A semiconductor manufacturing company employs 1,000 people. The average weekly salary of each employee is $750.
Select the graph that correctly shows the total cost to the company of paying its employees during a year.
Answers
Answer:
Graph A is the correct choice.
Step-by-step explanation:
Let x be the number of weeks.
We have been given that a semiconductor manufacturing company employs 1,000 people. The average weekly salary of each employee is $750.
Let us find the weekly salary for 1000 employees by multiplying 1000 by $750.
[tex]\text{The weekly salary for 1,000 employees}=1,000\times \$750[/tex]
[tex]\text{The weekly salary for 1,000 employees}=\$750,000[/tex]
Let us find amount of salaries after 52 weeks as 1 year equals 52 weeks.
[tex]\text{The amount of salaries after 52 weeks for 1,000 employees}=52*\$750,000[/tex]
[tex]\text{The amount of salaries after 52 weeks for 1,000 employees}=\$39000000[/tex]
Since at week 0, the salaries for 1000 employees will be also 0, so point (0,0) will be on the line of our graph.
Now let see which of our given graphs has point (0,0) and (52,39000000).
We can see that graph A has y-value 39 million on x equals 52, therefore, Graph A is the correct choice.
Related Questions
Toby just graduated from four years of college. At the beginning of each year, he took out a Stafford loan with a principal of $6,125. Each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. All of the loans were subsidized. Toby plans to pay off each loan in monthly installments, starting from his graduation. What is the total lifetime cost for Toby to pay off his 4 loans? Round each loan's calculation to the nearest cent.
a.
$7,904.04
b.
$31,616.16
c.
$10,393.82
d.
$36,490.25
Would appreciate if you could show the work for how this is done.
p.s. I later submitted this question and the answer is B.
Answers
The cost that's necessary to pay the loan will be $31,616.16.
How to calculate the cost of the loanFirst, we need to calculate the effective monthly interest rate. This will be:
i = 0.053/12
= 0.0044
The effective annual interest rate will then be:
i = (1 + 0.0044)^12 - 1
I = 0.0543
Next thing will be to calculate the present worth of all the loans which will be:
P = 6125 + 6125 (1 + 0.0543) + 6125 (1 + 0.0543)² + 6125(1 + 0.0543)³
P = $22,671.40
The worth of the loans after four years will be:
P = 22671.40 (1 + 0.0543)⁴
= $31,616.16
In conclusion, the correct option is $31,616.16.
Learn more about loans on:
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To calculate the total cost of Toby's 4 Stafford loans, the monthly amount for one loan is first calculated and then multiplied by four and by the number of months. The correct total lifetime cost is approximately $31,569.60.
To determine the total lifetime cost that Toby will pay to pay off his 4 Stafford loans, each with a principal of $6,125, an interest rate of 5.3% compounded monthly, and a loan duration of ten years, we need to calculate the monthly payment for a single loan and then multiply by the number of loans and the duration. The formula for the monthly payment on an installment loan is:
P = P[r(1+r)^n] / [(1+r)^n - 1]
where:
P is Principle Amountr is rate of interestn is time in yearsUsing the data given:
P = $6,125 * [0.004417(1 + 0.004417)^120] / [(1 + 0.004417)^120 - 1]
Calculating this gives us a monthly payment of approximately $65.77 for each loan. Toby took out 4 loans, so his total monthly payment is 4 * $65.77 = $263.08.
The total lifetime cost for a single loan is the monthly payment * number of payments (120), which is:
Total cost for one loan = $65.77 * 120 = $7,892.40
And the total lifetime cost to pay off all 4 loans:
Total cost for all loans = $7,892.40 * 4 ≈ $31,569.60
Therefore, rounding each loan's payment to the nearest cent, the total lifetime cost to pay off all 4 of Toby's loans is roughly $31,569.60, making the answer option b the correct one.
what is 2.999 rounded to the nearest hundreth?!!
Answers
The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the side of the triangle is 8 more than the width of the rectangle. Which statements about this scenario are true if we use the variable w to represent the width of the rectangle?
Answers
The perimeter of rectangle is w+w+2w+2w = 6w
Set them equal to solve for w:
6w = 3w +24
3w = 24
w = 8
Answer:
for online school people it will be 2,3,4
Step-by-step explanation:
i did the assigment
The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.
Answers
Final answer:
The absolute value equation that represents the minimum and maximum heights of adult women, with heights represented by x, is |x - 58| = 34.
Explanation:
To write an absolute value equation representing the minimum and maximum heights of adult women, where the shortest known adult woman is about 24 inches tall and the tallest known adult woman is about 92 inches tall, we can use the variable x to represent an adult woman's height. The midpoint between the smallest and largest height is (24 + 92) / 2 = 58 inches. The distance from this midpoint to each extreme is 34 inches, because 92 - 58 = 34 and 58 - 24 = 34. So, the absolute value equation would be |x - 58| = 34. This equation represents that the height of an adult woman can deviate from 58 inches by 34 inches to be either at the minimum or maximum height recorded.
Final answer:
The absolute value equation representing the minimum and maximum heights of adult women is |x - 58| = 34, where x is the height in inches.
Explanation:
The objective is to write an absolute value equation to represent the minimum and maximum heights of adults.
Using the heights given for the shortest and tallest known adult women, 24 inches and 92 inches respectively, we set the variable x to represent an unknown height.
To express this as an absolute value equation, we identify the midpoint between these two heights, which is (24 inches + 92 inches) / 2 = 58 inches.
The distance from the midpoint to either extreme is (92 inches - 58 inches) = 34 inches, which is the absolute difference.
Therefore, our absolute value equation is |x - 58| = 34.
This equation tells us that the height x must be either 34 inches above or below 58 inches, which corresponds to the minimum and maximum heights of 24 inches (58 - 34) and 92 inches (58 + 34) respectively.
sin2x=(\sqrt(3))/(2)
Answers
arcsin((√3)/2) = 2*x
x = arcsin((√3)/2)/2 = [tex] \frac{ \pi}{6}, \frac{ \pi}{3} [/tex]
Given: line segment AB≅line segment BC
Prove: The base angles of an isosceles triangle are congruent.
The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent.
Statement Reason
1. segment BD is an angle bisector of ∠ABC. 1. by Construction
2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector
3. segment BD ≅ segment BD 3. Reflexive Property
4. 4. Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA 5. CPCTC
Which statement can be used to fill in the numbered blank space?
A. ΔDAB ≅ ΔDBC
B. ΔABD ≅ ΔABC
C. ΔABC ≅ ΔCBD
D. ΔABD ≅ ΔCBD
Answers
In the given two column proof two sides and included angles are equal.
Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.
The correct option for missing statement is D. ΔABD ≅ ΔCBD .
Answer:
ΔABD ≅ ΔCBD
Step-by-step explanation:
Guys this is the right answer, ΔABD ≅ ΔCBD. I got it right on my test!
NEED HELP I SUCK AT MATH AND LIFE IN GENERAL =)
2 .A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11)(2,−11) .
What is the rate of change for the linear function and what is its initial value?
Select from the drop-down menus to correctly complete the statements.
Options for rate of change: a. -11 b. -5 c. 0 d. 5
options for initial value: a. -11 b. -2 c. -1 d. 0
3. Maria is saving money so she can go to a professional football game. Maria has $25. She saves $5 a week.
Graph a ray to represent the amount she saved over time.
( i am really bad at graphs but you're just graphing this i guess???)
4. The temperature decreases by 0.5 degrees every hour.
5. x −2−2 −1−1 0 1 2
y −6−6 −4−4 −2−2 0 2 how would you put that onto a graph???
9. What is the equation of a line with a slope of 1212 and a point (3, 1) on the line?
Express the equation in the form of y=mx+by=mx+b where m is the slope and b is the y-intercept.
10.What does the initial value mean for this function?
Roberta saves $10 each week.
After 4 weeks, Roberta has $90.
Roberta had $50 before she started to save money each week.
Roberta had no money until she started to save $10 a week.
Answers
If you have two points, (x1, y1) and (x2, y2), the rate of change or slope would be
[tex] \frac{y2-y1}{x2-x1} [/tex].
In your problem, the given points are (0, -1) and (2, -11).
Using the formula for rate of change, the rate of change would be:
[tex] \frac{-11+1}{2-0} = \frac{-10}{2}=-5 [/tex].
The "initial value" is the y-intercept - where the graph intersects the y-axis and also where x = 0. The given point (0, -1) has x = 0, so the initial value is -1.
4. Remember the model equation for a graph of a line is
y = mx + b,
where m is slope and b is y-intercept - where the graph intersects the y-axis and also where x = 0.
The x-axis of the graph would be number of weeks, since it is independent.
The y-axis of the graph would be how much money she has.
Since she starts (at 0 weeks) at $25, the first point would be (0, 25). Notice here that it is the y-intercept since x = 0. The value of b in the model equation of a line y = mx + b would be 25.
The rate of change, or slope, is $5/week. This is m in the model equation of a line y = mx + b.
Putting b = 25 and m = 5 into the model equation y = mx + b (remember we use this equation because it works for all lines), the equation would be
y = 5x + 25.
4.
The slope of this will be -0.5degrees/hr, or just -0.5 if it is used as m in the
y = mx+b equation. The slope is negative because it "decreases".
5.
Plot each point and connect the dots. Remember the first number corresponds to the x-axis and the second to the y-axis.
For example in the table for x = -2 and y = -6, the point is (-2, -6), and from the origin (0,0) you go left 2 on the x-axis and down 6 to plot the point.
9.
I think you can do this if you can do #3, but now you have to find b by plugging in given values.
y = mx + b
y = 1212x + b
We can plug in the given point (3,1) to find b.
1 = 1212(3) + b
b = -3625
y = 1212 - 3625
10. Don't know which function you are referring to.
The slope is $10/week, or m = 10.
A point is (4, 90) because "After 4 weeks, Roberta has $90."
The y-intercept is 50 because x (weeks) = 0 at that time.
y = mx + b
y = 10x + 50
What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?
Answers
f(-3) = -36
f(2) = 4
average rate of change is:
Avg = (36 + 4)/(3+2) = 8
Note that we have to use +36 and not -36 because we need distance from -36 and 4 and that is 36 + 4 = 40... same goes for -3
A bag of 29 tulip bulbs contains 10 red tulip bulbs, 11 yellow tulip bulbs, and 8 purple tulip bulbs.
What is the probability that two randomly selected tulip bulbs are both red?
What is the probability that the first bulb selected is red and the second is yellow?
What is the probability that the first bulb selected is yellow and the second is red?
Answers
So, your final answer is 45/406
2) It would be: 10/29 * 11/28 = 110/812 = 55/406
So, your final answer is 55/406
3) It would be: 11/29 * 10/28 = 110/812 = 55/406
So, your final answer is 55/406
Hope this helps!
Answer:
The probability that two randomly selected tulip bulbs are both red is 0.11
The probability that the first bulb selected is red and the second is yellow is 0.13
The probability that the first bulb selected is yellow and the second is red is 0.13
Step-by-step explanation:
A bag of 29 tulip bulbs contains:
10 red tulip bulbs
11 yellow tulip bulbs
8 purple tulip bulbs
Part 1:What is the probability that two randomly selected tulip bulbs are both red?
No. of red tulips = 10
So, probability of getting red tulip in first draw = [tex]\frac{\text{Favorable events}}{\text{Total events}}[/tex]
= [tex]\frac{10}{29}[/tex]
Since 1 bulb is drawn . So, total no. of bulbs remaining = 28
And that 1 bulb is drawn from red bulbs . So, remaining red bulbs = 9
So, probability of getting red bulb in second draw = [tex]\frac{9}{28}[/tex]
Thus the probability that two randomly selected tulip bulbs are both red:
= [tex]\frac{10}{29}\times\frac{9}{28}[/tex]
= [tex]\frac{45}{406}[/tex]
= [tex]0.11[/tex]
Hence the probability that two randomly selected tulip bulbs are both red is 0.11
Part 2: What is the probability that the first bulb selected is red and the second is yellow?
No. of red tulips = 10
So, probability of getting red tulip in first draw = [tex]\frac{\text{Favorable events}}{\text{Total events}}[/tex]
= [tex]\frac{10}{29}[/tex]
Since 1 bulb is drawn . So, total no. of bulbs remaining = 28
No. yellow bulbs =11
So, probability of getting yellow bulb in second draw = [tex]\frac{11}{28}[/tex]
Thus the probability that the first bulb selected is red and the second is yellow
= [tex]\frac{10}{29}\times\frac{11}{28}[/tex]
= [tex]\frac{55}{406}[/tex]
= [tex]0.13[/tex]
Hence the probability that the first bulb selected is red and the second is yellow is 0.13
Part 3: What is the probability that the first bulb selected is yellow and the second is red?
No. of yellow tulips = 11
So, probability of getting yellow tulip in first draw = [tex]\frac{\text{Favorable events}}{\text{Total events}}[/tex]
= [tex]\frac{11}{29}[/tex]
Since 1 bulb is drawn . So, total no. of bulbs remaining = 28
No. red bulbs =10
So, probability of getting red bulb in second draw = [tex]\frac{10}{28}[/tex]
Thus the probability that the first bulb selected is red and the second is yellow
= [tex]\frac{11}{29}\times\frac{10}{28}[/tex]
= [tex]\frac{55}{406}[/tex]
= [tex]0.13[/tex]
Hence the probability that the first bulb selected is yellow and the second is red is 0.13
Choose all correct answers. Which of the following ordered pairs are solutions of the system, y > 3 and y < 2x + 2
A. (0, 2)
B. (2, 4)
C. (3, 5)
D. (-2, 0)
Answers
Maricella has a bag containing 35 nickles and quarters.The total value of these coins is less than $2.50. What is the maximum number of quarters that meets these conditions?
Answers
Let's start. First, we need to divide 250 by 25. This is because each quarter is worth 25 cents, and $2.50 is worth 250 cents.
You can do this on a calculator.
You should get an answer of 10.
This means that 10 quarters can fit in the bag IF THERE IS NO NICKLEs!!!!!So we are not finished.
We have to subtract one quarter.
So the maximum amount of quarters that can fit is 9.
You would have 5 nickles.
Your answer would be 9 quarters.
Comment of you have any questions!
$1.75-$0.05Q+$0.25Q=$2.50 Subtract $1.75 from each side.
$0.20Q=$0.75
Q=3.75 To have $2.50, you would have 3.75 quarters, so to have less, the maximum number of (whole) quarters would be 3
What percentage of Anchor Global Insurance Full Time employees are employed in the US?
No. Of Employees
FULL TIME PART TIME
US:1,740 170
South East Asia:670 64
UK:300 30
Europe:250 24
China:380 32
Middle East:135 12
Total Cost (IN $ MILLIONS)
Full Time PART TIME
47.0 2.5
Answers
number of full time employees in US with
total number of full time employees worldwide
Note that our denominator is only full time employees and not total number of employees (both full and part time) because that is what text is asking.
our ratio becomes:
1740/3475 = 0.5007
when multiplied by 100% to get in percentage we get around
50%
how do you round 17.92 to the tens
Answers
∧ ∧ this is the ones place
this is the tens place
if the ones place is lower then 5 you keep the tens the same. if the ones place is higher then 5 you round the tens place up one. so the answer is 17.90
Dan put's 11 dollars or his allowance in his savings account every week. how much money will he have affter 15 weeks
Answers
You multiply 11 and 15 in order to get your answer.
Hope this helps..
What is 12 less than 15 times x?
Answers
Need help solving for X
Answers
tan 75 = P / B
3.73 = 300 / x [ tan 75 = 3.73 ]
x = 300 / 3.73
x = 80.42
After round-off to the nearest tenth, it would be 80.4
So, your final answer is x = 80.4
Hope this helps!
What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA
Answers
The additional information needed to prove that ΔABC ≅ ΔDEF by ASA is two pairs of congruent angles and the included side between the two pairs of congruent angles.
We are given that;
The two triangles ΔABC and ΔDEF
Now,
To prove that ΔABC ≅ ΔDEF by ASA (Angle-Side-Angle) congruence criterion, we need the following information:
Two pairs of congruent angles.
The included side between the two pairs of congruent angles.
If two angles and one side of one triangle are equal to two angles and one side of another triangle, then they are congruent. For example, in ΔABC and ΔDEF, ∠A = ∠D, ∠B = ∠E and BC= EF then ΔABC ≅ ΔDEF by AAS criteria
Therefore, by congruent triangles answer will be two pairs of congruent angles and the included side between the two pairs of congruent angles.
Learn more about congruent triangles;
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What is the simplified form of each expression?
1. (–5.1)^0
1
0
–5.1
–1
2. 3g^-2 b^2
3b^2 over g^2
3g^2b^-2
3gb^-4
b^2 over 3g^2
Answers
1. Which is a minor arc in L? (1 point)
a. AB
b. DB
c. ABD
d. CBD
Answers
Arc DB measure less than 180 degrees, is called a minor arc.
Option (b) is correct
Major and minor arc:A minor arc is an arc whose angle is less than 180 degrees.
A major arc is an arc whose angle is greater than 180 degrees .A semicircle, is an arc whose angle is equals to 180 degrees . it divides the circle in two.From given figure, It is observed that, arc DB measure less than 180 degrees is called a minor arc.
Hence, option (b) is correct.
Learn more about the minor arc here:
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Will upvote if you explain on how I solve this problem?!?!
f(x) = 5(2)x
Answers
e.g if x = 2
f(2) = 5(2)(2)
2f = 20
f = 10?
"What is element a23 in matrix A
"
Answers
Answer: The answer is (A) -5.
Step-by-step explanation: We are given to find the element [tex]a_{23}[/tex] in the following matrix:
[tex]A=\begin{bmatrix}8 & -4 & -3\\ 3 & -9 & -5\\ -8 & 8 & 8\end{bmatrix}[/tex]
We know that [tex]a_{mn}[/tex] is an element of a matrix present in the m-th row and n-th column.
So, [tex]a_{23}[/tex] will be the element present in the second row and third column.
Since the element in the second row and third column is - 5, so we have
[tex]a_{23}=-5.[/tex]
Thus, (A) -5 is the correct option.
solve 9x + 7 = 7x - 5
Answers
9x - 9x + 7 = 7x -9x - 5
7 = -2x - 5
7 + 5 = -2x - 5 + 5
12 = -2x
12/-2 = -2x/-2
-6 = x
The solution of equation 9x + 7 = 7x - 5 is -6.
The equation 9x + 7 = 7x - 5 can be solved by first isolating x on one side. To do this, we subtract 7x from both sides of the equation, which gives us 2x + 7 = -5. Next, we subtract 7 from both sides to get 2x = -12. Finally, we divide both sides by 2 to find that x = -6. This single solution can be checked by substituting x back into the original equation to verify that both sides equal out, confirming it is an identity. Therefore, the correct solution is x=-6.
To validate the result, we substitute -6 back into the original equation:
9(-6) + 7 = 7(-6) - 5
-54 + 7 = -42 - 5
-47 = -47, which is indeed an identity.
Fractions that are equivalent to1/2
Answers
As long as the numerator (top number) is half of the denominator (bottom number), it is the same as 1/2
Which of the following is not equivalent to the other three?
A) 1/6
B) 1.66666666.....
C) .17
D) .16
Answers
3x + 2y = 5
5x + 2y = 7
Based on the given system of equations, which of the following is not true?
Answers
5x + 2y = 7
(eliminate the equation)
-2x = -2
x = 1 . . . .(put x in equation and you will get that y is also 1)
So the one that is not true is the one where x and y is not 1, like :
8x = 12
Hope this helps
Which of the following polynomials does not have real roots?
A. x2 - 17x - 7
B. -x4 + 4x2 + 6
C. x4 + 2x2 + 2
D. 2x2 - 13 ...?
Answers
proof
if a is a (real) is a root of x4 + 2x2 + 2, so
a4 +a2 +2 =0, it is impossible, because a4>0, a2>0 and 2>0
a4 +a2 +2 must be >0, so x4 + 2x2 + 2 doesnt have real roots
Answer:
C.
Step-by-step explanation:
x4 + 2x2 + 2 has no real roots
At a hockey game a vendor sold a combined total of 145 sodas, the number of hot dogs sold was 33 less of sodas sold, Find the number of Sodas and Hot dogs sold?
Answers
The number of sodas sold is 145, and the number of hot dogs sold is 112. (145 sodas, 112 hot dogs)
Let's denote:
- s as the number of sodas sold.
- h as the number of hot dogs sold.
Given that the total number of sodas sold is 145, we have:
[tex]\[ s = 145 \][/tex]
And we know that the number of hot dogs sold is 33 less than the number of sodas sold:
[tex]\[ h = s - 33 \][/tex]
Now, substitute the value of s into the equation for h :
[tex]\[ h = 145 - 33 \]\[ h = 112 \][/tex]
So, the number of hot dogs sold is 112, and the number of sodas sold is 145.
The graph of a line gets _____ as the absolute value of the slope gets bigger.
A. longer
B. shorter
C. steeper
D. less steep
Answers
The graph of a line gets steeper as the absolute value of the slope gets bigger.
Slope 0 indicates there is no change in y when the x value is changed and so the line with slope 0 is a horizontal line. A line with slope 1 shows with 1 unit change in x, y changes by 1 unit. Likewise slope equal 2 indicates with 1 unit change in x, y changes by 2 units.
We can see as the absolute value of slope is increasing, the change in y with respect to x is increasing i.e. the line is becoming more tilted or steep.
Hence, we can conclude that:
The graph of a line gets Steeper as the absolute value of the slope gets bigger.
C is the correct answer.
Estaban has a big jar of change in his room. he has 600 coins in total, 240 of them are pennies. what percentage of the coins are pennies
Answers
What is "the ratio of a line's rise over its run?"