Which of these would earn the same interest as a $150 principal at 4%
annual interest for 2 years? Select all that apply.

Answer: it would be -13

Step-by-step explanation: -13-8=-21

Answer:

It is graph C

Step-by-step explanation:

Answer: Graph C

Step-by-step explanation: On Edge

Answer:

Length = 7cm, Width = 15cm

Step-by-step explanation:

Length = p

Width = 3(p-2)

          = 3p-6

Perimeter = length + width + length + width

                = p + 3p-6 + p + 3p-6

                = 8p-12

8p - 12 = 44

Isolate 8p.

8p = 44+12

    = 56

Find p.

p = 56 ÷ 8

p = 7

Length = 7cm

Width = 3(7)-6

          = 21-6

          = 15cm

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

The standard deviation of the data is 24.8

The standard deviation is a measure of the spread or variability of a set of data from the mean. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean.

The formula for the sample standard deviation is:

s = √([∑(xi - x)^2]/(n-1))

where s is the standard deviation, xi is each individual data point, x is the sample mean, n is the sample size, and  is the sum of all the squared differences.

The standard deviation is s=24.8

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The value of the gift in 11 years, when deposited in an account paying 5 percent, will be $26,781.99.

To calculate the future value of the gift, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)^Time

Given that the present value is $15,500, the interest rate is 5 percent (0.05), and the time is 11 years, we can plug these values into the formula:

Future Value = $15,500 * (1 + 0.05)^11

= $15,500 * (1.05)^11

= $15,500 * 1.747422051

= $26,781.99

Therefore, the value of the gift in 11 years, when compounded at an annual interest rate of 5 percent, will be approximately $26,781.99.

In this calculation, we assume that the interest is compounded annually. Exhibit 1-A might provide additional information, such as the compounding frequency (e.g., quarterly, monthly) or any other specific details about the interest calculation. It's important to note that compounding more frequently within a year would result in a slightly higher future value due to the effect of compounding.

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Answer:

P(x) = $31x - $840

Step-by-step explanation:

Let x be the number of bicycles.  The total cost for purchasing and repairing the bikes is $47x, plus a one-time purchase of $840 for a workshop and tools.  Total cost, C is therefore:

  C(x) = $47x + $840

We learn Aidan sells the bikes for $75 each.  Total revenue, R, is:

  R(x) = $75x

Profit, P, would be the difference of revenue, R, and costs, C:

  P(x) = R(x) - C(x) or $75x -($47x + $840)

    P(x) = $75x -$47x - $840

    P(x) = $31x - $840

P(x) represents the total profit for x bicycles.

See the attached graph.  Note the key features of the graph are the breakeven (27 bikes) and the initial investment (-$840).  We can find the breakeven point by looking for the value of x when the profits are $0.  A more accurate determination can be found by solving the equation we developed for the case in which P(x) = $0:

P(x) = $31x - $840

0 = $31x - $840    for P(x) = 0 (breakeven)

$31x = $840

x = 27.1 units.  We need to round to 27 units since 0.1 of a bicycle makes no sense in this context.

Including all relevant disciplines and considering various disciplinary perspectives are important aspects of integration, they do not directly address the completeness of the integration process itself.

The difference between partial integration and full integration is whether or not all insights have been integrated to form a single theory. Partial integration refers to the process of integrating some of the insights or components into a cohesive whole, but not necessarily incorporating all of them. On the other hand, full integration implies that all relevant insights or components have been brought together to create a comprehensive and unified theory or understanding.

The other two answer choices mentioned, whether all relevant disciplines are included as part of the investigation and whether all disciplinary perspectives have produced alternative integrations, are not the defining factors that differentiate partial integration from full integration. While including all relevant disciplines and considering various disciplinary perspectives are important aspects of integration, they do not directly address the completeness of the integration process itself.

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The term "resilience" encompasses the psychological processes and traits that enable individuals to deal with traumas and recover their healthy and effective functioning.

To understand resilience more deeply, let's consider a mathematical analogy.

Just as mathematical equations can be adjusted or modified to solve different problems, individuals need to adapt their coping mechanisms to match the specific demands of a trauma. Being adaptable allows people to assess the situation, identify necessary adjustments, and find effective strategies for recovery.

Resilience is not solely about returning to a pre-trauma state but also involves personal growth and transformation. In mathematics, this growth can be compared to solving a complex problem that requires expanding one's knowledge and skills.

It's important to note that resilience is not a fixed trait, but rather a dynamic process that can be developed and strengthened over time. Just as mathematical skills can be improved through practice and learning, individuals can cultivate resilience through various interventions, such as therapy, support groups, self-care practices, and building healthy relationships.

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Answer: 66

Step-by-step explanation:

0 - 12 = -12

54--12 = 66

66 is the difference

The required given argument is invalid.

The argument states that if a creature is a chimpanzee, then it is a primate. This is true, because all chimpanzees are primates. The argument also states that if a creature is a primate, then it is a mammal. This is also true, because all primates are mammals. The argument then concludes that if a creature is a mammal, then it is a chimpanzee. This is not necessarily true, because not all mammals are chimpanzees. For example, humans are mammals, but we are not chimpanzees.

Here is a truth table that shows the validity of the argument:

Chimpanzee? | Primate? | Mammal? | Conclusion?

------- | -------- | -------- | --------

Yes      | Yes      | Yes      | Yes

Yes      | Yes      | No       | No

No       | Yes      | Yes      | No

No       | No       | Yes      | No

As you can see, the conclusion is true only in the first row of the truth table. In all other rows, the conclusion is false. Therefore, the argument is invalid.

Here is a common form of the argument:

All A are B.

All B are C.

Therefore, all A are C.

Use code with caution. Learn more

This is called a syllogism. The first statement is the major premise, the second statement is the minor premise, and the third statement is the conclusion. The syllogism is valid because the conclusion follows logically from the premises.

In the case of set theory, the argument about Bobo, the major premise is "All chimpanzees are primates." The minor premise is "Bobo is a primate." The conclusion is "Bobo is a chimpanzee." The conclusion does not follow logically from the premises. Therefore, the argument is invalid.

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0.3317  is the p-value .

What is the P value?

H0 : Mu  =  10.2

H1 : Mu > 10.2

Test statistic

t=0.45          (since n is small)

P value = 0.3317

Hence P is greater than 0.10

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The speed at 60 miles to 2 dp if Karina didn't stop, will be 38.5 mph.

Speed is defined as the rate of change of position of a subject in any direction. We have the basic formula to find the speed given by:

Speed = \(\frac{Distance}{Time}\)
s = \(\frac{d}{t}\)

To find the average speed for the last 60 miles, we need to know the time spent by Karina during the final 60 miles.

For the initial time during 70 miles, we follow the below calculations:

Initial Speed = \(s_{i}\) = 50mph
Initial Distance = \(d_{i}\) = 70 miles
Initial time for 70 miles = \(t_{i}\)

\(s_{i}\) = \(\frac{d_{i} }{t_{i} }\)

\(t_{i}\) = \(\frac{d_{i} }{s_{i}}\)

\(t_{i}\) = \(\frac{70}{50}\) = 1.4 hr

For the Total time = t,

Total Speed = s = 44 mph.

Total Distance = d = \(d_{i} + d_{f}\) = 70 + 60 = 130 miles

Total time = \(\frac{d}{t}\) = \(\frac{130}{44}\) = 2.96 hr

For the Final time during 70 miles = \(t_{f}\)

t = \(t_{i} + t_{f}\)
\(t_{f}\) = t - \(t_{i}\)
\(t_{f}\) = 2.96 - 1.4 = 1.56 hr

Hence, the average speed for the final 60 miles can be calculated as:

Final Speed = \(s_{f}\) = ?
Final Distance = \(d_{f}\) = 60
Final Time = \(t_{f}\) = 1.56 hr.

Average Speed = \(s_{a}\) =  \(\frac{d_{f}}{t_{f}}\) =  \(\frac{70}{1.56}\) = 38.50 mph.

So, the Final average speed for the last 60 miles Karina traveled is 38.50 mph

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The geometric mean return of the given data set is 0.02.

The geometric mean return measures the compound rate of return over a period of time. It is calculated by taking the product of all the returns and then taking the nth root of the product, where n is the number of returns.

Formula: GMR = ((1+r1)(1+r2)…(1+rn))^1/n – 1

In this case, the data set is as follows:

r1 = 0.05

r2 = 0.03

r3 = -0.02

Using the formula above, the geometric mean return is calculated as:

GMR = ((1+0.05)(1+0.03)(1-0.02))^1/3 - 1

GMR = ((1.05)(1.03)(0.98))^1/3 - 1

GMR = (1.1394)^1/3 - 1

GMR = 0.0204

Therefore, the geometric mean return of the given data set is 0.02.

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Answer:

Yes Estaban has enough money to buy everything

Step-by-step explanation:

Estaban has $20 from his allowance

He wishes to buy a comic book of $4.25, a cereal bar of $0.89 and a small remote control of $10.99

The total expense is

= $4.25 +$0.89 + $10.99

= $16.13

$20-$16.13

= $3.87

Hence Estaban has enough money to buy everything because he wishes to buy costs a total of $16.13 and he has an allowance of $20

Answer: THE ANSWER IS

Determine if the relation is a function.

The relation is a function.

Find the domain and range.

Domain:

{−3, −1,  5,  8}

Range:

{−6}

Graph.

{(−3,−6),  (−1,  −6),  (5,  −6),  (8,  −6)}

Determine if the relation is linear.

The relation is linear

Find the inverse.

( − 6 ,  − 3 ) ,   ( − 6 ,  − 1 ) ,   ( − 6 ,  5 ) ,   ( − 6 ,  8 )

Step-by-step explanation: IT'S NOT A OR D.. ig

1:    Recall that a function  from a set  to a set  is a relation that assigns to each element  in the set  exactly one element in the set . The set  is the domain (or set of inputs) of the function and the set  contains the range (or set of outputs).

The general characteristics of functions are:

A. Each element in A must be matched with an element in B.

B. Some elements in B may not be matched with any element in A.

C. Two or more elements in A may be matched with the same element in B.

D. An element in A (the domain) can not be matched with two different elements in B.

________________________________________________

Solving this problem we have:

1. The mapping diagram is represented in Figure 1. As you can see this is a function. Each element in A is matched with an element in B. All the elements in A are matched with the same element in B. So, this fulfills with the definition of function.

2. The mapping diagram is represented in Figure 2. This is not a function. Notice that an element in A (the domain) is matched with two different elements in B, that is, -8 is matched with -6 and 1.

2:    #1) This is a function.

#2) This is not a function.

(The mapping diagrams are not present to match to these.)

Explanation:

A function is a relation in which each element of the domain is matched to no more than one element of the range; in other words, no x gets mapped to more than 1 y.

In #1, no x is mapped to more than 1 y, so it is a function. However, in #2, -8 is mapped to both -6 and to 1; this x is used more than once, so this is not a function.

3:    what is the primary responsibility of the legislative branch

--------------------------------------------------------------------------------------------

it represents new mexico in foreign affairs

4:    Answer:

Option D is correct.

The relation {(-8, -6) (-5, 2) (-8, 1) (7, 3)} is not a function.

Step-by-step explanation:

Given the relation:  {(-8, -6) (-5, 2) (-8, 1) (7, 3)}

Domain is the set of all possible inputs of a relation i.e { -8, -5 , -8 , 7}

Range is the set of output values of a function i.e, {-6, 2 , 1 , 3}

The mapping as shown below in the figure:

A function is a relation in which every element of the domain is matched to not more than one element of the range.

In other words, we can say that ,no value of x gets mapped to more than 1 value of y.

Since, from the mapping you can see that the domain value -8  paired with -6 and 1;  as x is used more than once.

Therefore, this relation is not a function

The value of x in the parallel line is 11.

When parallel lines are cut with a transversal line, angle relationship are formed such as corresponding angles, alternate interior angles, alternate exterior angles, corresponding angles, vertically opposite angles etc.

Therefore, let's use the angle relationship to find the value of x .

Hence,

6x + 14 = 80(corresponding angles and vertically opposite angles)

6x + 14 = 80

subtract 14 from both sides of the equation

6x + 14 - 14 = 80 - 14

6x = 66

divide both sides of the equation by 6

x = 66 / 6

x = 11

Therefore,

x = 11

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔVWX

m∠V = 96° and m∠W = 39°

m < X = 180-96-39 = 45°

The greatest angle opposes the greatest side.

From longest to shortest

side WX, side VW, side VX

Answer:

D: find the average of 6.9 and 7.0

Step-by-step explanation:

The reason D is correct is that, 6.9 squared is around 47.6, and 7.0 squared is 49.0

48 falls between 47.6 and 49.0

So if you find the average between 6.9 and 7.0, you would then find the nearest hundredth estimate of the \(\sqrt{48}\)

Answer:

on the exam its A

Step-by-step explanation:

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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The probability that the red die shows a three and the blue die shows a number greater than three is 1/12

From the question, we have the following parameters that can be used in our computation:

Red die

Blue die

The sample space of a die is

{1, 2, 3, 4, 5, 6}

using the above as a guide, we have the following:

P(3) = 1/6

P(Greater than 3) = 1/2

So, we have

P = 1/2 * 1/6

Evaluate

P = 1/12

Hence, the probability of a three and and a number greater than three is 1/12

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Answer:

r = 0.0424 cm (3sf)

Step-by-step explanation:

it makes 150 rev/sec

1 revolution = 1 circumference = 2pi*r

so every second the spool goes through 2*pi*r*150 of distance

we know that the rate of pulling is 40cm/sec

so 2pi*r*150 = 40

r = 40/(2pi*150), which is 0.04244131816 cm.

check: Circumference is 2pi*r = 0.2666

now multiply by 150rev/sec = 40 cm/sec

Based on the spectral data provided, the unknown compound with exactly one oxygen atom could potentially be an aldehyde.

Aldehydes are organic compounds that contain a carbonyl group (C=O) bonded to a hydrogen atom and a carbon atom. The integration values obtained for the hydrogen atoms (1, 1, 1, 2, 3) suggest the presence of five hydrogen atoms in the compound. This aligns with the structure of an aldehyde, where one of the hydrogen atoms is bonded directly to the carbon atom of the carbonyl group.

Additionally, the strong peak observed around 1720 cm^−1 in the IR (infrared) spectrum indicates the presence of a carbonyl group. This peak corresponds to the stretching vibration of the C=O bond, which is a characteristic feature of aldehydes.

Based on these observations, a possible structure for the unknown compound can be drawn as follows:

      H

      |

   O = C

      |

      H

In this structure, the oxygen atom is bonded to a carbon atom, which is also bonded to a hydrogen atom. This arrangement satisfies the requirement of having exactly one oxygen atom and is consistent with the given spectral data for an aldehyde compound.

Aldehydes are versatile organic compounds used in various chemical reactions and synthesis processes. Identifying the presence of a carbonyl group and interpreting integration values provide valuable insights into the structure and potential properties of the unknown compound.

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The correct option is (c) 870.

The given curve can be represented as 8sin θ = r or r = 8sin θ. We can also say that θ is from 0 to π since the curve represents half of a circle, and it is symmetric around the y-axis.

Therefore, the area of the region R can be found by integrating the double integral over the region R.∫(θ=0 to π)∫(r=0 to 8sin θ) r dr dθ∫(θ=0 to π)∫(r=0 to 8sin θ) r dr dθ= ∫(θ=0 to π) [1/2 * r²] r=8sin θ to r=0 dθ= ∫(θ=0 to π) 1/2 * (8sin θ)² dθ= 32 ∫(θ=0 to π) sin² θ dθ

Now we need to use the double angle identity sin² θ = (1 - cos 2θ)/2, and put sin² θ in the form of cos 2θ.

∫(θ=0 to π) sin² θ dθ= 32 ∫(θ=0 to π) (1 - cos 2θ)/2 dθ= 32 [(θ/2) - (1/4) sin 2θ] θ=0 to π= 32 [π/2 - 0] - 0= 16π The area of the region R is 16π. Therefore, the correct option is (c) 870.

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Answer:

x= 25

Step-by-step explanation:

2x + 3 + 4x + 6 + 12x + 18 = 477

FIRST combine like terms

take all "x"

2+4+12= 18x

take all whole numbers

3+6+18= 27

18x+27= 477

now solve for x

-27 on both sides

18x= 450

÷18 on both sides

x= 25

yoi have to add the variables so 2x +4x+12x=18x and concombine like terms so 3 +6+18=27 so you have to put tbat together 18x+27=477 then you have to get x alone so you have to subtract 27 in both sides 27-27=0 then 477-27=450 then you have to do the oppsite of multiply so you have to divide 18x/18x and 450/18x 18÷18 is 1 so you just have to put x and then divide 450÷18=25 so x=25.

Answer:

32 feet.

Step-by-step explanation:

We can convert 7 yards to feet and add it to 11 feet to get the total distance in feet.

1 yard is equal to 3 feet, so 7 yards is equal to:

7 yards * 3 feet/yard = 21 feet

Adding 11 feet to this, we get:

21 feet + 11 feet = 32 feet

Therefore, 7 yards and 11 feet is equal to 32 feet.

Answer:

There are 32 feet in 7 yards and 11 feet.

Step-by-step explanation:

To find the answer, we need to convert yards to feet and then add them to the given feet. We can use the following conversion factor: 1 yard = 3 feet. Multiplying both sides by 7, we get: 7 yards = 21 feet. Adding 11 feet to both sides, we get: 7 yards + 11 feet = 21 feet + 11 feet. Simplifying, we get: 7 yards + 11 feet = 32 feet.

Answer:

=-1.66

Step-by-step explanation: