Joey earns 450$ for working 36 hours . Will earns 260$ for working 13hours. who has the better rate of pay ?
Answer:
Will does.
Step-by-step explanation:
Will earns $260 for working 13 hrs. multiply that by 2. 260 x 2 is 520. 13 x 2 is 26. Will earns $520 for working 26 hours. Joey earns $450 for working 36 hours. Will has a better rate of pay because he earns more than joey does, and he earns more while working less hours than joey. joey earns less money than will and he also works more hours.
Devon earns $35 per hour for a regular 40-hour work week. Sometimes, he works over 40 hours a week and earns "double time" for the extra hours worked. (That means that his hourly rate for the additional hours over 40 hours per week is double his normal hourly rate.)
Answer:
Earnings = $1960
Step-by-step explanation:
The question is incomplete; however the missing part of the question asks his total earnings if he worked for 48 hours in a week
First, we need to determine the extra hour worked
Regular Hour = 40
Extra Hour = 48 - 40
Extra Hour = 8
Total Earnings is then calculated as follows:
Earnings = Regular Hours * Regular Charges + Extra Hours * Extra Charges
Earnings = 40 * 35 + 8 * Extra Charges
Since extra charges is twice regular charges, we have:
Earnings = 40 * 35 + 8 * 35 * 2
Earnings = 1400 + 560
Earnings = $1960
Astronauts increased in height by an average of approximately 40mm (about an inch and a half) during the Apollo Soyuz missions, due to the absence of gravity compressing their spines during their time in space. Does something similar happen here on Earth? An experiment supported by NASA measured the heights of six men immediately before going to bed, and then again after three days of bed rest. On average, they increased in height by 14mm, with standard deviation 0.66mm. Find the 95% confidence interval for the change in height after three days of bed rest.
The confidence interval for the change in height after three days of bed rest is approximately (13.308, 14.692) mm.
So we can be 95% confident that the true change in height after three days of bed rest falls within this interval.
How to find the cofidence interval?
To find the 95% confidence interval for the change in height after three days of bed rest, we can use the formula for a confidence interval for the mean difference in paired data:
CI = x ± t * (s / √n)
Where the variables are:
x is the sample mean difference (average change in height),t is the critical value from the t-distribution for the desired confidence level (95% confidence corresponds to a t-value with 5 degrees of freedom, which is approximately 2.571),s is the sample standard deviation of the differences (given as 0.66mm),n is the sample size (given as 6).Let's calculate the confidence interval:
x = 14mm (average change in height)t = 2.571 (critical value for 95% confidence level with 5 degrees of freedom)s = 0.66mm (sample standard deviation of the differences)n = 6 (sample size)CI = 14 ± 2.571 * (0.66 / √6)
Calculating the value inside the parentheses:
0.66 / √6 ≈ 0.2691
Calculating the confidence interval:
CI = 14 ± 2.571 * 0.2691
CI = 14 ± 0.692
That is the confidence interval.
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Division bracket with 12 on the left, 5496 inside, and 458 above it. Underneath the 5496, there is a minus 4800. Then there is a solid line with 696 under the line. There is a minus sign, and an empty box followed by a solid line. Beneath the line, there is a 96 minus 96 underneath. There is a solid line and a 0 to end the problem.
Answer:
600
Step-by-step explanation:
458
_______
12[ 5496
- 4800
______
696
- 600
_________
96
- 96
_________
0
so 600 is the answer :D
hope it helps...
Answer:
hi! the answer would be 600. i did this test and got it right.
Step-by-step explanation:
can someone explain to me 4(7q+3)
Answer:
Sure can.
Step-by-step explanation:
1. Multiply 4*7q=28q
2. Multiply 4*3=12
Answer:28q+12
they are not like terms so it cannot be simplified further.
Step-by-step explanation:
4(7q+3)
multiply through by 4
4×7q = 28q
4×3 = 12
= 28q + 12
How many identical cubes each with edges of 3 in can fit in a box measuring 15 inches by 9 inches
In a box measuring 15 inches by 9 inches, you can fit 10 identical cubes with edges of 3 inches.
Each cube with edges of 3 inches occupies a volume of 3 x 3 x 3 = 27 cubic inches. To determine how many cubes can fit in the box, we divide the volume of the box by the volume of each cube. The volume of the box is 15 x 9 = 135 cubic inches. Dividing 135 by 27 gives us 5, which means 5 cubes can fit in each row.
Since the box has a length of 15 inches, which is divisible by 3 (the length of each cube's edge), we can fit 5 rows of cubes. Therefore, the total number of cubes that can fit in the box is 5 rows x 5 cubes per row = 25 cubes.
In summary, you can fit 25 identical cubes with edges of 3 inches in a box measuring 15 inches by 9 inches. By dividing the volume of the box by the volume of each cube, we found that 5 cubes can fit in each row, and there are 5 rows in total.
The evenly divisible dimensions of the box allow for an efficient arrangement of the cubes, resulting in a total of 25 cubes being able to fit inside.
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What is 140% of 68 grams?
Answer:
140/100 × 68
14/10 × 68
14/5 × 34
476/5
=95.2frankie has $4.35 in dimes and quarters. the number of dimes is five more than the number of quarters. how many of each coin does she have?
That Frankie has 11 quarters (x) and 16 dimes (x + 5).
Let x be the number of quarters, then x + 5 is the number of dimes.
The sum of the value of dimes and quarters is $4.35.
This information can be used to create an equation that can be solved for the number of dimes and quarters.
Let's solve for this.
Frankie has x quarters, which have a value of 0.25x, and x + 5 dimes, which have a value of 0.10(x + 5).
Since the sum of the value of dimes and quarters is $4.35, we can create the following equation:
0.25x + 0.10(x + 5) = 4.35
Simplify by distributing the 0.10 term:
0.25x + 0.10x + 0.50 = 4.35
Combine like terms:
0.35x + 0.50 = 4.35
Subtract 0.50 from both sides:
0.35x = 3.85
Divide both sides by 0.35:
x = 11
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I’ll give brainliest! Please explain in your words why you think 180 degrees and n-2 are in the Polygon Angle- Sum Formula, 180 degrees (n-2) ?!
Answer:
If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle. Do you see where the "n – 2" comes from? It gives us the number of triangles in the polygon.
Have a nice day :)
in the diagram below AB CD. If <7 = 52 °, then what is the measure of <4
Calculate the bearing of Y from X.
N
X
106°
Not drawn accurately
anyone know the answer?
Answer:
95 degrees
Step-by-step explanation:
One and 4 are vertical, meaning they are congruent
4 and 8 are corresponding meaning they are congruent
8 & 7 are supplementary meaning they add up to 180 degrees
Hope this helps :-)
Write the prime factorization of using exponents.
The prime factorization of 5184 is ______________
Answer: 26∗34 2 6 ∗ 3 4
Step-by-step explanation:
0.3x+5.14=2.1x – 4.4
Answer:
x = 5.3
Step-by-step explanation:
ehhh, i'm jus helping,
you're welcome :)
Answer:
53
To find:
x
Step-by-step explanation:
0.3x+5.14=2.1x – 4.4
0.3x-2.1x=-4.4-5.14
-1.8x=-9.54
x=-9.54/-1.8
To remove the decimal point, multiply with 100 on both numerator and denominator as their are two digits after the decimal point
x=-9.54 × 100/-1.8 × 100
therefore you will get,
x=-954/-180
cut the negative sign from both numerator and denominator
x=954/180
x=53
hope it helps you!!
1. Walmart’s stock price started at $70. It went up by $2, then went down $4. What is the final stock price?
Answer:
64
Step-by-step explanation:
its 70-2-4 = 64
70-2
=68 -4
=64
On January 2,2023 , Cullumber Corp. issued a $84,000, four-year note at prime plus 1% variable interest, with interest payable semiannually. On the same date, Cullumber entered into an interest rate swap where it agreed to pay 4% fixed and receive prime plus 1% for the first six months on $84,000. At each six-month period, the variable rate will be reset. The prime interest rate is 3.4% on January 2,2023 , and is reset to 4.5% on June 30,2023 . On December 31,2023 , the fair value of the swap has increased by $25,000. Cullumber follows ASPE and uses hedge accounting. Assume that the swap qualifies for hedge accounting under ASPE. (b) Calculate the net interest expense to be reported for this note and the related swap transaction as at June 30 and December 31 , 2023.
The net interest expense for June 30, 2023, is $210. The net interest expense for December 31, 2023, is $252.
The payment is equal to the face value of the note ($84,000) multiplied by the fixed rate (4%) multiplied by the fraction of the year for which the payment is being made (6/12).
Fixed rate payment = $84,000 × 4% × 6/12 = $1,680.
Similarly, calculation of the variable rate payment for six months: The payment is equal to the face value of the note ($84,000) multiplied by the variable rate (4.5% as of June 30, 2023) multiplied by the fraction of the year for which the payment is being made (6/12).
Variable rate payment = $84,000 × 4.5% × 6/12 = $1,890.
The net payment made by Cullumber on June 30, 2023, is equal to the variable rate payment minus the fixed rate payment.
Net payment = $1,890 - $1,680 = $210.
Calculation of the fixed rate payment for six months: The payment is equal to the face value of the note ($84,000) multiplied by the fixed rate (4%) multiplied by the fraction of the year for which the payment is being made (6/12).
Fixed rate payment = $84,000 × 4% × 6/12 = $1,680.
Similarly, calculation of the variable rate payment for six months: The payment is equal to the face value of the note ($84,000) multiplied by the variable rate (3.4% as of December 31, 2023) multiplied by the fraction of the year for which the payment is being made (6/12).
Variable rate payment = $84,000 × 3.4% × 6/12 = $1,428.
The net payment made by Cullumber on December 31, 2023, is equal to the fixed rate payment minus the variable rate payment.
Net payment = $1,680 - $1,428 = $252.
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how many are 16 x 16 ?
Answer:
256
Step-by-step explanation:
16 ×16= 256
Hope it works out for you
Write the expression using a single exponent. (-3)^9 (-3)^4
Answer:
(-3)^13
Step-by-step explanation:
(-3) is a constant value so there is no change
You must add 4 and 9 together to create one exponent of 13
find the value of x
Answer:
48°
Step-by-step explanation:
x + 3x-12 = 180
4x-12 = 180
4x=192
x=48°
Manders Manufacturing Corporation uses the following model to determine an optimal product mix for its two products, metal (M) and scrap metal (S):
Max Z = $30M + $70S
Where: 3M + 2S ≤ 15
2M + 4S ≤ 18
The above mathematical functions together constitute a(n):
a. Simulation model.
b. Linear programming model.
c. Economic order quantity model.
d. Multivariate regression model.
e. Nonlinear optimization model.
b. Linear programming model is the correct option.
How can Manders Manufacturing Corporation determine an optimal product mix for metal and scrap metal using a mathematical model?A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.
The constraints are represented by the inequalities:
3M + 2S ≤ 15
2M + 4S ≤ 18
These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.
Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.
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3х
(2x + 16)
Solve for x
Answer:
16
Step-by-step explanation:
Step 1:
3x = 2x + 16 Equation
Step 2:
3x - 2x = 16 Subtract 2x on both sides
Answer:
x = 16
Hope This Helps :)
Question 2 (1 point)
Write an equation of a parabola in vertex form that passes through (8,
25) and has vertex (5,-2).
(Use the ^ symbol to show an exponent. Example: x2 = x^2)
Blank 1:
Answer:
y = 3(x - 5)^2 - 2Step-by-step explanation:
y = a(x-h)^2+k ← vertex form of parabola equation with vertex (h, k)
So:
y = a(x-5)^2 + (-2) ← vertex form of our parabola equation
Parabola goes through (8, 25) so if x=8 then y=25
25 = a(8-5)^2 - 2
25 +2 = a(3)^2 - 2 +2
27 = 9a
a = 3
That means, the equation of a parabola in vertex form that passes through (8, 25) and has vertex (5, -2):
y = 3(x - 5)^2 - 2
How do you solve this?
Answer:
b. [tex]\sqrt[3]{4x+2}[/tex]
Step-by-step explanation:
f(x) = ( x^3-2) /4
y = ( x^3-2) /4
Exchange x and y
x = ( y^3-2) /4
solve for y
Multiply each side by 4
4x = 4( y^3-2) /4
4x = y^3 -2
Add 2 to each side
4x+2 = y^3
Take the cubed root of each side
( 4x+2) ^ (1/3) = y^3 ^(1/3)
( 4x+2) ^ (1/3) =y
The length of a rectangular garden is 7 feet more than 5 times the width. If the
perimeter of the garden is 272 feet, what are its dimensions? Round to the nearest
tenth, if necessary.
Answer:
The dimensions of the garden is 21.5 ft by 114.5 ft
Step-by-step explanation:
Here, we want to find the dimensions of a rectangular garden.
From the question, we are told that the length is 7 feet more than 5 times the width.
Let the length be l and the width be w;
Thus, mathematically;
l - 7 = 5w
l = 5w + 7
Mathematically;
Perimeter of rectangle = 2(l + w)
Hence;
2(l + w) = 272
divide both sides by 2
l + w = 136
but l = 7 + 5w
7 + 5w + w = 136
7 + 6w = 136
6w = 136-7
6w = 129
w = 129/6
w = 21.5 ft
But,
l = 5w + 7
l = 5(21.5) + 7
l = 114.5 ft
If the equation y = 3x - 1 were graphed on the xy-coordinate plane, which of the following
would NOT be a point on that graph?
A.(-2,-7)
B.(2,5)
C.(-1,-3)
D.(0,-1)
Answer:
C
Step-by-step explanation:
If you substitute the x-value of every coordinate into the equation, C is the only one that doesn't have the right y-value
Answer:-1,-3
Step-by-step explanation:
PLS HELP.!!!!!!!!!!!
Answer:
35040
Step-by-step explanation:
3.48(104)+0.24(103)
=35040
Answer:
umm here 35,040
Step-by-step explanation:
The volume of the Venus is approximately 9.4 x 10^11 km^3. The volume mars is approximately 1.6 x 10^11.
Part A: about how many times as great as the volume of mars is the volume of Venus? Round to the nearest tenth.
Part B: the volume of earth is approximately 0.69 x 10^-1 times larger than the volume of mars. What is the approximate volume of earth?
Answer:
Step-by-step explanation:
Given
volume of the Venus = 9.4 x 10^11 km^3
The volume mars is approximately = 1.6 x 10^11km³
A) In order to know how many times as great as the volume of mars is the volume of Venus, we take the ratio of volume of Venus to volume of mars.
Ratio = volume of Venus/volume of mars
Ratio = 9.4 x 10^11 km³/1.6 x 10^11km³
Ratio = 9.4/1.6
Ratio = 5.875
Ratio = 5.9(to the nearest tenth)
Hence the volume of venus is approximately 5.9 great as volume of mars.
B) If volume of earth is approximately 0.69 x 10^-1 times larger than the volume of mars, then the amount by which earth is greater than mars is expressed as:
0.69 x 10^-1 × volume of mars
= 0.69 x 10^-1 × 1.6 x 10^11.
= 1.104×10^{-1+11}
= 1.104×10^10
Volume of earth will be 1.104×10^10+1.6 x 10^11.
Volume of earth = 0.1104×10^11+1.6 x 10^11.
Volume of earth = 1.7104×10¹¹ km³
Hence the approximate volume of earth is 1.7104×10¹¹km³
The volume of Mars is 5.875 times greater than the Volume of earth.
Volume is a quantity expressing the amount of three-dimensional space enclosed by a closed surface. It shows how much space there is within a three-dimensional object.
Part A:
Comparison of Venus to Mars = 9.4 x 10^11 km³ / 1.6 x 10^11 km³ = 5.875Part B:
Volume of earth = 1.6 x 10^11 + (1.6 x 10^11 * 0.69 x 10^-1) = 1.7104 * 10¹¹ km³The volume of Mars is 5.875 times greater than the Volume of earth.
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Stephanie owned a very large painting that she inherited from her grandfather after he passed. Her grandfather advised her that the painting was very valuable because it was painted by Van Gogh. Stephanie had the painting examined by an art expert who advised that it looked like Van Gogh painted the painting, but it was actually his student. If Van Gogh actually painted the painting it would have been worth $100,000.00. Stephanie decided to sell the painting and sold it to Charlie for $15,000.00. Charlie had a hunch that the expert was wrong and that it was actually Van Gogh. Six months after the sale, a scholar identified and proved that it was a Van Gogh.
Assume that the Court determined that there was a unilateral mistake. Could Stephanie rescind the contract?
a. Yes, because all unilateral contracts can be rescinded.
b. Yes, because there was not a "meeting of the minds."
c. No, because consideration was exchanged.
d. No, because Stephanie made the mistake, and it was not a bilateral mistake.
Stephanie would not be able to rescind the contract because she made a unilateral mistake, and it was not a bilateral mistake.
In contract law, a unilateral mistake occurs when one party to a contract is mistaken about a material fact related to the agreement. However, the general rule is that unilateral mistakes do not provide grounds for rescission of a contract. The reason for this is that contract law places a higher emphasis on the principle of enforceability and preventing one party from unilaterally avoiding their obligations based on their own mistake.
In this case, Stephanie's mistaken belief that the painting was directly painted by Van Gogh, rather than his student, constitutes a unilateral mistake. It is important to note that the art expert's opinion, though incorrect, did not induce Stephanie's mistake or misrepresent the nature of the painting. Stephanie made the decision to sell the painting to Charlie based on her own belief and understanding of its value.
Option d is the correct choice: No, because Stephanie made the mistake, and it was not a bilateral mistake. Stephanie's mistake was unilateral, meaning it was her own error in judgment. A bilateral mistake, on the other hand, occurs when both parties to a contract share a common misunderstanding or mistake about a material fact. In such cases, the contract may be voidable by either party since there was no true "meeting of the minds."
Moreover, the exchange of consideration further strengthens Charlie's position as a bona fide purchaser. Charlie purchased the painting for $15,000.00, and consideration is a fundamental element in the formation of a contract. Once consideration is exchanged, it signifies that the parties have entered into a binding agreement, and it may limit the grounds for rescission.
In conclusion, based on the unilateral nature of Stephanie's mistake and the presence of consideration, Stephanie would not be able to rescind the contract. Therefore, option d is the correct choice.
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Here is a table of values for y = f(x).
X
-5 -3 0 2 6 7 9
0 2 6 7 9 10 13
301 230
2
Mark the statements that are true.
1
A. The range for f(x) is all real numbers.
B. The domain for f(x) is the set (-5, -3, 0, 2, 6, 7, 9, 10, 13).
what are the zeros of the function graph the function. y=x(x 2)(x 5)
the zeros of the function are x = 0, x = -5.
The given function is y = x(x²)(x + 5).
To find the zeros of this function, we need to set y equal to zero and solve for x.
So, y = 0x(x²)(x + 5) ⇒ 0 = x(x²)(x + 5)
We can see that the left side is zero. So, either x or (x²)(x + 5) is zero.
Thus, the zeros of the function are: x = 0, x² = 0
⇒ x = 0, x + 5 = 0
⇒ x = -5
Therefore, the zeros of the function are x = 0, x = -5.
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