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Ralph Chase plans to sell a piece of property for $135000. He wants the money to be paid off in two ways - a short-term note at 12% interest and a long-term
note at 9% interest. Find the amount of each note if the total aannual interest paid is $14250.

Answer:

Step-by-step explanation:

Hi

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer:

112.00

Step-by-step explanation:

140.00=100%

? =80%

80×140÷100=112.00

=$112.00

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

3/4 = 6/8

4 triangles but only 3 are colored so that is 3/4

8 triangles but only 6 are colored so that is 6/8

To find the maximum revenue, we can substitute \(p = 123\) into the revenue equation: the maximum revenue is $\(75,615.\)

To find the price that will maximize revenue, we need to find the value of p that corresponds to the maximum of the quadratic function \(R(p) = -5p^2 + 1230p.\)

One way to do this is to use calculus. We can take the derivative of R(p) with respect to p and set it equal to zero to find the critical point(s):

\(R'(p) = -10p + 1230\)

\(-10p + 1230 = 0\)

\(p = 123\)

So, the price that will maximize revenue is $\(123.\)

To confirm that this is a maximum, we can take the second derivative of R(p) and evaluate it at \(p = 123:\)

\(R''(p) = -10\)

Since  \(R''(123) = -10 < 0\)  , we know that  \(p = 123\) corresponds to a maximum.

To find the maximum revenue, we can substitute p = 123 into the revenue equation:

\(R(123) = -5(123)^2 + 1230(123) = $75,615\)

Therefore,  the maximum revenue is $\(75,615.\)

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Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.

a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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The value of the cash flows four years from today is $22,609.26.

The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.

The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.

The value of the cash flows four years from today is $22,609.26.

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The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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a) The expected May rainfall is 5.0 inches.

b) The probability of May rainfall falling within one standard deviation of the mean is 0.6827, and within two standard deviations is 0.9545.

(a) To calculate the expected May rainfall, we need to find the mean (μx) of the uniform distribution. The mean of a uniform distribution can be found using the formula:

μx = (a + b) / 2

where a and b are the lower and upper limits of the distribution, respectively. In this case, a = 2 and b = 8. So,
μx = (2 + 8) / 2
μx = 10 / 2
μx = 5

(b) To find the probability that the observed May rainfall will fall within one and two standard deviations of the mean, we first need to calculate the standard deviation (σx) of the uniform distribution. The formula for the standard deviation of a uniform distribution is:

\(σx = √((b - a)^2 / 12)\)

Using the values of a and b from before, we have:

\(σx = √((8 - 2)^2 / 12)\)
σx = √(36 / 12)
σx = √3

For a uniform distribution, the probabilities of falling within one and two standard deviations of the mean are as follows:

- Within one standard deviation (±1σx): 68.27% or 0.6827
- Within two standard deviations (±2σx): 95.45% or 0.9545

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The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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Two segments of lines or two angles are congruent if the have the same length and the same measure, respectively. In a parallelogram, a geometric figure which opposite sides are parallel, opposite sides are congruent and opposite angles are also congruents.

In this case CD is opposite to AB, so they are congruent and have the same length. Since the segment AB measures 2a and the segment CD mesures 34, then we have the equation

Similarly, the angles A and C are congruent since they are opposite, so their measurement is the same. Since the angle A measures 8b and the angle C measures 112, then we have the next equation

Answer:

The total area of the flag was 394 square inches.

Step-by-step explanation:

Given that Rainey's group designed a flag, and they used 234 square inches of green fabric, twice as much green fabric as orange fabric, and 3 times as much green fabric as yellow fabric and they had 35 sq inches of yellow fabric left, to determine the total area of the flag the following calculation must be performed:

234 + 234/2 + (234/3 - 35) = X

234 + 117 + (78 - 35) = X

234 + 117 + 43 = X

234 + 160 = X

394 = X

Thus, the total area of the flag was 394 square inches.

Answer:

Step-by-step explanation:

Rainey’s group designed a flag shown for the class project. The flag was made up of Green, Orange and Yellow fabrics.

Green fabric = 234 square inches

( given in the description)

Green fabric = 2 x Orange fabric

(Twice as much Green as Orange)

So Orange fabric = 1/2 X Green fabric (half of green fabric)

Green fabric = 3 x Yellow fabric

( 3 times as much green as yellow)

So Yellow fabric = 1/3 X Green fabric ( one third of Green fabric)

After making one flag Rainey’s group has 35 square inches of yellow fabric left. To determine the total area of the flag that left over 35 square inches have to subtract.

Now add up all the fabrics and then subtract the left over yellow fabric to get the total area of the flag.

Total area of the flag = Green fabric + Orange fabric + Yellow fabric - left over fabric

So Total area of flag = 234 square inches + 234/2 square inches + 234/3 square inches - 35 square inches

= 234 + 117 + 78 - 35 square inches

= 234 + 117 + 43 square inches

= 394 square inches.

So the total are of the flag is 394 square inches.

This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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If  Its return on sales is 5 percent. Sharpe’s return on shareholders' equity is 8.26%.

First step is to find the fixed asset

Fixed asset = $1,870,000 + $667,000

Fixed asset = $2,537,000

Second step is to find the sales

Sales = Total assets × Fixed asset turnover

Sales =  $2,537,000 × 1

Sales = $2,537,000

Third step is to find the stockholder equity

Stockholder equity =  $1,870,000 - $335,000

Stockholder equity = $1,535,000

Fourth step is to find the net income

Net income =  $2,537,000 × 5%

Net income = $126,850

Now let find the return on shareholders' equity

Return on shareholders' equity = Net income / Shareholders' equity

Return on shareholders' equity =  $126,850 /$1,535,000

Return on shareholders' equity = 8.26%

Therefore 8.26% is the return on shareholders' equity.

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Answer: 69 square meters

Step-by-step explanation:

Answer:

45820

Step-by-step explanation:

the "10" means adding 1 zero to "4582" in place value

Hundred Thousand= 4

Thousand= 5

Hundred= 8

Tens= 2      

Units= 0

This question is incomplete, the complete question is;

As the junior public health epidemiologist in a large state in the Midwest Rust Belt, you have been asked by your supervisor to assist her in updating the statistics on opioid deaths. She is also asking for your help in writing a brief report describing the current situation for the annual report on drug abuse.

- In 2015, there were 3050 drug-related deaths, of which 2950 involved opioids, What percent of the deaths were due to opioids? Express your answer in the following format: XX.XX% (e.g., 54.81%).

- Because the population size may change over time, you also decide to look at rates, which for drug overdose are generally expressed as deaths/100,000 residents. The state population for 2015 was estimated at 11,620,000.Calculate the rate of drug overdose deaths.

Answer:

the rate of drug overdosedeaths is 27 per 100,000 residents

Step-by-step explanation:

Given that;

3050 drug-related deaths in 2015,

Deaths due to opioids in 2015 is 2950

percentage = (2950 / 3050) × 100 = 96.72%

therefore

percentage of the deaths that were due to opioids in 2015 is 96.72%

-

we know that

State population for 2015 =  11,620,000

Number of drug-related deaths in 2015 = 3050

Death rate is number of deaths recorded divided by the number of population, and then multiplied by 100,000 as in the question

so

Rate of drug overdose = (3050 / 11620000) × 100,000

=26.25 ≈ 27 per 100,000 residents { since of person can't be decimal)

therefore

the rate of drug overdosedeaths is 27 per 100,000 residents

Answer:

D . P(x)=-0.5

Step-by-step explanation:

i think please mark my answer as a brainliest answer and follow me.

Answer:

52, 32, -3, 43. -2 is also an integer, check the note below.

Step-by-step explanation:

First, let's define integer number: An integer is any number that can be written without the need of using a fractional component (division symbol, period, etc).

Hence, the answers should be:

52, 32, -3, 43.

Note. I'm not sure if the square root next to "4-" is empty or if the -2 is supposed to be under the root. In case the -2 is not under the square root, -2 is also an integer.

Answer:

= 5x-5y

Step-by-step explanation:

Multiply 5to x and y

Answer:

5x-5y

Step-by-step explanation:

multiply both the terms x and y by 5.