The city is building a rectangular parking lot. The city wants the length of the parking lot to be 6 yards. The area of the parking lot must be at least 66 square yards. (All the city employees must park there) write an inequality that describes the possible widths (in yards) of the parking lot.Use w for the width of the rectangular parking lot
Answers
The area of a rectangle is given by: length*width
The lenght must = 6
The area must be at least 66 yards. This is includes the value 66 as a possible area when writing our inequality.
\(\begin{gathered} A\text{ = l*w} \\ 66\leq6w \\ w\ge11 \end{gathered}\)Answer: w is greater than or including 11.
Related Questions
Drag the tiles to the boxes to form correct pairs. In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows they are congruent. alternate exterior angles ∠2, ∠3 and ∠5, ∠8 alternate interior angles ∠1, ∠8 and ∠2, ∠7 corresponding angles ∠3, ∠6 and ∠4, ∠5 vertical angles ∠1, ∠5 and ∠2, ∠6 arrowBoth arrowBoth arrowBoth arrowBoth
Answers
Answer:
here
alternate exterior angles--∠1, ∠8 and ∠2, ∠7
alternate interior angles--∠3, ∠6 and ∠4, ∠5
corresponding angles--∠1, ∠5 and ∠2, ∠6
vertical angles--∠2, ∠3 and ∠5, ∠8
Step-by-step explanation:
Answer:
here
alternate exterior angles--∠1, ∠8 and ∠2, ∠7
alternate interior angles--∠3, ∠6 and ∠4, ∠5
corresponding angles--∠1, ∠5 and ∠2, ∠6
vertical angles--∠2, ∠3 and ∠5, ∠8
Step-by-step explanation:
-2=\(\sqrt{x} -1-2\)
Answers
Answer:
-2=\(\sqrt{x} -1-2\)
-2=\(\sqrt{x} -3\)
-2+3=\(\sqrt{x} \)
1=\(\sqrt{x} \)
\(x\) =\(\sqrt{1} \)
x = +1,-1
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
Progressive
Tax Rate
0-3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on a $90,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
Answers
Answer:
$4918
Step-by-step explanation:
You want the tax owed on $90,000 using the given tax rate table.
Tax computationThe tax is the sum of the amounts of tax due in each income range.
tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)
= 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))
= 0.0575(90,000) -(127.50 +100 +30)
= 5175 -257.50 = 4917.50
Rounded to the nearest dollar, the tax due is $4,918.
__
Additional comment
The tax will be the maximum of ...
0.02x0.03x -30 . . . . . . . . . . applicable over 30000.05x -130 . . . . . . . . . .applicable over 50000.0575x -257.50 . . . . applicable over 17000You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.
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what is 9-3 divided by 1/3 + 1 =
Answers
The table shows three popular flavors according to the results of a survey. What is the
decimal value of those who liked vanilla, chocolate, or strawberry? Round to the
nearest hundredth.
Answers
Answer:
0.45
Step-by-step explanation:
Are the two triangles similar?
A) Yes
B) No
Answers
Answer:
A) Yes
Step-by-step explanation:
A triangle is 180 degrees.
In the triangle DRE, we know ∠D is 28 degrees, ∠R is 110 degrees, ∠E must be 42 degrees.
In the triangle VTA, we know ∠V is 28 degrees, ∠A is 42 degrees, ∠T must be 110 degrees.
Comparing the angles measurement of the two triangles, we see they are the same. So, yes they are similar.
Solve for c. 9 -b +c = p
Answers
Answer:
c=p-9+b.Hope this helps if so Please consider marking brainliest!
Step-by-step explanation:
Move all terms not containing C to the right side of the equation.
c = p -9 + b
2 The temperature in Chicago was - 10 degrees Fahrenheit. It then rose 5 degrees.
a. Write an equation that you can use to find the new temperature.
b. What is the new temperature?
C. Is your answer a positive or negative integer? Why?
Answers
Answer:
Step-by-step explanation:
Given
Initial Temperature = -10
Increment = 5
Required
Solving (a): Write an Equation
The equation is to add the initial temperature and the increment
i.e
Equation = Initial Temperature + Increment
Solving (b): Solve the equation
Substitute values for initial temperature and the increment
Result = -10 + 5
Result = -5
Solving (c):
It's a negative answer because the increment in temperature is not greater than the initial temperature
Which table represents a linear function?
x
X
y
x
х
y
1
y
0
y
1
0
0
0
0
0
1
2
1
1
1
1
1
3
AN
low
N
4
3
2
0
N
5
2
3
3 3
8.
3
6
3
1
3
7
O
o
Answers
Answer:
(d) see attached
Step-by-step explanation:
A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.
a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)
b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)
c) 1 - 0 ≠ 0 - 1 . . . . not linear
d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function
Letter D. A linear function.
Step-by-step explanation:
# Brainliest Bunch
the length of a rectangular pool is 7 feet more than twice the width, find the dimensions of the area is 270 square feet!
Answers
The dimensions of the pool are 27 feet by 10 feet, and the area is indeed 270 square feet.
Let's assume that the width of the rectangular pool is x feet. According to the problem, the length of the pool is 7 feet more than twice the width, so we can write:
Length = 2x + 7
The area of a rectangle is given by the formula:
Area = Length x Width
Substituting the expression for length in terms of width in the above equation, we get:
Area = (2x + 7) x x
Simplifying the above equation, we get:
Area = 2x^2 + 7x
We are given that the area of the pool is 270 square feet. So, we can set up an equation:
2x^2 + 7x = 270
Rearranging the terms, we get a quadratic equation:
2x^2 + 7x - 270 = 0
We can solve this quadratic equation using the quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)] / 2a
where a = 2, b = 7, and c = -270.
Solving this equation, we get two values of x: x = 10 and x = -13.5.
Since the width of the pool cannot be negative, we reject the value x = -13.5. Therefore, the width of the pool is 10 feet.
Using the expression for the length of the pool in terms of the width, we get:
Length = 2x + 7 = 2(10) + 7 = 27 feet
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jermey swims 5 and 3/5 kilometers in a 7 day period he swims the same distance each day what distance does he swim in a day
Answers
Answer:
4/5 of a kilometer
Step-by-step explanation:
1 ) Turn 5 3/4 into a mixed number
5 3/5 = 28/5
2 ) Since we are trying to find the distance per day we can divide by 7/1
28/5 ÷ 7/1
3 ) The equals 4/5 which is our final answer!
Hope this helps! :)
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Answers
25% = 75/x
To solve for x, we can cross-multiply:
0.25x = 75
Then, we can divide both sides by 0.25:
x = 300
Therefore, there are 300 6th-grade students in total.
Solve 4(5x+2)=14x+32
Answers
Answer:
x=4
Step-by-step explanation:
4(5x+2)=14x+32
20x+8 = 14x+32
20x-14x+8=14x-14x +32 (Both side +14x)
6x+8=32 (cancel 14x -14x)
6x+8-8=32 -8(both side -8)
6x=24 (both side divide 6)
6x/6=24/6
x=4
Answer:
34x+34
Step-by-step
20x+2=14x+32
20x+14x=2+32
34x+2+32
2+32=34
34x=34
What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?
Answers
Answer:
1/25, 1/5, 1
Step-by-step explanation:
Answer:
A on edgeinuity
Step-by-step explanation:
IMAGINE GETTING A DIPLOMA IN THREE DAYS!!!
What are the roots of the polynomial equation x3 - 6x= 3x2 - 8? Use a graphing calculator and a system of equations
Answers
Answer:
Hence, the roots of the polynomial equation are:
-2, 1, 4
Step-by-step explanation:
We are asked to find the roots of the polynomial equation:
We can also equate this equation to y to obtain a system of equation as:
and
Hence, the roots of the polynomial; equation are the x-values of the point of intersections of the graph of the system of equations.
Hence, the point of intersection of the two graphs are:
(-2,4), (1,-5) and (4,40)
Hence, the roots of the polynomial equation are:
-2, 1, 4
solve for 8v = 3v + 25
Answers
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)
Hurry and answer i need a real answer
Answers
Answer:
C
Step-by-step explanation:
Spinner B has 4/12ths of yellow and spinner a has 2/6ths. 2/6 is equivalent to 4/12ths
Answer:
C :>
Step-by-step explanation:
A stack of boards is 24 inches high. each board is 3/4 of and inch thick. How many boards are in the stack?
Answers
Answer:
it would be 18
Step-by-step explanation:
1/4 is 6
2/4 is 12
3/4 is 18
4/4 is 24
You add 6 each time for this one.
3/4 of an inch rain fell in 1/2 hour
Answers
Cuanto mide el largo de un rectángulo cuyo perímetro es 16cm y su área 12 cm al cuadrado ?
Answers
Hay dos rectángulos posibles que satisfacen las condiciones dadas: uno de 2 cm de largo y 6 cm de ancho, y otro de 6 cm de largo y 2 cm de ancho.
standard algorithm for 0.3 +0.82
Answers
Answer: 1.12
Step-by-step explanation: just add the numbers
Javi made a certain number of bracelets for a craft show. Sam made 7 more than Javi. Ryan made 3 times as many as Sam.
Which expression represents the total number of bracelets Ryan made if Javi made s bracelets?
3s + 7
s + 21
21s
3(s + 7)
Answers
Answer: D
Step-by-step explanation:
Answer:
3(s + 7)
I KNOW!!
Now try this Take point A (3,5) and perform the following transformations (in order!) (1) Rotate it 2709 counterclockwise around the origin (2) Translate it by the rule T(2,-2) (3) Reflect it over the x-axis Just type the answer with no label*
Answers
We have to apply transformations to point A=(3,5).
First, we have to rotate 270° counterclockwise, which is the same to rotate 90° clockwise, so the transformation is:
\(\begin{gathered} (x,y)\to(-y,x) \\ \text{For point A(3,5) the rotation is:} \\ A(3,5)\to A^{\prime}(-5,3) \end{gathered}\)Then transtalate by the rule T(2,2), this means:
\(\begin{gathered} T_{(2,2)}(x,y)=(x+2,y+2) \\ So,\text{ for point A'(-5,3):} \\ A^{\doubleprime}=T_{(2,2)}(-5,3)=(-5+2,3+2)=(-3,5) \end{gathered}\)Finally we have a reflection on x-axis, so:
\(\begin{gathered} (x,y)\to(x,-y) \\ \text{For point A''(-3,5):} \\ A^{\doubleprime}(-3,5)\to A^{\doubleprime}^{\prime}(-3,-5) \end{gathered}\)The final point after all the transformations is A'''(-3,-5)
you're valuing horn of plenty mining, inc.'s, stock in order to compare its value to its market price. you believe that the company will pay total dividends of $1.45 in 2015 and $1.56 in 2016. you also believe the company's stock price will be $35.80 at the end of 2016. if the appropriate discount rate is 12 percent, what's the value of horn of plenty mining's stock? a. $39.22 b. $38.31 c. $36.87 d. $37.43
Answers
Step 1: Calculate the present value of each dividend payment.
PV(2015) = $1.45 / (1 + 0.12)^1 = $1.29
PV(2016) = $1.56 / (1 + 0.12)^2 = $1.22
Step 2: Calculate the present value of the expected stock price at the end of 2016.
PV(2016 stock price) = $35.80 / (1 + 0.12)^2 = $28.33
Step 3: Add up the present values of the dividend payments and stock price to get the total stock value.
Stock value = PV(2015) + PV(2016) + PV(2016 stock price) = $1.29 + $1.22 + $28.33 = $30.84
Therefore, the value of Horn of Plenty Mining's stock is $30.84, which means that the correct option is e) None of the above.
The bill for dinner was $41.76 . You left $8.24 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
Answers
Answer: 20%
Step-by-step explanation:
Im SOO sorry if i got it wrong but you make a porportion, it would look like this. 8.24/41.76 = x/100, were assuming x is the percent, we then do cross multiplication which would then look like. 41.76x=824. After this we want to seperate the variable so divide 41.76 on both sides.
A single filer had a taxable income of $90,725. Base on table, what is is the tax?
Answers
The amount that the taxpayer is owing in taxes is $2,691.05.
We have,
Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.
Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.
The tax payable will equals to:
= 15%*$11,757 + $927.50
= $1,763.55 + $927.50
= $2,691.05
Hence, The amount that the taxpayer is owing in taxes is $2,691.05.
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complete question:
Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?
Andrew walks along a road which can be modeled by the equation y=3x, where (0,0) represents his starting point. When he reaches the point (12,36), he turns right, so that he is traveling perpendicular to the original road, until he stops at a point which is due east of his starting point (in other words, on the x-axis).
What is the point where Andrew stops?
Answers
Answer:
(120,0)
Steps:
y-36=-1/3(x-12)
(0)-36=-1/3(x-12)
(-3)(-36)=x-12
108=x-12
120=x
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The point where Andrew stops is (120,0).
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the perpendicular line will be,
m × 3 = -1
m = -1/3
Substitute the point in the line,
y = -(1/3)x + C
36 = -(1/3)12 + C
36 = -4 +C
C = 40
Now, the equation of the perpendicular line will be,
y = -(1/3)x + 40
The point will be due east, therefore, the value of y = 0,
0 = -(1/3)x + 40
-40 = -(1/3)x
x = 120
Hence, the point where Andrew stops is (120,0).
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Why should a person care about his or her credit report?
Answers
Answer:
Checking your credit history and credit scores can help you better understand your current credit position. Regularly checking your credit reports can help you be more aware of what lenders may see. Checking your credit reports can also help you detect any inaccurate or incomplete information.
Step-by-step explanation:
hope this helps if not let me know have a blessed day
(36)^x+2= 6
Solve and round to the nearest 100th
Please help I am confused and need an explanation
Answers
As the given equation is (36)ˣ⁺² = 6 , then the solution for the given equation is x ≈ -1.54.
The given equation in the question is (36)ˣ⁺² = 6
according to the given equation , the goal is to solve the equation for x.
For solving this equation ,
we'll have to use logarithmic operations which is as follows:
log36(6) = x+2.
We will be further using a calculator to determine the logarithmic value: log36(6) ≈ 0.4607.
Now, By subtracting 2 from both sides, we will get the value of x as:
x ≈ -1.54.
When we round off this value to the nearest 100th, we will get -1.54.
Thus , the solution for the given equation is x ≈ -1.54.
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