Answer:
Step-by-step explanation: Yes, that is correct. The solution to the system of equations is (x, y) = (-7, 0), which is not in the given options, so none of the options are the correct answer.
10. How much would you need to deposit in an account now in order to have $20,000 in the account in 4 years? Assume the account earns 5% interest.
Answer:
20000*4*5/100=4000
Step-by-step explanation:
Hope this helps!
What is your monthly take-home pay if your take-home pay is calculated as 20 hours per week at $11.66 per hour with 27% deducted for taxes and insurance?
Round intermediate calculations and the final answer to the nearest cent; use 365 days in a year.
Your monthly take-home pay is $
The monthly take-home pay is ¢ 68094. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The term "arithmetic operations" refers to four basic mathematical operations that can be used to express any real number. Addition, subtraction, multiplication, and division are the four operations.
We are given that take-home pay is calculated as 20 hours per week at $11.66 per hour with 27% deducted for taxes and insurance.
Considering 365 days in a year, there are 52 weeks in year and 4 weeks in a month.
In a week there are 20 hours
So, in 4 weeks, there will be 80 hours
Take - home pay before deductions = 80 * $11.66 = $932.8
Take - home pay after deductions = $932.8 - 27% of $932.8 = $680.94
This is equal to ¢ 68094.
Hence, the monthly take-home pay is ¢ 68094.
Learn more about arithmetic operations from the given link
https://brainly.com/question/30283549
#SPJ1
Find the area of the figure pictured below.
The area of the composite figure is 41 ft square.
How to find the area of a figure?The figure is a composite figure. A composite figure is a figure that has two or more shapes.
Therefore, the area of the composite figure is the sum of the individual area of the shapes.
Therefore,
area of the figure = area of rectangle 1 + area of rectangle 2
area of rectangle 1 = lw
where
l = lengthw = widthTherefore,
area of rectangle 1 = 2 × 4 = 8 ft²
area of rectangle 2 = 11 × 3 = 33 ft²
Hence,
area of the figure = = 8 + 33
area of the figure = 41 ft²
learn more on area here: https://brainly.com/question/23718948
#SPJ1
sandy ran for 22 minutes. Gary ran 7 minutes longer than sandy did. Herbert ran 12 minutes less than Gary. who ran the longest
Answer:
So Gary ran the longest
Step-by-step explanation:
Gary ran for 22 minutes + 7 minutes = 29 minutes.
Herbert ran for 29 minutes - 12 minutes = 17 minutes.
So Gary ran the longest, followed by Sandy and then Herbert.
What is b in this? Y=-1/3+b
Or how do i graph it?
NEED ASAP
The equation of line passing through the points (-2, 4) & (4, 2) is :
y = -1/3 x + 6
The value of b = 6
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
To find the equation of the line passing through the two points (-2, 4) and (4, 2), we can use the point-slope form of a line. The point-slope form of a line is given by:
y - y₁ = m(x - x₁)
where m is the slope of the line and (x₁, y₁) is any point on the line.
To find the slope of the line, we can use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the two given points.
Plugging in the values for the given points, we get:
m = (2 - 4) / (4 - (-2))
m = -2 / 6
m = -1/3
Next, we can use one of the given points to write the equation in point-slope form:
y - 4 = -1/3 (x - (-2))
y - 4 = -1/3 x + 2
y = -1/3 x + 6
This is the equation of the line passing through the two given points (-2, 4) and (4, 2).
To know more about Line check:
https://brainly.com/question/17188072
#SPJ1
Hual takes out a $3200 student loan at 6.4% to help him with 2 years of community college. After finishing the 2 years, he transfers to a state university and
borrows another $12,400 to defray expenses for the 5 semesters he needs to graduate. He graduates 4 years and 4 months after acquiring the first loan and
payments are deferred for 3 months after graduation. The second loan was acquired 2 years after the first and had an interest rate of 7.6%. Find the total
amount of interest that will accrue until payments begin.
(a) Find the total amount of interest that will accrue for loan 1 (community college).
The total amount of interest that will accrue for loan 1 (community college) is $_____ Round your answer to two decimal
places, if necessary.
Part 2 of 3
A ALEKS-Erika Ramirez - Test 2-Chapter 7
(b) Find the total amount of interest that will accrue for loan 2 (state university).
The total amount of interest that will accrue for loan 2 (state university) is $____
Answer:
a) $4096 b) $1884,8 ■■ im not 100% sure
Step-by-step explanation:
a) 3200×0.064×2=$4096 in intrest
b) 12,400×0.076×2=$1884,8 in intrest
Please help me with this question
Answer:
= 7022cm
Step-by-step explanation:
The Perimeter of a rectangle =
[tex] = 2(l) + 2(w)[/tex]
From the question
L= 15.47m
w= 19.64m
therefore perimeter of a rectangle
=
[tex] = 2(15.47) + 2(19.64) \\ = 30.94 + 39.28 \\ = 70.22 m[/tex]
Also since rectangle are in centimetres
than if. 1 m = 100cm
than 70.22m = ?
therefore 70.22/1 = 100cm
=7022cm
therefore the Perimeter of a rectangle = 7022
whats the missing of the angle 104, 30?
Answer:46
Step-by-step explanation:
180=104+30+x
134+x=180
x=46
Algebra: let f(x)= 3x+7 f^-1 (x)=
Answer:
Step-by-step explanation:
To find the inverse of a function, we need to switch the x and y values and solve for y (or x, depending on how the original function is written). The inverse of the function f(x) = 3x + 7 is written as f^-1(x). To find f^-1(x), we can follow these steps:
Replace the function f(x) with y to make it easier to manipulate: y = 3x + 7.
Swap the x and y variables: x = 3y + 7.
Solve for y:
Subtract 7 from both sides to get x - 7 = 3y.
Divide both sides by 3 to get (x - 7) / 3 = y.
Write the inverse function using f^-1(x) instead of y:
f^-1(x) = (x - 7) / 3
So, the inverse of the function f(x) = 3x + 7 is f^-1(x) = (x - 7) / 3.
If your car gets 24 miles per gallon, how much does it cost to drive 450 miles when gasoline costs $2.70 per gallon?
Answer:
Cost $50.63
Step-by-step explanation:
To calculate the cost, we need to find out how many gallons of gasoline the car will consume in 450 miles. We can use the formula:
Gallons = Total miles / Miles per gallon
Gallons = 450 miles / 24 miles per gallon
Gallons = 18.75
Next, we multiply the number of gallons by the cost per gallon to get the total cost:
Total cost = Gallons * Cost per gallon
Total cost = 18.75 gallons * $2.70 per gallon
Total cost = $50.63
So, it will cost $50.63 to drive 450 miles when gasoline costs $2.70 per gallon and your car gets 24 miles per gallon.
In a running race, you covered 3000 m. The ratio of distance covered by walking to running is 2:13. How many meters did you walk?
Answer:
400 m walking
Step-by-step explanation:
sum the parts of the ratio , 2 + 13 = 15 parts
divide the distance covered by 15 to find the value of one part of the ratio.
3000 m ÷ 15 = 200 m
then
2 parts = 2 × 200m 400 m
400 m covered by walking
A 10-ft board is cut into 2 pieces so that one piece is 6 ft longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces
The length of the both pieces are 1ft and 9ft respectively. Option C
How to determine the lengthsWe have from the information given that;
The shorter side = xThe longer side = 6 + 3xThe total length = 10ftNow, substitute the values, we get
x + 6 + 3x =10
Collect the like terms
x + 3x = 10 -6
Add the like terms
4x = 10 - 6
Substract the like terms
4x = 4
Make 'x' the subject of formula by dividing both sides by 4, we get;
x = 4/4
divide the values
x = 1
Thus, the values are 1ft and 9ft
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
what’s the equation of the line graphed below i’ll give you brainlist pls help
y=3/2x+4
y=2/3x+4
y=2/3x-6
y=3/2x-6
Answer:
y = 2/3x + 4
Step-by-step explanation:
y-intercept (b) is 4
Use points (-6, 0) and (0, 4) to find the slope (m) = (4-0)/(0--6) = 4/6 = 2/3
y = mx + b = 2/3x + 4
3. Mrs. Doyle asks Lowell to create a verbal
representation for the equation y = x - 25. Did
Lowell complete the task correctly? Justify
your answer.
A $25 charge is added for
rush delivery
Lowell's verbal representation of the equation y = x - 25 is "y is equal to x minus 25".
This verbal representation accurately describes the equation. In the equation, y is the dependent variable and x is the independent variable. The equation says that y is equal to x minus 25, which means that for every value of x, there is a corresponding value of y that is x minus 25.
So, Lowell has completed the task correctly.
Examine the triangle below, solve for t, round to the nearest whole number.
T
37
46°
A
84°
t
D
In the triangle, the nearest whole number of the side t is 28.
What is the sine rule of a triangle?The sine rule states that the ratios of the sides to their corresponding opposite angles are equal to a particular value. This value gives the circumradius of that triangle.
The sum of three angles in a triangle is 180°.
Find the angle ∠T for ∠A=46° and ∠D=84°.
∠A+∠D+∠T=180°
46°+84°+∠T=180°
130°+∠T=180°
∠T=50°
The sine rule for triangle ABC is [tex]\[\frac{a}{{\sin A }} = \frac{{37}}{{\sin B }} = \frac{c}{{\sin C }} = 2R\][/tex], where R is the circumradius and a, b, and c are the opposite sides of the angles ∠A, ∠B, and ∠C, respectively.
On applying the sine rule to triangle ADT, the result becomes [tex]\[\frac{a}{{\sin 46^\circ }} = \frac{{37}}{{\sin 84^\circ }} = \frac{t}{{\sin 50^\circ }} = 2R\][/tex].
Take the equation [tex]\frac{{37}}{{\sin 84^\circ }} = \frac{t}{{\sin 50^\circ }}[/tex] and find t.
[tex]\[\begin{array}{l}t = \frac{{37\sin 50^\circ }}{{\sin 84^\circ }}\\ \approx 28.4997\\ \approx 28\end{array}\][/tex]
Therefore, the nearest round whole number of t is 28.
To learn more about the sine rule click below :
https://brainly.com/question/30339239
#SPJ1
You have a job with a gross pay of $49946.
to answer the following questions based on the 2021 federal income tax brackets:
a. What is your tax bracket?
%
b. How much do you owe for federal taxes on:
filled tax brackets?
$
the partially filled tax bracket?
$
Based on the 2021 federal income tax brackets, the gross pay of $49,946 puts you in the 22% tax bracket. For the fully filled tax bracket, you would owe $10,890.50 in federal taxes, and for the partially filled tax bracket, you would owe $4,994.60 in federal taxes.
The average rate of change of a function
f(x) = x2
between
x = 4
and
x = 6
is
average rate of change =
`
6 − 4
=
On solving the provided question we can say that The average rate of change between x₁ and x₂ and a function f(x), is 10.
What is function?The subject of mathematics includes quantities and their variatiοns, equations and related structures, shapes and their locations, and places where they can be fοund. The term "functiοn" refers to the relationship between a set of inputs, each of which has an assοciated output.
A connectiοn between inputs and οutputs in which each input leads tο a single, distinct result is known as a function. Each functiοn is given a domain and a codοmain, or scope. Usually, f is used to denοte functions (x). input is an x. There are fοur main types of functiοns accessible. based οn the following factors: on functiοns, one-to-one functiοns, many-to-one functions, inside functiοns, and on functions.
The average rate of change between x=x and a function f(x)
F(x₂) - F(x₁)/(x₂) - x₁
so,
f(x) = x²
average rate = f(6) - f(4) / 6-4 = 36-16 / 2 = 20/2 = 10
To know more about function visit:
brainly.com/question/28193995
#SPJ1
I’m stuck on this one question help
Answer:
E is a major arc
C is a minor sector
A is a major segment
Major segment is the portion (or part) of the circular region enclosed between a chord and the corresponding major arc.
Major arc is the longer arc connecting two endpoints on a circle.
A sector with a central angle less than 180° is called a minor sector.
johns orchard yielded a harvest of 460 apples and 340 oranges .He managed to sell 20%of the apples and 30%of the oranges. Which fruit notched up a better sale?
Answer:
oranges
Step-by-step explanation:
20% of 460 = 92
30% of 340 = 102
please, help with this one
r log a + y log c
The required r log a + y log c is equivalent to the expression as [tex]r log a + y log c = log (a^r c^y)[/tex].
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The expression r log a + y log c can be simplified using logarithmic properties. Specifically, we can use the rule that says:
[tex]log a^b = blog a[/tex]
Using this rule, we can write the expression as:
[tex]r log a + y log c = log a^r + log c^y[/tex]
Now we can use the rule that says:
log a + log b = log ab
to combine the two logarithms:
[tex]log a^r + log c^y = log (a^r c^y)[/tex]
Therefore, the expression r log a + y log c simplifies to:
[tex]r log a + y log c = log (a^r c^y)[/tex]
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
first combine like terms in 3/4a + 8 - 1/4a - 2
1/2a+6 is the simplified form of the expression 3/4a + 8 - 1/4a - 2
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3/4a + 8 - 1/4a - 2
Three by four times of a plus eight minus one by four times of a minus 2.
In the given expression a is a variable and plus and minus signs are the operators.
3/4a + 8 - 1/4a - 2
3/4a and - 1/4a are the like terms
Add the like terms
3/4a - 1/4a +8 - 2
2/4 a +6
1/2a+6
Hence, 1/2a+6 is the simplified form of the expression 3/4a + 8 - 1/4a - 2
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ9
Find the sum of the infinite geometric series, if possible. (Round your answer to three decimal places.)
∞
Σ
n = 0 6(0.75)n
STEP 1: Determine the first term of the infinite geometric series.
a1 =
24
STEP 2: Find the common ratio of the infinite geometric series.
r =
STEP 3: Based on your results from Step 1 and Step 2, the Sum of an Infinite Geometric Series Formula may be applied to this series. What guarantees the formula will work in this case?
The common ratio has an absolute value less than 1.
The first term of the series has an absolute value less than 1.
The common ratio has an absolute value less than the first term of the series.
The common ratio is less than the first term of the series.
The common ratio is less than one.
The first term of the series has an absolute value greater than the common ratio.
The first term of the series is positive.
STEP 4: Compute the sum of the series using the Sum of an Infinite Geometric Series Formula. Round your answer to three decimal places.
Sn =
STEP 1: a1 = 6.
STEP 2: r = 0.75
STEP 3: The common ratio is less than one.
STEP 4: The sum of the Sum of the Infinite Geometric series is Sn = 24
How to find the sum of the infinite geometric series?Since we have the expression for the sum of the infinite geometric series
[tex]\[ \sum_{n=0}^{\infty} 6(0.75)^{n} \][/tex]
STEP 1:
The first term of the infinite geometric series is 6. Thus, a1 = 6.
STEP 2:
The common ratio of the infinite geometric series is 0.75. Thus, r = 0.75
STEP 3:
The common ratio is less than one.
Because Sn = a/(1 - r) is the formula we use when the common ratio is less than 1.
STEP 4:
Sn = a/(1 - r)
Sn = 6/(1 - 0.75) = 24
Learn more about sum of infinite geometric series on:
https://brainly.com/question/26255015
#SPJ1
helppp mee please ive been trying to get this for a while now
Answer:
[tex]sin(P)=\frac{\sqrt{55}}{10}[/tex]
Step-by-step explanation:
Sine Function:The sine function is defined as a ratio of sides: [tex]sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
where the "opposite" side is quite literally the opposite side, if you went straight from the angle, whatever side it's pointing towards is the opposite angle. The hypotenuse... is as the name implies, the hypotenuse. The symbol inside the parenthesis next to the sine is called theta and is just used to represent some angle.
We of course don't know the hypotenuse as it's not given, but we can use the Pythagorean Theorem to solve for the hypotenuse:
[tex]c^2=\sqrt{45}^2+\sqrt{55}^2\\c^2=45+55\\c^2=100\\c=10[/tex]
We do know the opposite side though, it's just the square root of 55, it's directly opposite of the angle P. Plugging in known values we get the following: [tex]sin(P)=\frac{\sqrt{55}}{10}[/tex] and we can't simplify this any further as 45 has no factors which are perfect squares.
For every 3 lemons you buy at a farm stand, the total cost increases by $1.80.
The constant of proportionality is
An equation that relates the total cost y and the number of lemons x is y=____x
Use the equation you wrote to complete the table.
The constant of proportionality is 0.60
The equation is y = $0.60x.
Here is the completed table
Number of lemons Total cost
4 $2.40
7 $4.20
15 $9
18 $10.80
What is the total cost of lemons?Direct variation is when two variables move in the same direction. As the number of lemons bought increases, the total cost increases.
The equation that represents direct variation is:
y = kx
Where:
y = total cost k = constant of proportionality x = number of lemons$1.80 = 3k
k = $1.80 / 3
k = $0.60
y = $0.60x
Total cost of 4 lemons= $0.60 x 4 = $2.40
Total cost of 18 lemons= $0.60 x 18 = $10.80
Number of lemons that cost $4.20 : 4.20 / 0.6 = 7
Number of lemons that cost $9 : 9 / 0.60 = 15
To learn more about direct variation, please check: https://brainly.com/question/27573249
#SPJ1
A pharmaceutical company is carrying out
a trial for a new flea prevention
medication that is designed to work for
dogs or cats. They recruit pet owners and
ask them what flea prevention they
currently use. They randomly assign half of
the dogs in the study to the new flea
prevention medication, and the other half
of the dogs in the study will receive their
current prevention. A similar process is
carried out with the cats in the study.
What type of experiment design is this?
Choose 1 answer:
A
B
A randomized block design where the
pet types (dogs and cats) are the blocks
A systematic cluster design
A matched pairs design where the new
and existing flea medications are the pair
In the experiment in which researcher randomly assign half of the dogs in the study to the new flea prevention medication, and the other half of the dogs in the study will receive their current prevention, this type of experiment design is a randomized block design where the pet types (dogs and cats) are the blocks.
What is randomized block design in experiment design?Randomized block design is a type of experimental design that is used to control for the effects of extraneous variables. It involves dividing the subjects or treatments into groups, or blocks, that are similar with respect to the extraneous variable.
These blocks are then randomly assigned to the treatments being tested. By controlling for the extraneous variable in this way, the randomized block design can reduce error and increase the accuracy of the results.
Read more about experiment design
brainly.com/question/1418338
#SPJ1
Answer:
answer B (Khan)
Step-by-step explanation:
A randomized block design where the pet types (dogs and cats) are the blocks
Kayla and Kevin have the same-size notebooks.
Kayla covered 5/6 of hers with stickers. Kevin covered 5/8 of his with stickers. Who covered more of the notebook? Explain your answer.
Solving provided question, we can say that The least common multiple (LCM) of 6 and 8 is 24. So, we can rewrite Kayla's fraction as 20/24 and Kevin's fraction as 15/24.
What is least common multiple?The least common multiple, or the least common multiple of the two integers a and b, is the smallest positive integer that is divisible by both a and b. LCM stands for Least Common Multiple. Both of the least common multiples of two integers are the least frequent multiple of the first. A multiple of a number is produced by adding an integer to it. As an illustration, the number 10 is a multiple of 5, as it can be divided by 5, 2, and 5, making it a multiple of 5. The lowest common multiple of these integers is 10, which is the smallest positive integer that can be divided by both 5 and 2.
To compare the proportion of each notebook covered with stickers, we need to find a common denominator for the fractions.
The least common multiple (LCM) of 6 and 8 is 24. So, we can rewrite Kayla's fraction as 20/24 and Kevin's fraction as 15/24.
So, Kayla covered more of her notebook with stickers, as 20/24 is greater than 15/24.
To know more about least common multiple visit:
https://brainly.com/question/30060162
#SPJ1
Find the rate of change of the function on the interval specified for the real number h  f(x) = 7x+4 on [ x,x+h]
The rate of change of the function on the interval specified as in the task content is; 7.
What is the rate of change of the function on the given interval?It follows from the task content that the rate of change of the function on the interval specified for the real number h  f(x) = 7x+4 on [ x,x+h] is to be determined.
Since the function is a linear function, it follows that the rate of change is a constant and hence is given by;
f'(x) = 7.
Ultimately, the rate of change of the function on the given interval is; 7.
Read more on rate of change of linear functions;
https://brainly.com/question/24655859
#SPJ1
The shape of the distribution of the number of clase friends for the males is best characterized as
The shape of the distribution of the number of clase friends for the males is best characterized as Skewed to the higher values (right or positively skewed).
What are shapes called in math?Construction of closed geometric shapes involves the usage of points, line segments, circles, and curves. These shapes are all around us. Circles, rectangles, triangles, and other shapes are examples of geometric shapes. Triangle-shaped slices make up the shape of a pizza
What are the basic shapes?The basic shapes include the square, circle, triangle, and other simple shapes that cannot be further subdivided into the simpler shapes by general standards.
To know more about the Shape visit;
https://brainly.com/question/24601545
#SPJ1
What are the coordinates of (-5,6) after a dilation of 2 centered at the origin
Answer:
(-10, 12).
Step-by-step explanation:
A dilation with a scale factor of 2 centered at the origin expands distances from the origin by a factor of 2. If a point in the plane is represented by the coordinates (x, y), then the point obtained by a dilation centered at the origin with scale factor k is represented by (kx, ky).
So, if the original point is (-5, 6), then after the dilation of 2 centered at the origin, the new point is represented by (2 * -5, 2 * 6) = (-10, 12).
So the coordinates of (-5, 6) after a dilation of 2 centered at the origin are (-10, 12).
Graph the image of square CDEF after a dilation with a scale factor of
1
2
, centered at the origin.
Answer:
Step-by-step explanation:
To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin, you would need to double the x and y-coordinates of each vertex of the square.
Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:
(2a, 2b)
(2a, 2b + 2)
(2a + 2, 2b + 2)
(2a + 2, 2b)
So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.
To graph the image, you would plot each of the new vertices and connect them to form the image square.
The solution is given below.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
here, we have,
To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin,
we would need to double the x and y-coordinates of each vertex of the square.
Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:
(2a, 2b)
(2a, 2b + 2)
(2a + 2, 2b + 2)
(2a + 2, 2b)
So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.
To graph the image, we would plot each of the new vertices and connect them to form the image square.
To learn more on Square click :
brainly.com/question/14198272
#SPJ2
