20
The average annual energy cost for a certain home is
$4,334. The homeowner plans to spend $25,000 to
install a geothermal heating system. The homeowner
estimates that the average annual energy cost will
then be $2,712. Which of the following inequalities
can be solved to find t, the number of years after
installation at which the total amount of energy cost
savings will exceed the installation cost?
A) 25,000 > (4,334 - 2,712)
B) 25,000 < (4,334 - 2,712)
C) 25,000 - 4,334 > 2,712t
D) 25,000 >
4,332
2,712t

Answers

Answer 1

Answer:

This is my first question but I think it's c

Step-by-step explanation:

25,000-4334=20,666

20,666/2712=7.62 which rounds to 8


Related Questions

In the triangle below, Four-fifths represents which ratio?

Answers

Answer:Sin

Step-by-step explanation:

right angled triangle special trig functions can be applied

1. A rectangle measures 6 cm by
4 cm. Another rectangle with adjacent
sides o on and x cm is geometrically
similar to it.
Find the two possible value of x.

Answers

Answer:

Two figures are similar if they have the same shape:

For example, two rectangles are similar if the quotient between length and wide is the same.

Now, we know that one of the rectangles is 6cm by 4cm.

The quotient of the lengths is 6cm/4cm = 3/2

Here we have a problem; you wrote

" Another rectangle with adjacent

sides o on and x cm ....."

I guess that this means:

The other triangle has one side with a measure of x cm, and the other side will have the lenght A, a constant number that you can complete after.

Now, if this new triangle is similar to the first one, then we must have;

If x > A.

x/A = 6cm/4cm = 3/2

x = (3/2)*A.

if x < A

A/x = 6cm/4cm = 3/2

x = (2/3)*A

There you have the two possible values of x, for a known A.

Please answer this in two minutes

Answers

Answer:

tan(X) = 1.05

Step-by-step explanation:

The triangles WXY and VTU are similar using the case AA (angle-angle).

The angle X is equal the angle T, therefore they have the same tangent value.

The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:

[tex]tan(T) = UV / UT[/tex]

[tex]tan(T) = 21 / 20 = 1.05[/tex]

[tex]tan(X) = tan(T) = 1.05[/tex]

In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown. Please answer properly!

Answers

a. true

b. false ( angles should equal 180 125+65=190)

c. true

d. true

e. true

Help me with 5c-4c+c

Answers

5c-4c+c=2c

Step-by-step explanation:

Since there is only addition and subtraction and no other operations, just work from left to right.

5c-4c = c

c+c=2c

Done!

Answer:

2c

Step-by-step explanation:

Because this whole equation consists of numbers with c's and addition and subtraction, you can just add and subtract as if they were regular numbers!

5c-4c+c

c+c

2c

Hope this helped!! :)

Can someone help me with this

Answers

Answer:

D. [tex] \frac{{7}^{11} }{ {4}^{11} } [/tex]

Step-by-step explanation:

[tex]( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }[/tex]

Since we are multiplying an exponential number to a fraction the answer is going to be

[tex] \frac{7 {}^{11} }{4 {}^{11} } [/tex]

Hope this helps ❤❤❤ ;)

Answer:

[tex]D. \frac{7^{11} }{4^{11} } \\[/tex]

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

[tex]a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}[/tex]

Step 1

All you have to do is identify and use the formula

let

[tex](\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\[/tex]

so, the answer is D.

I hope it helps, have a nice day

the angle of elevation of the top of a tree from a point 27m away on the same horizontal ground as the foot on the tree is 30 degrees .find the height of the tree.

Answers

Answer:

The height of the tree = 15.59m

Step-by-step explanation:

let's make the height of the tree = x

tan30=x/27

x = 27 x tan30

x = 15.59m

Triangle ABC has vertices at A(2,5), B(4,11) and C(-1,6). Determine the angles in this triangle.
I need this solved using vectors please

Answers

Answer:

The angles are

∠A = 90°, ∠B = 26.56°, ∠C = 63.43°

Step-by-step explanation:

We have that the angles of a vector are given as follows;

[tex]cos\left ( \theta \right ) = \dfrac{\mathbf{a\cdot b}}{\left | \mathbf{a} \right |\left | \mathbf{b} \right |}[/tex]

Whereby the vertices are represented as

A= (2, 5, 0), B = (4, 11, 0), C = (-1, 6, 0),

AB =(4, 11, 0) - (2, 5, 0) = (2, 6, 0) ,  BA = (-2, -6, 0)

BC = (-1, 6, 0) - (4, 11, 0) = (-5, -5, 0), CB = (5, 5, 0)

AC = (-1, 6, 0) - (2, 5, 0) = (-3, 1, 0), CA = (3, -1, 0)

θ₁ = AB·AC

a·c = a₁c₁ + a₂c₂ + a₃c₃ = 2×(-3) + 6×1 = 0

Therefore, θ₁ = 90°

BA·BC = (-2)×(-5) + (-6)×(-5) = 40

[tex]{\left | \mathbf{}BA \right |\left | \mathbf{}BC \right |}[/tex] = (√((-2)² + (-6)²)) × (√((-5)² + (-5)²)) = 44.72

cos(θ₂) = 40/44.72 = 0.894

cos⁻¹(0.894) =θ₂= 26.56°

CA·CB = 5×3 + 5×(-1) = 10

[tex]{\left | \mathbf{}CA \right |\left | \mathbf{}CB \right |}[/tex] = (√((3)² + (-1)²)) × (√((5)² + (5)²)) = 22.36

10/22.36 = 0.447

cos(θ₃) = 0.447

θ₃ = cos⁻¹(0.447) = 63.43°.

The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party?

(1) The Russo party had 31 more adults than children, and 47 more adults than did the Patel party.

(2) The Patel party had 40 more children, though 4 fewer people in total, than did the Lopez party, where the ratio of adults to children was 8 to 5.

Answer: Let the number of children in Russo party be x, The Russo party had 31 more adults than children, therefore the number of adults at the Russo party = x + 31. The ratio of adults to children at the Russo party was 5 to 4, we can find the number of children using:

[tex]\frac{5}{4}=\frac{x+31}{x}\\ 5x=4x+124\\x=124[/tex]

The number of children at the Russo party is 124 and the number of adult is 155 (124 + 31).

They  are 47 more adults at the Russo party than the Patel party, the number of adult at the Patel party = 155 - 47 = 108

the ratio of adults to children was 8 to 5 at the Lopez party, There were 152 adults at the party. Let x be the number of children at the Lopez party therefore:

[tex]\frac{8}{5}=\frac{152}{x}\\ 8x=760\\x=95[/tex]

The Patel party had 40 more children than the Lopez, the number of children at the Patel party = 135 (95 + 40).

The ratio of adults to children at the Patel party is [tex]\frac{108}{135} =\frac{4}{5}[/tex]

Please answer this in two minutes

Answers

Z EQUALS 73


There are 5 sides so we know the sum of the interior angles is 540.
Then create an equation. z+2z+2z-6+117+64=540.
Simplify. 5z+175=540.
Subtract both sides by 175 then divide both sides.

The area of circle Z is 64 ft^2.
What is the value of r?
Or= 4 ft
O r= 8 ft
O r= 16 ft
O = 32 ft

Answers

Answer:

The answer is

r =4 ft

Step-by-step explanation:

Area of a circle is given by πr²

Where r is the radius

From the question

Area = 64 ft²

So the radius is

64 = πr²

Divide both sides by π

[tex] {r}^{2} = \frac{64}{\pi} [/tex]

Find the square root of both sides

[tex]r = \sqrt{ \frac{64}{\pi} } [/tex]

r = 4 ft

Hope this helps you

Answer: 8

The answer is 8 not 4.5 or 4!!!!!!!!

Step-by-step explanation: It's not just "64" its 64pi. when you posted the question your device could not put the pi symbol so people were thinking that it was just 64.

Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hoped to meet a 2018 goal of 30.2 mpg or better for their fleet of cars. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel economy goal

Answers

Answer:?

Step-by-step explanation:

Triangle A B C is shown with its exterior angles. Angle B A C is (p + 4) degrees and angle A C B is 84 degrees. Exterior angle X B C is (3 p minus 6 degrees).
What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°

Answers

Answer: 135

Step-by-step explanation:

took it on edg2020

Answer:

135

Step-by-step explanation:

Just took the test and got it right

1.) Which movie had the Lower Q3 as shown in the box plot?

Movie A

Movie B

Both about the same


Answers

Answer: Movie A

Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.

Amanda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $111 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

For mileages higher than 80 miles Company A  will charge less than Company B

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Company A charges $111 and allows unlimited mileage.

Company A =111

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven

Company B = 55+0.70m

Where m is the number of miles.

Company A has to charge less than Company B

a<b

111 < 55+0.70m

Solving for m

111-55 < 0.70 m

56 < 0.70m

56/0.70 < m

80 < m  

For mileages higher than 80 miles Company A will charge less than Company B

The equal sides of isosceles triangle are 10 cm and perimeter is 28 cm. The area of this triangle is?

Answers

Answer:

A=24 CM²

Step-by-step explanation:

10 x 2 + x=28

20+x=28

x=8

a=b x h/2

a=6 x 8 / 2

a=24CM²

M
Which angle is an adjacent interior angle to ZJKM?
LJKL
ZMKL
J
K
ZKLM
L
LMK

Answers

Answer:MLK

Step-by-step explanation:

The angle that is placed sideways with <JKM is <MKL

Interior adjacent angle of a triangle

The adjacent interior angle of a triangle are angles placed sideways with each other.

For the given diagram attached, you can see interior angles of the triangle are <LMK, <MKL and <KLM

Among the listed interior angles, the angle that placed sideways with <JKM is <MKL

Learn more on interior angles here: https://brainly.com/question/24966296

steven wants to buy a 495 steven has no money saved,but will be able to deposit 40 into a savings account when he receives his paycheck each Friday however before steven can buy the bike he must give his sister 65 that he owes her

Answers

Answer:

14 paychecks

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

Therefore , he must save for 14 paychecks

Hope this helps and pls mark as brainliest :)

Answer:

14

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Hope this help

Mark me BRAINLIEST

Tysm

Please answer this question

Answers

Answer:

[tex] y = 9.1 [/tex]

Step-by-step explanation:

Use the Law of sines to find y in ∆WXY, given:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Therefore,

[tex] \frac{y}{sin(Y)} = \frac{x}{sin(X)} [/tex]

[tex] \frac{y}{sin(106)} = \frac{8}{sin(58)} [/tex]

[tex] \frac{y}{0.961} = \frac{8}{0.848} [/tex]

[tex] \frac{y}{0.961} = 9.434 [/tex]

Multiply both sides by 0.961 to solve for y

[tex] \frac{y*0.961}{0.961} = 9.434*0.961 [/tex]

[tex] y = 9.434*0.961 [/tex]

[tex] y = 9.1 [/tex] (to nearest tenth)

Solve with long division method 31/27​

Answers

Answer:

1.148 repetent

Step-by-step explanation:

hope this helps

hi im new and i need help picture below, please help, thank you :)

Answers

Answer:

x = 80 degrees

Step-by-step explanation:

y degrees = 180 - 55 - 45 (Angles in a triangle add up to 180 degrees)

y degrees = 80 degrees

x = y (Vertically opposite angles are equal)

So,

x = 80 degrees

dentify which of these types of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster. To determine her air qualityair quality​, MirandaMiranda divides up her day into three​ parts: morning,​ afternoon, and evening. She then measures her air qualityair quality at 33 randomly selected times during each part of the day. What type of sampling is​ used?

Answers

Answer:

The sampling method used is a stratified sampling method

Step-by-step explanation:

sampling is the selection of a predetermined representative subpopulation from a larger population, to estimate the characteristics of the whole population.

Stratified sampling: Here, the total population are divided into subcategories (strata) before sampling is done. The strata are formed based on some common characteristics. In our example, the times of the day (morning, afternoon and evening) has widely varying atmospheric conditions which will add biases to the measurement of air quality. For example, the air in the morning if compared to the afternoon in an industrial area may be purer because of minimal industrial activity, hence effective comparison will be made by stratification.

What is 36 with a exponent of 2 dquated

Answers

Answer:

Hey there!

That would be the square root of 36, or 6.

Hope this helps :)

From the top of a vertical cliff 75.0m high, forming one bank of a river, the angles of depression of the top and bottom of a vertical cliff which forms the opposite bank are 22° and 58° respectively. Determine the height of the second cliff and width of the river

Answers

Answer:

a. 46.9 m b. 56.1 m

Step-by-step explanation:

a. Width of the river

The angle of depression of the bottom of the second vertical cliff from the first vertical cliff = angle of elevation of the top of the first vertical cliff from the bottom of the second vertical cliff = 58°.

Since the height of the vertical cliff = 75.0 m, its distance from the other cliff which is the width of the river, d is gotten from

tan58° = 75.0 m/d

d = 75.0/tan58° = 46.87 m ≅ 46.9 m

b. Height of the second cliff

Now, the difference in height of the two cliffs is gotten from

tan22° = h/d, since the angle of depression of the top of second cliff from the first cliff is the angle of elevation of the top of the first cliff from the second cliff = 22°

h = dtan22° = 18.94 m

So, the height of the second cliff is h' = 75.0 - h = 75.0 m - 18.94 m = 56.06 m ≅ 56.1 m

(-13) X ... X (-13).
35 times
Use the ^ symbol to represent an exponent.
For example: 52 should be typed as 5^2
Negative Bases must be in parenthesis. For example (-3)^4

Answers

Answer:

(-13)^35

Step-by-step explanation:

As instructed,

(-13) * (-13) ...(-13) 35 times is represnted as

(-13)^35

( = -972786042517719014174576083150881262357   .... by the way)

find the value of x and y

Answers

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The perpendicular line bisect the base of isosceles triangle.

Then,

9^2=y^2-x^2

81=324-243

81=81

So the correct answer is D

I Hope this will be helpful for you

A function f(x) has x-intercepts of -3 and -5 what is the constant term in the function f(x)=x^2+8x+

Answers

Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

because x^{2} represents the quadratic equation, so I don't think it will affect it

The graphed line shown below is y = negative 2 x minus 8. Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative (2 x + 8) y = negative 2 (x minus 8) y = negative 2 (x minus 4) y = negative (negative 2 x + 8)

Answers

Answer: A y = -(2x+8)

Step-by-step explanation:

The first line is y=-2x-8

Thus, the answer that simplifies to y = -2x-8 is the answer.  

a) y=-(2x+8)

Distribute

y=-2x-8

Because it works, no need to try the others.

Hope it helps <3

Answer:

[tex]\boxed{y = -(2x + 8)}[/tex]

Step-by-step explanation:

For the two lines to have infinite [tex]\infty[/tex] solutions, the two equations must be the same.

First equation : y = -2x - 8

A. y = -(2x + 8)

   y = -2x - 8 correct

B. y = -2(x - 8)

   y = -2x + 16 incorrect

C. y = -2(x - 4)

   y = -2x + 8 incorrect

D. y = -(-2x+8)

    y = 2x - 8 incorrect

y = -2x - 8 and y = -(2x + 8) when graphed are the same, they intersect at infinite points and there are infinite solutions.

In the figure given below L || m .find the value of x

Answers

Answer:

x = 30

Step-by-step explanation:

Since l and m are parallel, then

3x + 10 = 40 + 60 = 100 ( subtract 10 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

A person who takes a 10-minute shower might use between 20 and 25 gallons of water,depending on the speed of the water passing through the showerhead . The lower the speed, the less water that is used.

The equation w=2.5m models the amount of water, w, in gallons that passes through a showerhead in minutes.

Which is the independent variable and which is the dependent variable?

The amount of water in gallons, w, is the independent or dependent variable.

The time in minutes, m, is the independent or dependent variable. ​

Answers

Answer:

The amount of water in gallons, w, is the dependent variable.

The time in minutes, m, is the independent variable.

Step-by-step explanation:

The amount of water in gallons depends on the time in minutes. If the time is higher, the amount of water in gallons will be higher. If the time is lower, the amount of water in gallons will be lower.

Hope that helps.

Other Questions
find the lowest common denominator of 3/x^3y and 7/xy^4 The radius of a sphere is measured to be 3.0 inches. If the measurement is correct within 0.01 inches, use differentials to estimate the error in the volume of sphere. Patton has acquired several other companies. Assume that Patton purchased Kate for $ 6 comma 000 comma 000 cash. The book value of Kate's assets is $ 15 comma 000 comma 000 (market value, $ 17 comma 000 comma 000 ), and it has liabilities of $ 13 comma 000 comma 000 (market value, $ 13 comma 000 comma 000 ). Requirements 1. Compute the cost of goodwill purchased by Patton . 2. Record the purchase of Kate by Patton . A country operates under a flexible exchange rate system. When the central bank lowers the interest rate during a recession, investment spending will decrease, the exchange rate value of the currency will_____, and net exports will_____. Which pairs of angles are alternate exterior angles? select yes or no Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadraticwithout graphing the system of equations. Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring? Use the information in the chart to calculate the real exchange rate between the U.S. dollar and the Indian rupee. Round to the nearest whole number. 2014 2015 2016 rupees/dollar 57 62 72 U.S. price index 99.5 100.1 101.1 Indian price index 108 117 128 What was the real exchange rate in 2014 A pianist plans to play 5=pieces at a recital from her repertoire of 20 pieces, and is carefully considering which song to play first, second etc. to create a good flow. How many different recital programs are possible? LC)What is cinematography? The use of a camera The type of film created The study of film as an art form The use of outdoor locations as settings for filming What is the simplified form of the following expression? [tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex] What was Hoovers initial reaction to the veterans marching into Washington? A. He mostly ignored them and their protests B. He believed they were mostly criminals, but supported their right to protest C. He sympathized with them, and gave them food and places to stay D. He believed they were going to get violent, and kicked them out of the Capital Find the present value of an investment that is worth $19,513.75 after earning 3% simple interest for 512 years. 8. Explain the differences between the two ways we store information in long-term memory. When individuals acquire, process, and act on relevant economic information promptly in their own self-interest and investigate its impact on others, they are said to have __________ expectations. In case of resale of goods arising out of a breach of contract, if the seller sets aside goods intended for the contract or completes the manufacture of such goods, he is: Evaluate 3x2 - 4 when x = 2.A. 12 B. 32 c. 2 D. 8 The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex] do following division with polynomials 1) (x^3-2x^2+3x-3)(x+2) Aplicar la tildacin diacrtica en las siguientes expresiones. 1. Creo que estos utensilios son mejores que aquellos. 2. Todos se fueron aun mis parientes. 3. Solo por ti me esfuerzo. 4. Cuando estaba solo, solo me importaba leer. 5. Cuando recuerdo aquellos aos, me emociono. 6. Ni aun su madre pudo detenerlo. 7. Solo deseo escuchar un solo de piano. 8. Aquello parece imposible. 9. Ese lapicero es de aquellas. 10. Ese tiempo es efmero, este pasa por el hombre y no el hombre por este. .- Coloca la tilde donde corresponde. 1. Solo se que nada se. 2. Maana tu y yo hablaremos de eso. 3. Pierde tu tiempo mas no vuelvas a anhelar mas. 4. Tu ida complicar tu propia situacin. 5. Es la mas mas, mas no es conocida. 6. Cuando estoy solo, solo la verdad me acompaa. 7. Aun cuando sepas mentir, la verdad se asoma. 8. Te agrada tomar te? 9. Quisiera ir contigo, mas no puedo. 10. Se prudente aunque se que eres sereno. 11. Si solo dependera de mi te prestara 250 0 300.