Answer:
$1,489.88 (nearest cent)
Step-by-step explanation:
To calculate gross pay, multiply the number of hours worked by the pay per hour.
Warren worked 36.5 hours one week and 32 hours the week before.
Therefore, the total number of hours Warren worked was:
36.5 + 32 = 68.5 hoursMultiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:
68.5 × 21.75 = 1489.875Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).
Answer:
$1489.875
Step-by-step explanation:
Warren's gross pay for 36.5 hours last week can be calculated as follows:
Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875
Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:
Gross pay for 32 hours = $21.75/hour * 32 hours = $696
Adding the gross pay for the two weeks, we get:
Gross pay for 2 weeks = $793.875 + $696 = $1489.875
what are the ordered pairs of the solution for this system of equations f(x) = x^2 -2x+3 ; f(x) = -2x + 12
I NEED HELP ASAP Please and Thank You!
An exponential decay function that shows the relationship between y and t is y = 16,000 (0.74)^t.
What is an exponential decay function?An exponential decay function is one of the two types of exponential functions, including an exponential growth function.
Exponential functions are depicted as y = abˣ, where "a" is a constant, b is the base and x is the variable exponent.
The purchase value of a car = $16,000
Annual decreasing rate in value = 26%
Decayed value after 1 year = 0.74 (1 - 26%)
Let the number of years after the purchase = t
Let the resale value of the car after t years = y
Exponential Function:Resale value after t years, y = 16,000 x (1.074)^t
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What is the result of multiplying the first equation by −3
and adding to the second equation?
5x−2y=−2
3x+y=12
A. −10x+8y=15
B.−12x+7y=18
C. 12x+7y=18
D.8x−y=10
Answer:i got u mate
The answer is a _10×+8y=15
Step-by-step explanation:
Find the percent of the quantity.
150% of 56 =
Answer:
84
Step-by-step explanation:
What is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
To solve for 150% of 56, we can multiply 56 by 150%.
56 × 150% = 84Therefore, 150% of 56 is 84.
the data set shows the numbers of hours students study the week before the a test. find an interpert the mean absolute deviation of the data.
1, 2, 5,5,5,5,6,7,8,9.
The answer is 1.6!!!
How old are?
Which equation represents a proportional relationship?
A. y = 4x+1
B. y = 5x²
C. y=9
B. y = 5x² represents a proportional relationship.
In a proportional relationship, the ratio of the dependent variable (y) to the independent variable (x) is constant. In this equation, as x increases, y also increases by a constant factor (5 times x). This indicates that the two variables are proportional to each other.
In A. y = 4x + 1 and C. y = 9, there is no constant ratio between y and x, so they do not represent proportional relationships.
please help me on this
B. 5/12
B. 5/12
B. 5/12
B. 5/12
B. 5/12
B. 5/12
B. 5/12
Answer: B
Step-by-step explanation:
Here's how to subtract 3/12 from 4/6:
4/6−3/12
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 4 by 12, and get 48.
Then we multiply 3 by 6, and get 18.
Next we give both terms new denominators -- 6 × 12 = 72.
So now our fractions look like this:
48/72−18/72
Step 2
Since our denominators match, we can subtract the numerators.
48 − 18 = 30
So the answer is:
30/72
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
30/72÷ 2 =15/36
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
15/36÷ 3 =5/12
Let's try dividing by 3 again...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
No good. 7 is larger than 5. So we're done reducing.
There you have it! The final answer is:4.6−3/12=5/12
Given the parabola f(x)=-(x-8)^2+5, describe three transformations which would transform the graph of y=x^2 into the graph of f(x). Give both the transformations and the order.
The transformations and the order are a shift of 8 units left and 5 units up
How to determine the transformations and the order.From the question, we have the following parameters that can be used in our computation:
f(x) = (x - 8)^2 + 5
The parent function is given as
y = x^2
When these functions are compared, we have
y = x^2 is shifted right by 8 units and shifted up by 5 units to get f(x)
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17. The record low temperature in Missouri was −40°F, set February 13, 1905. The record high temperature of 118°F was set July 14, 1954, in the same city: Warsaw, Missouri. The Missouri mean temperature is 55°F. Determine whether the record high or the record low is closer to the mean temperature than the other record, and how much closer is it? Make sure you show your work to support your answer.
Answer:
The record high temperature of 118°F is 63°F higher than the mean temperature of 55°F. The record low temperature of -40°F is 95°F lower than the mean temperature of 55°F. The record high temperature of 118°F is closer to the mean temperature than the record low temperature of -40°F by 32°F.
Maurice has completed 48 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper? The required length of the paper is pages.
Answer:
We can use the proportion:
48 pages / x = 80% / 100%
where x is the required length of the paper in pages.
First, we can simplify the right-hand side of the equation:
80% / 100% = 0.8
Next, we can solve for x by cross-multiplying:
48 pages / 0.8 = x
x = 60 pages
Therefore, the required length of the paper is 60 pages
What is stoichiometry formula?
Stoichiometry formula is founded on the basis that law of conservation of mass where the total mass of the reactants = total mass of the products.
What is Stoichiometry?This is referred to as the relationship between the relative quantities of substances taking part in a reaction or forming a compound, typically a ratio of whole integers.
The stoichiometry of a balanced chemical equation identifies the maximum amount of product that can be obtained. The stoichiometry of a reaction describes the relative amounts of reactants and products in a balanced chemical equation.
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You have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy. Find the inequality that responds the number of copies you can make. Use c as the variable. What is the maximum number of copies you can afforded to make?
The required number maximum number of copies can be afforded c < 13.33.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy.
Here,
Let the number of copies be c,
According to the question,
0.30c < 4
c < 4/ 0.30
c < 13.33
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In ΔVWX, w = 680 inches, m∠X=15° and m∠V=116°. Find the length of W, to the nearest 10th of an inch
Answer:
W = 680 in
Step-by-step explanation:
You want the length of side w in ∆VWX, where w = 680 in, X = 15°, and V = 116°.
ReadingAs written, this seems to be a problem in reading comprehension. You are asked for one of the values that is given in the problem statement:
W = 680 inches
__
Additional comment
The attachment shows the solution of the triangle. In this, we have used ∆ABC ≅ ∆VWX.
Find the area of this rectangle please help!
I got 9 7/9 by using a calculator
If there are roughly 4500 bacterial in a culture, and the number of bacteria doubles each hour, the number N
of bacteria after t
hours can be found using the formula N=4500(2^t)
. About how long will it take the culture to grow to 80,000 bacteria?
To grow 80000 bacteria, it will take 4.152 hours.
What is exponential function?An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
Given,
Initial number of bacteria = 4500
Number of bacteria get doubled each hour
Function for population growth of bacteria is given by
N = 4500(2ˣ)
x is time in hours
Future population is N = 80000
Then
80000 = 4500(2ˣ)
800 = 45 . 2ˣ
taking log on both sides
log 800 = log (45 . 2ˣ)
log(mn) = log m + log n and log mⁿ = nlogm
log800 = log45+ x log2
2.9030 = 1.653 + x . 0.3010
x = (2.9030 - 1.653)/0.3010
x = 4.152
Hence, it will take 4.152 hours to grow 80000 bacteria.
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What is the median of the data set? 9, 3, 10, 12, 4, 5, 12, 2 enter your answer in the box.
The median of the given standard data set 9, 3, 10, 12, 4, 5, 12, 2 will be calculated approximately to 7. So , the median of the dataset is 7.
The median is a measure of central tendency that gives us an idea of where the "middle" of a data set lies. In other words, it gives us a value that separates the data set into two equal parts, with half of the values being above the median and the other half being below the median.
To find the median of a data set, the first step is to arrange the values in ascending or descending order. This makes it easier to identify the middle value(s) in the data set.
If the data set has an odd number of values, then there is a single middle value and that value is the median. For example, if we have the data set: 1, 2, 3, 4, 5, the median would be 3 because it is the middle value in the ordered set.
If the data set has an even number of values, then there are two middle values and the median is the average of those two values. For example, if we have the data set: 1, 2, 3, 4, 5, 6, the median would be the average of 3 and 4, which is (3 + 4) / 2 = 3.5.
So, in the case of the data set: 9, 3, 10, 12, 4, 5, 12, 2, we arrange the values in ascending order: 2, 3, 4, 5, 9, 10, 12, 12. Since there are 8 values, which is an even number, there are two middle values: 5 and 9. The median is the average of these two values, which is (5 + 9) / 2 = 7.
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PLEASSEEEEEE HELPPPPP ASAPPP IM SO SORRY BUT THIS IS THE LAST ONE FOR TODAY I THINKK
Solve for x and y
The value of x and y in the right triangle are as follows:
x = 15√3 units
y = 30 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles of a right angle triangle is 180 degrees.
The side x and y can be found using trigonometric ratios,
tan 60° = opposite / adjacent
tan 60° = x / 15
cross multiply
x = 15 tan 60°
x = 15 × √3
x = 15√3 units
Let's find y as follows:
cos 60° = adjacent / hypotenuse
cos 60° = 15 / y
cross multiply
y = 15 / cos 60
y = 15 ÷ 1 / 2
y = 15(2)
y = 30 units
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Suppose the account in #3 above paid interest quarterly instead of annually. Find the account balance after 5 years.
The account with compound interest of 7.2 % quarterly after 5 years is given by A = $ 1,428.75
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the amount after compound interest be represented as A
Now , the equation will be
The initial principal amount = $ 1000
The rate of interest r = 7.2 %
The number of times interest is applied n = 4 ( quarterly )
The number of years b = 5 years
A = P ( 1 + r/n )ⁿᵇ
Substituting the values in the equation , we get
A = 1000 ( 1 + 0.072/4 )⁴ˣ⁵
On simplifying the equation , we get
A = 1000 ( 1 + 0.018 )²⁰
On further simplification , we get
A = 1000 ( 1.018 )²⁰
A = $ 1,428.75
Hence , the amount after 5 years is $ 1,428.75
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answer the question. if you get it correct ill give it 5 stars and the brainiest.
(x^2 - 7x - 18)/(x + 2) = x - 9 can be simplified by multiplying both sides of the equation of x + 2. The new equation is x^2 - 7x - 18 = x^2 - 7x - 18. Therefore the equation's solution is all real numbers.
Is -9(k-5+2k-8) and -27k+117 equivalent expressions
-9(k-5+2k-8) and -27k+117 are equivalent expressions since the solution of -9(k-5+2k-8) = -27k+117.
What are equivalent expressions?Equivalent expressions are algebraic expressions that produce the same answer when being simplified. They are said to be a similar expression for whatsoever process used to solve the expression, either by substitution of values or applying mathematical property, they tend to produce equivalent expressions at the end. The equality sign is used between two algebraic expressions that are said to be equivalent.
Given that:
= -9(k-5+2k-8)
Open brackets
= -9k + 45 - 18k + 72
= -27k + 117
Therefore, we can say -9(k-5+2k-8) and -27k+117 equivalent expressions are equivalent expressions.
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Help ASAP WILL GIVE BRAINILEST
Answer:
My friend didn't factorise the x in 4xy out.
Step-by-step explanation:
15x-20xy= 5x(3-4y)
What is one tenth more than 13.7?
The value of the number one-tenth more than 13.7 is 13.8.
What is a decimal number?
In geometry, a polygon is a type of plane figure and is defined as a closed polygonal chain made up of a finite number of straight-line segments. A region that is enclosed by a bounding plane, a bounding circuit, or both are referred to as a polygon. The portions of a polygonal circuit are referred to as its edges or sides.
Given that numbers are one-tenth and 13.7.
More means add two numbers.
One-tenth = 1/10
The number one-tenth more than 13.7 is
1/10 + 13.7
= 0.1 + 13.7
= 13.8
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If 1/5+1/5=a/5 then a=
Answer: a = 2 because 1 + 1 = 2
Step-by-step explanation:
You borrow $200 from a relative for six months. You agree to pay compound interest at
the rate of 1% per month. How much interest will you pay your relative when you return the
money at the end of the six months?
a.
$201.00
c.
$12.30
b.
$11.66
d.
$210.00
Answer: D (210.00)
Step-by-step explanation:
According to the formula of compound INTEREST this is correct
solve for x 3x-6 x-2
Answer:
x=46
Step-by-step explanation:
this is how you set up the problem
3x-6+x-2=180
then you combine like terms
4x-6-6=180
then combine like terms again
4x-4=180
then you have to get 4 to the other side
4x-4=180
+4 +4
which leaves you with 4x=184
which you then divide both sides by 4
which leaves you with
x=46
I hope this helps you!!!
Answer:
x=46 =))))))))))))))))))))))))))))))))))(((()((((()()(
Below are the dimensions for a US postal office box that you are wrapping as a gift.
Explain how to find the surface area of this box. You may explain using words or numerically.
also there is a 12in 2in and 8in on it
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Surface area
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Area = length x breadth
To find the surface area of the postal box, we first find the area of each sides of the box and add them together.
Top and bottom area = L x B = 12 x 8 = 96inches² x 2 = 192inches²
Front and back areas = L x B = 12 x 2 = 24inches² x 2 = 48inches²
Area of the sides = L x B = 8 x 2 = 16inches² x 2 = 32inches²
Total surface area will be 192 + 48 + 32 = 272inches²
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What is the image point of (5,1) after translation right 5 units and down 2 units
The image point after the translation would be (10, - 1).
What is translation of image?The translation of image is the movement of image across the dimensional plane. It can be either horizontally {rightwards or leftwards) or vertically {upwards or downwards}.Given is the coordinate point of (5, 1).
We can write the translation rule as -
(x, y) → (x + 5, y - 2)
We can write the image point as -
(5, 1) → (5 + 5, 1 - 2)
(5, 1) → (10, - 1)
Therefore, the image point after the translation would be (10, - 1).
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The graph below belongs to which function family?
50
linear
O quadratic
cubic
4
32
+++
2+
1
-10-6-4-2₁
-2+
& A w
2 4 6 8 10 X
Answer:
Step-by-step explanation: n The graph is of an absolute value function. Step-by-step explanation: For x ≥ 0, the graph is given by. ⇒ x + 2y = 6. ⇒. ⇒ ........ (1).
Missing: 50 32 2₁
Hope that helps:)
You deposit $1000 in a savings account that earns 5% annual interest compounded yearly.
(a) Write an exponential equation to determine when the balance of the account will be $1500.
(b) Solve the equation.
The balance of the account will be 1500 in a period of 8.31 years.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
(a) The final amount in a compound interest is,
A = P(1 + [tex]\frac{r}{n}[/tex] )^ (nt), where,
A : Final amount
P : Principal amount
r : Rate of interest
t : Time in years
n : number of times compounded in a year
Given A = $1500, P = $1000, r = 0.05, n = 1
The equation is,
1500 = 1000 (1 + 0.05)^t
(b) 1500 = 1000 (1 + 0.05)^t
1500 / 1000 = (1.05)^t
1.5 = (1.05)^t
Taking logarithm on both sides,
㏒ (1.5) = t ㏒ (1.05) [since ㏒ (a)ᵇ = b ㏒ (a)]
t = ㏒ (1.5) / ㏒ (1.05)
t = 8.31 years
Hence the amount will be $1500 in 8.31 years.
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Hal sold a box of 30 books at a yard sale for a total of $62.16. He sold the paperback books for $1.78 each and sold the hardcover books for $2.51 each.
Which system of equations can be used to determine the number of $1.78 paperback books, x, and the number of $2.51 hardcover books, y, that were
sold at the yard sale?
Answer:
Step-by-step explanation:
Let x be the number of $1.78 paperback books and y be the number of $2.51 hardcover books that were sold. The total number of books is x + y = 30 and the total amount of money earned is $62.16. The cost of the paperback books is x * $1.78 and the cost of the hardcover books is y * $2.51.
So, we have the following system of equations:
x + y = 30 (the total number of books is 30)
x * $1.78 + y * $2.51 = $62.16 (the total amount of money earned is $62.16)
This system of equations can be used to determine the number of $1.78 paperback books and the number of $2.51 hardcover books that were sold at the yard sale.