Window Rock Recruitment Agency just placed Alejandro Rivera in a job as an assistant
pharmacist. The job pays $71,500 annually. The agency fee is equal to 40% of the first
5 weeks' pay. Demonstrate and explain how you would be able to determine what he will
earn during the first 4 weeks if he pays the agency fee weekly?
Answers
Answer: To determine Alejandro's earnings for the first 4 weeks, we first need to calculate his weekly pay. To do this, we divide his annual salary by the number of weeks in a year:
Annual salary / 52 weeks/year = weekly pay
$71,500 / 52 weeks/year = $1,375/week
Next, we need to determine the agency fee that Alejandro will pay each week. The agency fee is equal to 40% of the first 5 weeks' pay, so we multiply Alejandro's weekly pay by 40% to get the agency fee:
Weekly pay * 40% = agency fee
$1,375/week * 40% = $550/week
Finally, to determine Alejandro's earnings for the first 4 weeks, we multiply his weekly earnings by the number of weeks:
Weekly pay * number of weeks = earnings
$1,375/week * 4 weeks = $5,500
So, Alejandro will earn $5,500 during the first 4 weeks of his new job, after paying the agency fee each week.
Related Questions
Sample response: The product of two numbers with
different signs is negative, so 2(-12) = -24, not 24. Then
-24-(-30) = -24 + 30 = 6.
Select all the information you considered when writing
your response.
The product or quotient of two integers with
different signs is negative.
To subtract an integer, add its opposite.
To add integers with opposite signs, subtract the
absolute values. The sum has the same sign as the
integer with the greater absolute value.
Answers
By considering these rules and properties of integers, the correct result of 6 was obtained.
When writing the response, I considered the following information:
The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.
To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.
To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.
This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.
By considering these rules and properties of integers, the correct result of 6 was obtained.
for such more question on integers
https://brainly.com/question/22008756
#SPJ8
what is the pattern 2 10 40 120
Answers
Answer:
2 plus 3
Step-by-step explanation:
Trey will attend a -year college, and he is planning his budget.
Answer the following.
(a) Below is an estimate of all his expenses and sources of funding for his -year college education.
For each, select whether it is an expense or a source of funding.
Expense Funding
Scholarships:
Grants:
Housing and food:
Work-study (part-time job):
Personal expenses:
Transportation:
Tuition and fees:
Books and supplies:
(b) What is the total of his estimated expenses?
(c) What is the total of his estimated funding?
(d) Can Trey expect to have enough money for his education? How much is the difference?
Answers
The examples of funding include scholarship, grants, part time job, etc.
What is funding?Your information is incomplete as the values aren't given. Therefore, an overview will be given.
The funding are needed to cater for school fees and other necessary fees. They include scholarship, grants, and part time job.
The expenses are books, transportation, housing, books, and food.
Learn more about funding on:
https://brainly.com/question/25887038
The movie theater took in $1,174 one Monday night. The number of $7 child tickets was ten more than twice the number of $9 adult tickets. How many of each were sold?
child tickets :
adult tickets :
Answers
Answer:
Adult tickets:48
Child tickets:106
Step-by-step explanation:
7(2a + 10) + 9A = 1174 A = Adult tickets
14a + 70 + 9a = 1174 C = Child tickets
23a + 70 = 1174
23a + 70 - 70 = 1174 - 70
23a/23 = 1104/23
A = 48
C = 48(2) + 10
C = 96 + 10 = 106
3. (07.09)Given the following functions f(x) and g(x), solve(-3) and select the correct answer below: (1point)f(x) = 6x + 8=g(x) = x - 2O-2NI2.0INO 2
Answers
Knowing the functions f(x) and g(x), we can express (f/g)(x) as:
\(\frac{f}{g}(x)=\frac{f(x)}{g(x)}=\frac{6x+8}{x-2}\)we then can calculate (f/g)(-3) by replacing x with -3:
\(\begin{gathered} \frac{f}{g}(-3)=\frac{6(-3)+8}{-3-2} \\ \frac{f}{g}(-3)=\frac{-18+8}{-5} \\ \frac{f}{g}(-3)=\frac{-10}{-5} \\ \frac{f}{g}(-3)=2 \end{gathered}\)Answer: (f/g)(-3) = 2
Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.
write an exponential function to represent the spread of carters social media post.
Answers
The exponential function will be equal to y = 20ˣ.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carter shared his post with 10 friends, who each share with only 2 people each day.
The exponential function will be written as,
y = abˣ
y = 10(2)ˣ
y = 20ˣ
Therefore, the exponential function will be equal to y = 20ˣ.
To know more about an exponential expression follow
https://brainly.com/question/20168834
#SPJ1
Answer:
f(x) = 10(2)^x
Step-by-step explanation:
Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.
simplify the following 72÷6+3×2
Answers
Answer:
18
Step-by-step explanation:
Use PEDMAS
In this, we have to do first division , then multiplication and finally addtion.
72 ÷ 6 + 3*2 = 12 + 3*2 {division is done}
= 12 + 6 {Multiplication is done}
= 18
Solve the problem below:
6315*41=
Show your work
Answers
The value of 6315 ×41 is 260391.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We have to find the product of 6315 times of forty one
6351
× 41
_______
6351
25404+
__________
260391
Hence, the value of 6315 ×41 is 260391.
To learn more on Multiplication click:
https://brainly.com/question/5992872
#SPJ1
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answers
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
A blacksmith has been studying vector calculus and wants to calculate the total mass of a curved metal fitting. Given that the metal fitting has a helix shape parameterized by C:[0,π] → IR3 C(t) = (cos (t), sin(t), t) And the density of the metal material is given by the function:f(x,y,z) = 22 How can the black smith calculate the total mass of the fitting and what is this mass?
Answers
Answer:
4483.1
Step-by-step explanation:
Helix shape of the metal fitting parameterized :
C(t) = (cos(t), sin(t), t )
This shows that: x = cos(t), y = sin(t), z = t
density of the metal can be represented as
f (x(t), y(t), z(t) = 2z = 2t
To calculate the mass of the fitting an integral is generated below ( attached below is remaining part of the solution )
The equation of a circle is:
(x-2)^2 + (y+4)^2 = 25
Part A:
Determine the center and the radius of the circle.
...is this correct?
Answers
The requried center and radius of the given circle are (2, -4) and 5.
The standard equation of a circle is given as,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circles and r is the radius of the circle,
The equation of the given circle is,
(x - 2)² + (y + 4)² = 25
Comparing the above equation with the standard equation we have,
(h, k) = (2, -4)
r² = 5²; r =5
Thus, the requried center and radius of the given circle is (2, -4) and 5.
Learn more about Circle here:
https://brainly.com/question/29288238
#SPJ1
PLEASE HELP!!!!!
Abigail is studying for the school spelling bee. She already knows 204 words from the vocabulary list. Each day, she learns
24 additional words from the vocabulary list.
Which equation can be used to determine the total
number of words Abigail knows from the vocabulary list, y, over x days?
• A. y=24-204
•b y=24+204
• y=24(x+204)
Answers
Answer:
I think that it is y=24(x+204)
okay so x is the number of days and you would multiply that by 24 because that’s how many words she learns each day and you would add 204 because that’s how many words she already knows. hope this helps
HELP I DONT KNOW HOW TO DO THIS : international space station anniversary emoji math
Answers
if f(x) = x^2 + 2, which interval describes the range of this function
Answers
The interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).
What is domain and range of function?
Domain of a function is the set of all the possible input values which are valid for that function. Range of a function is the set of all the possible output values which are valid for that function.
The given function is,
\(f(x) = x^2 + 2\)
The domain of this function is all real numbers. As the quadratic function has the constant value of 2. The vertex of the function is at 0,-2. Thus, the range of this function is,
\(y\in R, y\geq -2\)
Thus, the interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).
Learn more about the range of the function here;
https://brainly.com/question/2264373
#SPJ2
how could a western district become a state?
Answers
Answer:
What are you looking at ᭙єɨᏒᗡꪮ
Explanation:
The most significant int It provided that at least three buWisconsin. A portion (about a third) of wo part of the territory.
hehehehehehe
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? Answer: 168 adult tickets
Answers
asswnjsshshebbdudiejbdbxhxhxhxhdhdhdhdhdhdhhdhdhdbd
Answer:
Step-by-step explanation:
10.5a + 3.75b = 2071.50
b = 82 students
Substitute 'b' value in the equation
10.5a + 3.75 * 82 = 2071.50
10.5a + 307.5 = 2071.50
10.5a = 2071.50 - 307.5
10.5a = 1764
Divide both sides by 10.5
a = 1764/10.5
a =17640/105
a= 168
168 adult tickets were sold
An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations for which the individual was cited during the last 3 years. The probability mass function of X is given below as; Number of moving violations (X) 0 1 2 3 4 P(X) 0.17 0.23 0.27 0.24 0.09 What is the cumulative distribution function
Answers
Answer:
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Step-by-step explanation:
Given that;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;
so
x F(x)
0 P(X = 0) = 0.17
1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4
2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65
3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91
4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1
Therefore, cumulative distribution function f(x) is;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
Answers
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
Learn more about monthly installment at https://brainly.com/question/3260195
#SPJ1
What is the inverse of 520/2=260
Answers
Solution;
\(\begin{gathered} \frac{520}{2}=260 \\ \end{gathered}\)The inverse is given as;
\(260\times2=520\)Which sentence includes a descriptive adjective in a prepositional phrase?
A) The high-stepping band played with a lively beat.
B) The brass horns sparkled in the sun.
C) Baton-twirlers tossed their tasseled sticks high.
D) They wore tall hats trimmed with braid.
Answers
Answer:
The option c is the descriptive adjective in a prepositional phrases.
Please help me with this question, I need it to pass the class!!
Answers
Answer:
cos(20°)
Step-by-step explanation:
The "cofunction" is the function having the same value for the complement of the angle that this function has for the angle.
The cofunction of sine is cosine. The complement of 70° is 90° -70° = 20°.
sin(70°) = cos(20°)
(6.2 x 10²) x (3.5 x 10³)
Answers
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Use the figure to find x.
Answers
Answer:
\( x = 8.57\)
Step-by-step explanation:
Here two triangles are given to us , which are attached to each other . Here we can use the concept of Trigonometry to find out the value of x. The angles of the triangle are 60° and 45° . Let the common side be p .
Step 1: Use the ratio of tan in upper triangle
\(\rm\implies tan60^o = \dfrac{perpendicular}{base} \)
Substitute the respective values ,
\(\rm\implies \sqrt3=\dfrac{p}{7} \)
Cross multiply ,
\(\rm\implies p = 7\sqrt3 \)
Step 2: Use the ratio of cos in lower triangle
\(\rm\implies cos45^o = \dfrac{base}{hypontenuse} \)
Substitute the respective values ,
\(\rm\implies \dfrac{1}{\sqrt2}=\dfrac{x}{7\sqrt3} \)
Cross multiply ,
\(\rm\implies x= \dfrac{7\sqrt3}{\sqrt2} \)
Put the approximate values of √2 and √3
\(\rm\implies x= \dfrac{7\times 1.732}{1.414} \)
This equals to ,
\(\rm\implies \boxed{\blue{\rm \quad x = 8.57\quad}} \)
Hence the value of x is 8.57 .
Answer:
The value of x is \(\frac{7\sqrt{6}}{2}\)
Solution given:
AB=7
BD=x
<BAC=60°
<DBC=45°
In right angled triangle ABC
Tan 60°=opposite/adjacent
Tan 60°=BC/AB
Substitute value
\(\sqrt{3}\)=\(\frac{BC}{7}\)
BC=\(7\sqrt{3}\)
again
againIn right angled triangle BCD
againIn right angled triangle BCDUsing Cos angle
Cos 45=adjacent/hypotenuse
Cos45°=BD/BC
Substituting value
\(\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}\)
Doing criss cross multiplication
\(\frac{\sqrt{2}}{2}*7\sqrt{3}=x\)
x=\(\frac{7\sqrt{6}}{2}\)
estimate the original volume of the pyramid in fig 15.28 given that it's frustum has a 4 m by 4 m squared top which is 12 m vertically above the square base which is 20 m by 20 m (assume that the original problem was raised to a point . Neglect the volume of the entrance of the right of the photograph)
Answers
Answer:
Step-by-step explanation:
To estimate the original volume of the pyramid in Figure 15.28, we can use the formula for the volume of a frustum of a pyramid. The frustum is the portion of the pyramid between the top and bottom, created by removing the top section.
The formula for the volume of a frustum of a pyramid is:
V = (1/3) * h * (A + sqrt(A * B) + B)
Where:
V = Volume of the frustum
h = Height of the frustum (vertical distance between the top and bottom)
A = Area of the top base
B = Area of the bottom base
Given the dimensions provided, we can calculate the areas of the bases:
Area of the top base (A) = 4 m * 4 m = 16 m²
Area of the bottom base (B) = 20 m * 20 m = 400 m²
The height of the frustum (h) is given as 12 m.
Now we can plug these values into the formula:
V = (1/3) * 12 m * (16 m² + sqrt(16 m² * 400 m²) + 400 m²)
Calculating the square root and simplifying:
V = (1/3) * 12 m * (16 m² + 20 m² + 400 m²)
V = (1/3) * 12 m * (436 m²)
V = 1744 m³
Therefore, the estimated original volume of the pyramid in Figure 15.28 is approximately 1744 cubic meters.
I just need to know the third one pls
Answers
Answer:
98
Step-by-step explanation:
we're doing PEDMAS, so do Exponents first.
3² = 9
8 + 10 x 9
Multiply
8 + 90
Add
98
The sum of 10 and b, times 8
Answers
A function f is onto if and only if, each element in the codomain of f is the image of at _____ one element in the domain of f
Answers
Answer:
A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.
Step-by-step explanation:
A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.
Let us consider a function f which maps the elements of X to each element in the domain of f, such that
f(1) = D
f(2) = B
f(3) = C
f(4) = C
From here, we can determine the domain and range, so
Domain X of f = {1, 2, 3, 4}
Domain Y of f = {D, B, C}
Therefore, it is clear that every element in the codomain of f is the image of at least one element in the domain of f.
Help with the following equation 8x²-6x-5=x
Answers
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
My father decides increase my Pocket money by 20% I receive per month P100 a) what is the of the increase?
Answers
Answer:
100x20%=20
So 100+20=120
OR
100x120%=120
Convert the following decimal numbers to BCD and add them. Convert the result back to decimal to check your answer
(a) 8
(b) 43
(c) 12 + 16
(d) 47 +38
(e) 36 +22
(f) 80 + 23 + 72
(g) 12 +89
(h) 99
Answers
Answer and Step-by-step explanation:
Solution:
(a) 8 + 3
Convert into BCD:
8 = 1000
3 = 0011
Add them:
8 + 3 = 11
1000 + 0011 = 1011
Answer is correct.
(b) 43 + 72
Convert into BCD:
43 = 0100 0011
72 = 0111 0010
Add them:
43 + 72 = 115
0100 0011 + 0111 0010 = 0001 0001 0101
(c) 12 + 16
Convert into BCD:
12 = 0001 0010
16 =0001 0110
Add them:
12 + 16 = 28
0001 0010 + 0001 0110 = 0010 1000
00101000 = 00101000
Hence Answer is correct.
(d) 47 + 38
Convert into BCD:
47 = 0100 0111
38 =0011 1000
Add them:
47 + 38 = 85
0100 0111 + 0011 1000= 1000 0101
(e) 36 + 22
Convert into BCD:
36=0011 0110
22=0010 0010
Add them:
36 + 22 = 85
0011 0110 + 0010 0010 = 1000 0101
(f) 80 + 23 + 72
Convert into BCD:
80 =1000 0000
23 = 0010 0011
72 = 0111 0010
Add them:
80 + 23 + 72 =175
1000 0000 +0010 0011+ 0111 0010 = 0001 0111 0101
(g) 12 + 89
Convert them into BCD:
12 = 0001 0010
89 = 1000 1001
Add them:
12 + 89 = 101
0001 0010 + 1000 1001 = 0001 0000 0001
(h) 99
Convert into BCD:
99 = 1001 1001