is across from the right angle.
[tex]sin 54 = \frac{x}{14}[/tex]
When salt and water are combined, they form a salt or saline solution. How much ml of water must be added to 150 mL of an 80% saline solution to produce a 30% saline solution?
Share 120 in the ratio 1:5
Find the area of the polygon pls
Given:
The figure of a polygon.
To find:
The area of the polygon.
Solution:
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
Area of trapezoid is
[tex]Area=\dfrac{1}{2}(a+b)h[/tex]
Where, a, b are bases and h is the height.
The area of the triangle with base 6 cm and height 8 cm is
[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]
[tex]A_1=24[/tex]
Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is
[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]
[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]
[tex]A_2=(9)(5)[/tex]
[tex]A_2=45[/tex]
Now, the total area of the polygon is
[tex]A=A_1+A_2[/tex]
[tex]A=24+45[/tex]
[tex]A=69[/tex]
Therefore, the area of the polygon is 69 sq. cm.
how do I solve y=9(1+0.03) to the 4th power
Answer:
7384.46330241 or 7384.5
Step-by-step explanation:
first to find the Y you had to use distributive property
1. 9(1+0.03) = 9+0.27
2. 9+0.27= 9.27
3. 9.27 to the 4th power will be 7384.46330241 or 7384.5
Answer:
10.13
Step-by-step explanation:
Remark
The correct way to do this is to add what is inside the brackets (the terms are alike so you can do that) and raise the result to the forth power. Then you multiply by 9.
Solution
1 + 0.03 = 1.03
1.03 ^4 = 1.1255
1.1255 * 9 = 10.13
You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.
what are the odds against the spinner stopping at a blue section?
(Answer is a fraction)
Answer:
3/7
Step-by-step explanation:
you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven
15. Cedric lives at one end of Main Street, and Landon lives at the other end of the street. Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house. How many more meters must Cedric walk to arrive at Landon's house? 2.12 m 9,920 m 2,120 m 3,920 m
Answer:
2,120 m
Step-by-step explanation:
Cedric lives at one end of Main Street, and Landon lives at the other end of the street
Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.
Step 1
We calculate the kilometers Cedric has to walk to arrive at Landon's house
This is given as:.
6.02km - 3.9 km
= 2.12 km
Step 2
How many more meters must Cedric walk to arrive at Landon's house?
We convert from km to m
1 km = 1000m
2.12km = x
Cross Multiply
x = 2.12 × 1000m
x = 2120 m(meters)
Find the inverse of the matrix (if it exists). (If the answer does not exist, enter DNE in any cell of the matrix.)
Answer:
[tex]\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}[/tex]
This is the formula we will use. Accordingly:
[tex]=>\frac{1}{\det \begin{pmatrix}-15&28\\ 8&-15\end{pmatrix}}\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]
det represents the determinant
if the determinant is 0 then only the inverse matrix will not exist. So let's find the determinant.
[tex]\det = \left(-15\right)\left(-15\right)-28\cdot \:8\\ = 1[/tex]
Now we multiply the following matrix by 1/1:
[tex]\frac{1}{1}\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix} = \begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]
Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
help i hate math pls
Answer:
31.5
cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3
Three-quarters of a pound of candy cost 66 cents. Find the cost of one pound
of candy.
Answer:
$0.88 per pound
Step-by-step explanation:
you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound
Which of the following describes the graph of y- V8x--64 - 5 compared to the parent cube root function?
O stretched by a factor of 2 and translated 64 units right and 5 units down
O stretched by a factor of 8 and translated 8 units right and 5 units down
O stretched by a factor of 2 and translated 8 units right and 5 units down
O stretched by a factor of 8 and translated 64 units right and 5 units down
Answer: option 4
Step-by-step explanation:
The transformation of the parent function is stretched by a factor of 2 and translated 8 units right and 5 units down
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) = ∛x
And , the given function is y = ∛ ( 8x - 64 ) - 5
On simplifying , we get
Taking 8 as the common factor , we get
y = ∛ 8 ( x - 8 ) - 5
Now , the cube root of 8 is 2
So , y = 2∛(x - 8 ) - 5
The transformed function is y = 2∛(x - 8 ) - 5
And , the transformation is a vertical stretching by a factor of 2
And , a horizontal right shift by 8 and a vertical down shift by 5
Hence , the transformation of function is stretching by a factor of 2 and translated 8 units right and 5 units down
To learn more about transformation of function click :
https://brainly.com/question/26896273
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n=3, 3 and 4 I are zeros, f(1)=-68
Make h the subject
G=5h-2f÷3
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )