The cost-savings if the Yert Family chooses the cheaper company is: $450.50
How do you determine the cheaper company?First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.
Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.
Step 1
Expressing the payment plan for Green Lawns, we have:
First week= $2
Second week = (2 + (2*0.85) ) = 3.7
Third week= (3.7 + (2*0.85) ) = 5.4
Using the above cumulative method, we arrive at the series of payments due per week
The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6
= $799.50
Step 2
Expressing the payment plan for Green Thumbs, we have:
350 + (30*30) = $1,250
Step 3
Hence (assuming they go for Green Lawns) the cost savings will be:
$1,250.00 - $799.50 = $450.50
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please give me complete working and explanation and I will mark you as brainliest!
Answer:
she spent 5,536 more dollars π
Step-by-step explanation:
10,535 - 4,999= 5,536
thats how much more money it cost than the stove.
is y= x/2+6 linear or non-linear
4.72x 10 to the 10th power in standard form
Answer:
47,200,000,000
Step-by-step explanation:
[tex]4.72*10^{10}[/tex] is in scientific form (notation).
To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.
Answer:
Step-by-step explanation:
Find the area of the shaded region
Answer:
Step-by-step explanation:
Remark
There are many ways you can do this. I think the simplest way is to find the area of the rectangle enclosing the winged shape and take away the area of the three unshaded triangles.
Area of enclosed rectangle
Area = L * w
L = 26 in
w = 15 in
Area = 26 * 15
Area = 390 square inches.
Find the area of the triangle on the right.
Area = 1/2 * b * h
base = 26 inches
height = 15 - 6 = 9
This is a little tricky. What you need to do to get the height of the triangle is realize that it is made from a line that goes from the base of the triangle to its peak. This line is perpendicular to the base. The line you just drew is 15 inches tall, same as the width of the enclosing rectangle.
Substitute values into the formula
Area = 1/2 * 26 * 9
Area = 117 square inches.
Find the area of the top and bottom triangles.
These 2 triangles are the same sort of thing only the base requres a bit of manipulation
height = 15 inches
base = (26 - 14)/2
base = 12/2
base = 6
Again, this requires a little bit of thought. You have 2 bases making up each of the right triangles. To find the sum of both of them, you take 26 and subtract 14 from it. That's where the 12 comes from. Now you divide 2 to get the base of each of the triangles. That gives you 6.
Find the area of one of the triangles.
Area = 1/2 * b * h
Area = 1/2 * 6 * 15
Area = 45 square inches
Find the area of both triangles.
Area of triangles at the top and bottom = 2*45 = 90
Finally find the area of the shaded area.
Area = enclosed rectangle - top triangle and bottom triangle - the triangle on the right.
Area shaded area = 390 - 45 - 45 - 117 = 183
Answer: Area shaded region = 183 square inches.
what is john locke's ideas that affected government?
John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.
Who was John Locke?John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.
What were his outstanding ideas?Some of the most popular and important postulates of John Locke were:
The State's main mission is to protect the three natural rights: life, liberty and private property.Individuals have a fourth right, the right to defend these rights, as well as any other individual freedom of citizens.The citizen cedes some rights to the State through a written consensus or constitution.The government must be made up of a king and a parliament. Parliament is where popular sovereignty is expressed and where laws are made that must be followed by both the king and the people.He described the separation of legislative and executive power.The authority of the State is sustained by the principles of popular sovereignty and legality.Power is not absolute but must respect human rights.Learn more about John Locke in: https://brainly.com/question/13346823
translate the triangle 3 to the right and 2 down
Answer:
Step-by-step explanation:
There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.
What is the value of tan 0 in the circle below
Answer:
tan theta = root3/3
see image
Step-by-step explanation:
The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
8 8 8/3 8/3
Answer:
Step-by-step explanation:
0.6 greater than 0.59?
Answer:
Yes, 0.6 is greater than 0.59.
Step-by-step explanation:
The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.
helpppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
.... thank you <3
Answer:
39.9
Step-by-step explanation:
Pls give brainlest if correct.
*Answer*:39.9
Reasoning:Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274: Rounding to the nearest hundred is 800 Rounding to the nearest ten is 840 Rounding to the nearest one is 838 Rounding to the nearest tenth is 838.3 Rounding to the nearest hundredth is 838.27
**Helping to solve**:When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be. Look to the next smallest place value, the digit to the right of the place value you're rounding to.
Therefore, the answer is C. 39.9
This has been..~NatLikesAnime
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Instructions: Given the figure, what is the angle of rotational symmetry?
Answer:
180°
Step-by-step explanation:
The Angle of Rotational Symmetry is the degree of rotation required to make the shape look like the original.
If you rotate it once by 90°, it will look completely different.
However, if you rotate it again by 90°, it looks identical to the original.
90° + 90° = 180°
Solving systems of linear equations by substitution y= 2x-1 y = 3x +2
Answer:
(x,y)=(-3,-7)
Step-by-step explanation:
step 1
y=2x-1
y=3x+2
=
2x-1=3x+2
What is the purpose of the QUADRATIC FORMULA?
N
A Determine the distance between two points
B Determine the zeros of a quadratic function
Calculate the axis of symmetry of a quadratic function
Calculate the y-coordinate of the vertex of a parabola
Please help me with this please and thank you
Answer:
Nnnnnnnnnnnn
Step-by-step explanation:
L bozo
on a number line show all the values of X that have an absolute value less than three
Answer:
x can equal 2, 1, 0, -1, -2. A line graph is shown below.
Step-by-step explanation:
The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do : 2, 1, 0, -1, -2.
x can equal 2, 1, 0, -1, -2.
What is the slope of the line whose equation is -2y = -4x + 5
Answer:
2
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-2*y-(-4*x+5)=0
STEP 1:
Pulling out like terms
1.1 Pull out like factors :
-2y + 4x - 5 = -1 • (2y - 4x + 5)
Equation at the end of step 1:
STEP 2:
Equation of a Straight Line
2.1 Solve -2y+4x-5 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -2y+4x-5 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000
y-intercept = 5/-2 = -2.50000
Calculate the X-Intercept :
When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000
x-intercept = 5/4 = 1.25000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2
Geometric figure: Straight Line
Slope = 2
x-intercept = 5/4 = 1.25000
y-intercept = 5/-2 = -2.50000
Answer:
2
Step-by-step explanation:
y=mx+b where m is the slope
to get y by itself you divide both sides by -2 resulting in
y= 2x+(-5/2)
2=m
An arithmetic sequence is given by 20, 17, 14, 11, ...
(a) Write down the value of the common difference, d.
(b) Find a100
(c) Find s100
Answer:
The common difference equals:
[tex]-3[/tex]
The sum of the sequence equals:
[tex]62[/tex]
The explicit formula of this sequence is:
[tex]a_n=20+(n-1)*(-3)[/tex]
The recursive formula of this sequence is:
[tex]a_n=a_((n-1))-3[/tex]
The nth terms:
[tex]20,17,14,11,8,5,2...[/tex]
Step-by-step explanation:
An arithmetic sequence, or arithmetic progression, is a set of numbers in which the difference between consecutive terms (terms that come after one another) is constant. This difference is called the common difference.
1. Find the common difference.Find the common difference by subtracting any term in the sequence from the term that comes after it.
[tex]a_2-a_1=17-20=-3\\a_3-a_2=14-17=-3\\a_4-a_3=11-14=-3[/tex]
The difference of the sequence is constant and equals the difference between two consecutive terms.
[tex]d=-3[/tex]
2. Find the sum.Calculate the sum of the sequence using the sum formula:
Formula
[tex]Sum=\frac{(n(a_1+a_n))}{2}[/tex]
Plug in terms
[tex]Sum=(4*(a_1+a_n))/2[/tex]
[tex]Sum=(4*(20+a_n))/2[/tex]
[tex]Sum=(4*(20+11))/2[/tex]
Simplify the expression
[tex]Sum=(4*(20+11))/2[/tex]
[tex]Sum=(4*31)/2[/tex]
[tex]Sum=124/2[/tex]
[tex]Sum=62[/tex]
The sum of this sequence is [tex]62[/tex].
This series corresponds to the following straight line [tex]y=-3x+20[/tex]
3. Find the explicit form.The formula for expressing arithmetic sequences in their explicit form is:
Formula: [tex]a_n=a_1+(n-1)*d[/tex]
Plug in the terms.
[tex]a_1=20[/tex] (this is the 1st term)
[tex]d=-3[/tex] (this is the common difference)
[tex]a_n[/tex] (this is the nth term)
[tex]n[/tex] (this is the term position)
The explicit form of this arithmetic sequence is:
[tex]a_n=20+(n-1)*(-3)[/tex]
4. Find the recursive form.The formula for expressing arithmetic sequences in their recursive form is:
Formula: [tex]a_n=a_((1-n))+d[/tex]
Plug in the d term.
[tex]d=-3[/tex](this is the common difference)
The recursive form of this arithmetic sequence is:
[tex]a_n=a_((n-1))-3[/tex]
5. Find the nth element.[tex]a_1=a_1+(n-1)*d=20+(1-1)*-3=20[/tex]
[tex]a_2=a_1+(n-1)*d=20+(2-1)*-3=17[/tex]
[tex]a_3=a_1+(n-1)*d=20+(3-1)*-3=14[/tex]
[tex]a_4=a_1+(n-1)*d=20+(4-1)*-3=11[/tex]
[tex]a_5=a_1+(n-1)*d=20+(5-1)*-3=8[/tex]
[tex]a_6=a_1+(n-1)*d=20+(6-1)*-3=5[/tex][tex]a_7=a_1+(n-1)*d=20+(7-1)*-3=2[/tex]
Terms and topics:
Artithmetic Sequencesfind the volume and the surface area of the shape
Answer: 192 is the volume of the shape
Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192
If you want to identify the mode of a set of data, which of the following graphical displays is best?
Answer:
Histogram (Please tell me if you disagree, Have a great day:)
please help me please
Answer:
its 17
Step-by-step explanation:
do 2 step Equation
if i gain 50 coins per 52.2 seconds how long would it take to reach 400,500 coins
Answer:
418122 seconds
Step-by-step explanation:
First divide 400,500 by 50. That is 8010.
Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR
6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days
Each side of a square barn is 9 meters long. What is the barn's area?
What is the barn's perimeter?
Answer:
Perimeter = 36 meters.
Area = 81 meters.
Step-by-step explanation:
To find the perimeter of a square you have to add all sides.
To find its area you have to multiply the base by the height of a square.
for f(x)=4x+2, what value of x makes f(x)=-14
Hey there,
f(x) = 4x + 2
what value of x makes f(x) = -14?
Answer :x = -4 ✅
Explanations:f(x) = 4x + 2
>> We want f(x) to be equal to -14:
4x + 2 = -14
>> Substract 2 from both sides :
4x + 2 - 2 = -14 - 2
4x = -16
>> Divide both sides by 4:
4x/4 = -16/4
x = -4
✅
Have a good day ;)
Answer:
x = -4
Step-by-step explanation:
Given:
f(x) = 4x + 2If the value of f(x) is -14,
⇒ 4x + 2 = -14 [f(x) = 4x - 2 and -14]
To simplify the equation, we need to isolate the variable completely. Start out by subtracting 2 both sides. This will isolate "x" and the cooeficient of x.
⇒ 4x = -14 - 2⇒ 4x = -16Then, divide 4 both sides to isolate the cooeficient of x on one side and a constant on the other side. The constant will be the value of x.
⇒ 4x/4 = -16/4⇒ x = -4Thus, -4 is the value of x that makes f(x) equivalent to -14
2m · 2n would be the same as _____.
A) 4 mn
B) 2 m + n
C) 2 mn
D) 2 m - n
Answer:
A) 4mn
Step-by-step explanation:
2m × 2n = 4mn
I hope this helps!
Miguel scored 74 points in his first 5 games this season. how many points has he scored per game?
14.8
Step-by-step explanation:[tex]\frac {74}{5}[/tex]____________________________________________________
Evaluate the equation/expression:[tex]14.8[/tex]
I hope this helps you
:)
Answer:
You can divided 74 by 5. 5 fits into 7 once so you subtract 5 and you are left with 2. Then bring down the 4 and you have 24. 5 fits into 24 only 4 times so you would subtract 20 from 24 and be left with 4. Then add a decimal point and a 0. Bring down the 0 and you'll have 40. 5 fits into 40 exactly 8 times so 40 - 40 = 0. The answer is 14.8
Step-by-step explanation:
Select the correct answer.
A rubber gasket has a circumference of 3.2 cm. When placed in service, it expands by a scale factor of 2. What is the circumference of the gasket when in service?
A.
1.6 cm
B.
3.2 cm
C.
6.4 cm
D.
13.2 cm
The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.
A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.
The circumference is defined as the boundary length of any circular shape.
Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm
Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.
Learn more about circumference here:
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If x =2/5, y=-4/3, z=8/9, then verify that : x+(y+z) = (x+y) + z
according to distributive property
x+(y+z) = (x+y) + z
hope it helps...!!!
AABC is equilateral.
AB = 22x-33 and AC = 7x + 57.
=
B
A
A
с
x = [?]
Answer:
Answer is 6
Step-by-step explanation:
See it is equilateral so AB=AC=BC
Now we are given values of AB and AC, but they are equal so,
22x-33 = 7x+5722x-7x = 57+3315x = 90x= 15 / 90x=6Hope it helps
BYE
why is this not working
-2^2
Answer:
-4
Step-by-step explanation:
(-2)^2=4 because a negative number squared is always positive
-(2)^2=-4
a. Complete the table.
х
f(x) = 2(2)*
=
-2 -1
0
1
2
1
Answer:
1/2,1,2,4,8 in order
Step-by-step explanation:
Given:
[tex]\displaystyle \large{f(x)=2(2)^x}[/tex]
The function can be simplified to:
[tex]\displaystyle \large{f(x)=2^{x+1}}[/tex] via law of exponent.
Recall:
[tex]\displaystyle \large{a^m\cdot a^n=a^{m+n}}[/tex]
Next, substitute given x-values in:
[tex]\displaystyle \large{f(-2)=2^{-2+1}=2^{-1}=\dfrac{1}{2}}\\\displaystyle \large{f(-1)=2^{-1+1}=2^0=1}\\\displaystyle \large{f(0)=2^{0+1}=2^1=2}\\\displaystyle \large{f(1)=2^{1+1}=2^2=4}\\\displaystyle \lage{f(2)=2^{2+1}=2^3=8}[/tex]
Therefore, the solution is 1/2,1,2,4,8
