A 1,500 square foot house in New Jersey costs $1,400 each winter to heat with its existing oil-burning furnace. For an investment of $5,000, a natural gas furnace can be installed, and the winter heating bill is estimated to be $800. If the homeowner's MARR is 6% per year, what is the discounted payback period of this proposed investment? Choose the correct answer below. O A. The discounted payback period of this proposed investment is 11 years. OB. The discounted payback period of this proposed investment is 9 years. OC. The discounted payback period of this proposed investment is 12 years. D. The discounted payback period of this proposed investment is 10 years.

Answer:

3 feet

Step-by-step explanation:

s= sandra

L= Lamp

if you know that the lamp is four feet away, and the bird is five feet away. go vertically up from the lamp until the distance from the lamp vertically equals five feet back to sandra.

Answer:

15 cabins will be needed

Answer:

b and d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7   That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8     That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9    That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10   Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36   This won't work either. Same reason as n = 5.

The correct option is $12.90.

From the computation done, it can be denoted that the total price that will be paid will be $12.90.

1 Krispy Kosmos at $2.89 = $2.89

2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38

1 Gooey Globs at $2.99 = $2.99

Total = $2.89 + $6.38 + $2.99 = $12.26

We'll then add the sales tax of 5.2%, therefore, the total value will be:

= $12.26 + (5.2% × $12.26)

= $12.26 + $0.638

= $12.90

In conclusion, the correct option is $12.90.

Learn more about addition on:

https://brainly.com/question/29464370

#SPJ4

170/425=0.4

as a percent  = 40%

The volume of the solid obtained by rotating the region bounded by the parabola 43y = x^2 and the square root function y = √(4px) around the x-axis is (256/3)πp^(5/2).

To find the volume of the solid obtained by rotating the region bounded by the parabola 43y = x^2 and the square root function y = √(4px) around the x-axis, we can use the method of cylindrical shells.

The region bounded by the two curves can be divided into thin vertical strips of width Δx, each of which can be rotated about the x-axis to form a cylindrical shell. The height of each cylindrical shell is the difference between the two functions at x, which is given by:

h(x) = √(4px) - (x^2 / 43)

The radius of each cylindrical shell is simply x, since the shell is being rotated around the x-axis. Therefore, the volume of each shell is:

V(x) = 2πxh(x)Δx

To find the total volume, we need to integrate V(x) over the range of x from 0 to 2√(43p). Thus, we get:

V = ∫(0 to 2√(43p)) 2πx[√(4px) - (x^2 / 43)] dx

Simplifying and integrating, we get:

V = 4πp/3 [(2√43p)^3 - (2√43p)^2]

V = (256/3)πp^(5/2)

To learn more about volume click on,

https://brainly.com/question/30726290

#SPJ4

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

To know more about laws of physics refer here:

https://brainly.com/question/13966796

#SPJ11

Answer:

17 weeks

Step-by-step explanation:

She need to increase ( 176 - 108 ) = 68 pounds

68 pounds / (4 pounds/week) = 17 weeks

Answer:

The cost to buy 14 notebooks and 16 desktop computers will be:

= 250(14) + 175(16)

= 3500 + 2800

= $6300

The cost to buy n notebooks and d desktop computers will be:

= 250(n) + 175(d)

Step-by-step explanation:

Answer:

The first one is 30 computers

The second is n +d computers

Step-by-step explanation:

The first one, you just need to add 14 and 16 cause that's the total.

The second one, it is n + d computers because you need to add everything to get the total so it is n + d

(if you need to find the prices, it is 1. 6300$ and 2. 250n+175d

Answer:

25%

Step-by-step explanation:

25%

0, 25, 50, 100

That is 1/4 on the number line.

Answer:

Para factorizar trinomios de la forma ax2 + bx + c, existen varias formas, a continuación se describirá una de ellas: EJEMPLO. Se multiplica y se divide el trinomio por el coeficiente del primer término. Se resuelve el producto del primero y tercer término dejando indicado el del segundo término.

Answer:

10080.000

Hope this helps you! Happy holidays

Answer: 15.54 Km

Step-by-step explanation:

740*21 = 15,540 = 15.54 Km

If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

Learn more about derivative

brainly.com/question/29144258

#SPJ11

The exact length of the curve defined by x = et − 4t and y = 8et/2, where 0 ≤ t ≤ 4, is 48.

To find the curve length defined by the parametric equations x = et − 4t and y = 8et/2, where 0 ≤ t ≤ 4, we can use the arc length formula for parametric curves.

The arc length formula states that for a parametric curve defined by x = f(t) and y = g(t), where a ≤ t ≤ b, the length of the curve is given by the integral of \(\sqrt{[(dx/dt)^2}\) +\((dy/dt)^2\)] dt over the given interval.

In this case, we compute dx/dt and dy/dt as follows: dx/dt = \(e^t^ - ^4\)and dy/dt = \(4e^(^t^/^2^)\).

Substituting these values into the arc length formula and integrating from t = 0 to t = 4, we obtain the integral ∫[0 to 4] \(\sqrt{[(e^t^ -^ 4^)^2}\) + \((4e^(t^/^2^))^2]\) dt.

Simplifying and evaluating this integral yields the exact length of the curve as 48.

Learn more about curve length

brainly.com/question/30460787

#SPJ11

Step-by-step explanation:

first thing that seems to be a given (and not mentioned in the description) : QM is a diameter (straight line) through the circle. otherwise this cannot be solved without further information.

remember, a half-circle has 180°.

so, arc angle MAP = 180 - 33 = 147°.

arc angle RMP = RM + MAP = 46 + 147 = 193°.

arc angle RSQ = 180 - 46 = 134°.

arc angle MRQ is the full half-circle = 180°.

arc angle MAP (as above) = 147°.

Answer:

large number = 40

smaller number = 15

The answer reads "40," is the correct response to the earlier question.

What is median ?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the centre of a sequence to determine its value.

There are data of 9 students and we need to arrange them in ascending order to find our answer.

So, the arrangement looks like the following:

⇒ 25, 35, 45, 50, 60, 80, 90, 95, 100

We are aware that

In all cases, the middle value is the median.

Therefore, it is safe to say that the Median of the aforementioned arrangement is 60.

Hence, Median of the numbers on the left of the median is 60=35+45/2 = 40

Learn more about median, by the following link

https://brainly.com/question/14532771

#SPJ1

To get another estimate using the velocities at the end of the time periods, repeat the process from (a), but this time, use the velocity values at the end of each interval as the heights of the rectangles.

To estimate the distance traveled by the motorcycle, we can use the velocities at the beginning or end of the time intervals to calculate the area under the velocity graph using rectangles.

(a) Using the velocities at the beginning of the time intervals, we can estimate the distance by adding up the areas of the rectangles formed by the velocity and time intervals. The distance estimate is the sum of these areas, which is approximately 156 meters.

(b) Using the velocities at the end of the time intervals, we can estimate the distance by adding up the areas of the rectangles formed by the velocity and time intervals. The distance estimate is the sum of these areas, which is approximately 175 meters.

(c) Since the velocity function is increasing over time, the estimate in part (a) using the velocities at the beginning of the time intervals is a lower estimate, and the estimate in part (b) using the velocities at the end of the time intervals is an upper estimate. This is because the velocity is increasing, and the rectangles using the beginning velocities will underestimate the distance, while the rectangles using the end velocities will overestimate the distance. Therefore, we can conclude that the estimates in parts (a) and (b) are respectively lower and upper estimates of the distance traveled by the motorcycle.

(a) To estimate the distance traveled using the velocities at the beginning of the time intervals, use the velocity values as the heights of rectangles and multiply them by the interval width (12 seconds). Sum up the resulting products to get an approximate distance.

(b) To get another estimate using the velocities at the end of the time periods, repeat the process from (a), but this time, use the velocity values at the end of each interval as the heights of the rectangles.

(c) The estimates in parts (a) and (b) can be considered as upper and lower estimates if the velocity function is strictly increasing or decreasing. If the velocity function is neither increasing nor decreasing consistently, then these estimates are not strictly upper or lower estimates. To determine which is which, analyze the given data and observe the behavior of the velocity function over time.

To learn more about rectangles, click here:

brainly.com/question/29123947

#SPJ11

according to question the values of i0, ω, and ϕ are:

i0 = ±0.08 A

ω = 8000π rad/s

ϕ = -90 degrees

We are given:

vs(t) = 20sin(4000t)V

io(t) = i0cos(ωt + ϕ)

We need to find i0, ω, and ϕ.

To find i0, we can use the fact that the maximum value of io(t) occurs when sin(ωt + ϕ) = 1. Therefore, i0 is the maximum value of io(t). We can find the maximum value of io(t) by taking the amplitude of the cosine function, which is |i0|. We know that vs(t) = 20V is the maximum value of the voltage source, and io(t) is the current flowing through it. Therefore, |i0| = |vs(t)/Zc|, where Zc is the impedance of the capacitor.

The impedance of a capacitor is given by Zc = 1/(jωC), where j is the imaginary unit and C is the capacitance. Substituting the values, we get:

Zc = 1/(j400010^-6) = -j250

|i0| = |vs(t)/Zc| = |20/(−j250)| = 0.08 A

Therefore, i0 = ±0.08 A.

To find ω and ϕ, we can use the fact that io(t) lags vs(t) by 90 degrees. Therefore, ϕ = -90 degrees.

We also know that the angular frequency ω is related to the frequency f by ω = 2πf. In this case, the frequency is 4000 Hz. Substituting the value, we get:

ω = 2π(4000) = 8000π rad/s

To learn  more about maximum visit:

brainly.com/question/17467131

#SPJ11

The square of the canonical correlation is a measure of the strength of association between two sets of variables. It ranges from 0 to 1, with values closer to 1 indicating a stronger association between the two sets of variables. In this case, with a value of .64, it suggests that there is a moderate to strong association between the two sets of variables being analyzed.

The discriminant function and the square of the canonical correlation are both measures used in statistical analysis to understand the relationship between two sets of variables.

The discriminant function is used in discriminant analysis, a type of statistical analysis that helps to predict which group an individual observation belongs to based on a set of predictor variables. The estimated discriminant function tells us the relationship between the predictor variables and the group membership.

Here you can learn more about the canonical correlation

https://brainly.com/question/29955194#

#SPJ11

O f(x) = 4(1.02)"

O f(x) = 0.5(1.02)

O f (x) =3/4 (1.35)

Of(x) = 7(5/4)

The soluation will be

Of(x) = 7(5/4)

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

Answer:

The answer is C.Standard Form. The rest are used when graphing. Hope this helps!

Let's verify all options to see which is correct.

This equation is not in point-slope form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in point-slope form.

This equation is not in slope intercept form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.

This equation is in standard form because if we compare the given equation with the formula, they both will be in similar forms.

Henceforth, this equation is in standard form.

This equation is not in general form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.

Negative x positive = negative

Negative x negative = positive

-4 x 8 = -32

-4 x -1 = 4

-4 x -5 = 20

-4 x 9 = -36

Answer: |-32 4 20 -36|

All of the criteria's are fulfilled the survey is valid.

We have the information from the question:

The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.

Then, 34% = 0.34

The sample size of the data is = 100

p: the ‘proportion’ of ‘college’

The required conditions for testing the hypothesis of population proportion are,

(i) The population is larger than the sample

(ii) np > 10

=> 100 × 0.34

      =34

(iii) n(1-p) > 10

100 × (1 - 0.34)

=> 100 × 0.66

      =66

iv)The ‘sample’ is drawn randomly from the population.

Since all of the above criteria's are fulfilled the survey is valid.

Learn more about Sample size at:

https://brainly.com/question/30885988

#SPJ4

The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

The set of all potential outcomes or results of an experiment or random trial is referred to as the sample space in probability theory. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space.

Learn more about sample space here

https://brainly.com/question/10558496

#SPJ4