Please help 100 points!!

The rate of interest  for the given data can be found as 6%.

Simple interest can be defined as a form of interest in which the percent rate is applied on the same principal for a given period of time. The amount can be calculated by adding the interest to the principal.

The given data as per the question is as below,

P = $4000, t = 6 years and Interest = $1440.

Suppose the rate of interest be r% per annum.

Substitute all the values in the expression for simple interest (P × r × t)/100 as follows,

1440 = (4000 × 6 × r)/100

⇒ r = 6%

Hence, the rate of interest is obtained as 6%.

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The line integral of the vector field in the figure is zero. This is due to the fact that the vector field is perpendicular to the curve c, and therefore, the integral of the dot product of the vector field and the tangent vector along the curve c is zero.

1. The line integral of a vector field is the integral of the dot product of the vector field and the tangent vector of the curve along the curve.

2. The vector field in the figure is perpendicular to the curve c.

3. The dot product of two perpendicular vectors is zero.

4. Therefore, the integral of the dot product of the vector field and the tangent vector along the curve c is zero.

5. Hence, the line integral of the vector field in the figure is zero.

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the impact on the error probability of part is on  Decreasing trends of the test procedure

A Type II error is when we fail to reject a false null hypothesis. Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error.

The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error (rejecting a true null hypothesis).

So using lower values of α can increase the probability of a Type II error.

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The function that models the data in the given table is: D. y = -2x + 10.

The function that models the data of a table can be expressed in the slope-intercept form as y = mx + b, where:

Find the slope of the function using two pairs of values from the table, (6, -2) and (10, -10):

Slope (m) = change in y / change in x = (-10 - (-2)) / (10 - 6)

Slope (m) = -8 / 4

Slope (m) = -2

Find the y-intercept (b) by substituting m = -2 and (x, y) = (6, -2) into y = mx + b:

-2 = -2(6) + b

-2 = -12 + b

-2 + 12 = b

10 = b

b = 10

To write the function, substitute m = -2 and b = 10 into y = mx + b:

y = -2x + 10

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Answer:

Step-by-step explanation:

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xddd

Answer:

2nd option, [ An expected height of 150 centimeters when the femur has a length of 37.7 ]

Step-by-step explanation:

y is a scale for height

x is a scale for femur length

BUT, the difference between the 2nd and 4th answer is in the words "expected" and "actual."

The reason the correct answer includes the word "expected" is because we are looking at THE LINE OF BEST FIT that is plotted on the graph. This line represents what we expect based on the relationship between the two variables

The dots represent REAL DATA that has been recorded.

Answer:

There's 413.1ml of liquid in the bottle

Answer:            

Step-by-step explanation:

The confidence interval for the given poll is; 51% to 57%

We are given that;

Sample proportion; p = 54% = 0.54

Margin of error; E = 3% = 0.03

Now, formula for confidence interval of proportions is;

p ± E

where;

p is sample proportion

E is margin of error

Thus;

CI = 0.54 ± 0.03

CI = (0.54 - 0.03), (0.54 + 0.03)

CI = (0.51, 0.57)

We conclude that the confidence interval is CI = (0.51, 0.57)

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We can begin by rewriting the problem:

3/4 - 1/2p > 5/4

Let’s solve accordingly through steps:

1. Subtract 3/4

-1/2p > 2/4

2. Divide both sides by the coefficient

-1/2 / -1/2 = p

2/4 / -1/2 = -1

3. Simplify & Switch Signs

p < -1

The answer to Part A is p < -1.

Part B: On a number line, this answer would be graphed by plotting a point at -1 and drawing an arrow that goes to the left direction to show that p is less than -1.

The total calories from the ice cream are 302 kcal when a scoop of quality ice cream has 5 grams of protein, 21 grams of carbohydrate, and 22 grams of fat.

A vital component of wellbeing and growth is nutrition. Strengthened immune systems, safer pregnancies and deliveries, a decreased risk of non-communicable diseases, and longer life spans are all associated with better nutrition. Healthy kids learn more effectively.

calculation

Since we know that every gram of protein includes 4 kcal, 5 g will have 5 × 4 = 20 kcal.

According to our knowledge, each gram of carbohydrate carries 4 kcal, so 21g will contain 21 x 4 = 84 kcal.

Given that each gram of fat has 9 calories, 22 grams will have a caloric value of 22 x 9 = 198 calories.

20 + 84 + 198 = 302 kcal are the total calories from the ice cream.

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Answer: x = 9 (I think)

Step-by-step explanation:

3x - 7 + 7 = 3x

20 + 7 = 27

3x = 27

3x ÷ 3 = x

27 ÷ 3 = 9

x = 9

Answer:

{ No SIMPLIFIED: [tex]\frac{9}{12} inches[/tex] }
{ SIMPLIFIED: [tex]\frac{3}{4} inches[/tex] }

Step-by-step explanation:

If we want to know about the plant grows, we need to add the fractions in 3 weeks with this solution:
[ The inch of the plant 1st week ] + [ The inch of the plant 2nd week ] + [ The inch of the plant 3rd week ] = [ The inch of the plant in 3 weeks ]

Look at the denominator of 3 weeks, it is 12 and the numerators are 1,3,5
To plus the fraction we remain the denominator and plus the numerators together which we can result in this equation:
[tex]\frac{1}{12}[/tex] + [tex]\frac{3}{12}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{1 + 3 + 5}{12}[/tex] = [tex]\frac{9}{12}[/tex] { SIMPLIFIED: [tex]\frac{9 : 3 }{12 : 3} = \frac{3}{4}[/tex] }
So then we see that if you choose no simplified then: Michael's plant grow  [tex]\frac{9}{12}[/tex] inches in 3 weeks or you could choose the simpliflied one then: Michael's plant grow [tex]\frac{3}{4}[/tex] inches in 3 weeks.

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Answer:

A)

Step-by-step explanation :

This question isn't too hard, but you would have to use similar triangles.

The graph is a parabola with its touching the x-axis at (3,0)

A parabola is a curve where any point is at an equal distance from:

a fixed point (the focus ), and

a fixed straight line (the directrix )

its general equation is y = a(x – h)² + k or x = a(y – k)² +h. Here (h, k) denotes the vertex. y = a(x – h)2 + k is the regular form. x = a(y – k)2 +h is the sidewise form.

Given here (x-3)² + 4 = -4/9(x(x-6))

simplifying this we get

9(x²-6x+13) = -4 (x(x-6))

13x²-78x+117 = 0

(x-3)² = 0

thus it has a root at x=3

The graph is attached showing the parabola  touching the x-axis at (3,0)

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Answer:

4

Step-by-step explanation:

gradient = slope = m = rise / run

  from the origin (0,0) this line rises '12' and has a run of '3'

             12/3 = 4

The missing number is equal to 42

Let the missing number be 'x'

Therefore, we have the equation as

[tex]\frac{2}{35} = \frac{1}{30} + \frac{1}{x}[/tex]

Solving this equation further, we have

[tex]\frac{1}{x} = \frac{2}{35} - \frac{1}{30}[/tex]

Taking L.C.M. on R.H.S. side, we have

[tex]\frac{1}{x} = \frac{(2)(30) - (1)(35)}{(30)(35)}[/tex]

[tex]\frac{1}{x} = \frac{60 - 35}{1050}[/tex]

[tex]\frac{1}{x} = \frac{25}{1050}[/tex]

[tex]\frac{1}{x} = \frac{1}{42}[/tex]

On cross multiplying this equation, we get
[tex]x = 42[/tex]

Therefore, we can say that the missing number is equal to 42.

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Approximately 50% percentage of people age 65 or older take at least five prescription medicines daily in the United States.

In the United States, approximately 50% percentage of people aged 65 or older take at least five prescription medicines daily. This figure is based on data from the Centers for Disease Control and Prevention (CDC) which track and analyze the health and healthcare of the US population. The CDC found that in 2015, those ages 65 or older reported taking an average of 14.7 prescriptions per person, which is an increase from the average of 13.7 prescriptions per person in 2010. Of those aged 65 or older, 50% reported taking at least five medications daily, while 25% reported taking at least 10 medications daily. The data also showed that seniors were more likely to take multiple medications if they had chronic conditions such as diabetes, high blood pressure, and heart disease. This highlights the importance of closely monitoring and managing medication use, especially among seniors, to ensure that their medications are appropriate and safe.

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Fred's pay for the specified week, with a rate of $11.25 for regular hours and time and a half for overtime, and number of hours worked of 48.5 hours is presented by completing the attached table as follows;

Rate: $11.25, regular hours: 40, overtime: N/A, total: $450

Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375

Gross: $593.4375

A payment rate is the amount of payment or money that is received in a unit of time.

The amount Fred earns per hour = $11.25

The number of regular hours Fred works per week = 40

The rate at which he is paid for overtime = Time and a half

The number of hours Fred works in the specified week = 48.5 hours

Therefore, the amount Fred earns for working overtime = 1.5 × $11.25 = $16.875

The amount Fred earns for regular hours during the specified week = 40 × $11.25 = $450

The number of overtime hours Fred works for during the week = 48.5 - 40 = 8.5

The amount Fred earns for the overtime work = 8.5 × $16.875 = $143.4375

Fred's gross payment for the week is therefore; $450 + $143.4375 = $593.4375

The table can therefore be completed by plugging in the above values as follows;

Rate: $11.25, regular hours: 40, overtime: N/A, total: $450

Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375

Gross: $593.4375

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Answer:

x( x-4)(x+2)

Step-by-step explanation:

x^3-2x^2-8x

First factor out the greatest common factor x

x( x^2 -2x -8)

What 2 numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

x( x-4)(x+2)

The gradient vector field of f is ∇(f) = (xi+yj)/√(x^2+y^2) ans sketch is given below.

In the given question, we have to find the gradient vector field of f and sketch it.

f(x,y)= √(x^2+y^2)

To find the gradient, it's just the partial derivatives for x and y

∇(f) = ∂f/∂x i + ∂f/∂y j

In this case, we have

∂f/∂x = x/√(x^2+y^2) and ∂f/∂y = y/√(x^2+y^2). So

∇(f) = x/√(x^2+y^2) i + x/√(x^2+y^2) j

We can write it as

∇(f) = (xi+yj)/√(x^2+y^2).

This is a unitary vector field everywhere, with the exception of the origin, where it is undefined, where we can see it as the vector xi+yj divided by the magnitude √(x^2+y^2). From the starting point, the direction is outward.

The sketch is given below:

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Answer:

[tex](4,-3)[/tex]

Step-by-step explanation:

The solution is where the graphs intersect.

The rate of change of S for the weekly sales is :

-250 000e⁻°·⁵t

Given:

the sales of the product is :

S = 500,000e^-0.5t

where S is the weekly sales in the dollars and t is the number of weeks since end of the campaign.

we are asked to find the rate of sales dS/dt = ?

that is the rate of sales of delay.

Given:

S = 500,000e^-0.5t

dS/dt =(500,000)e^-0.5t + 500,00 (e^-0.5t)

= 0 +  500,00 (e^-0.5t)

= - 250 000 e^0.5t

therefore, dS/dt = - 250 000 e^0.5t

Hence we get the required answer.

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M will increase from 24 to 56

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. It is symbolised by the proportional sign ().

According to the direct proportion formula, if y is directly proportional to x, we can state that y = kx, where k is a constant. Y = kx also serves as the direct proportion equation's general form.

When one quantity increases or declines, the other quantity also rises or falls in direct proportion. On the other hand, in indirect or inverse proportion, if one quantity rises, the other one falls, and vice versa.

m= 8p

When p = 3        

 m =3 × 8 =24

When p = 47      

  m=8× 7 = 56

So M will increase from 24 to 56

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The z-score to the nearest tenth for the following blood pressure readings is 45.14%.

What is blood pressure ?

The force of moving blood exerted on the walls of blood arteries is known as blood pressure. The heart's action of pumping blood through the circulatory system is mostly responsible for this pressure. The pressure in the major arteries is meant when the word "blood pressure" is used without qualifier.

As the data is normally distributed we can use standard normal z table to estimate the answers.

Z = (x-mean)/s.d

Given mean = 121.

S.d = 15.

P(X<142).

Z = (142-121)/15 = 1.4

From z table,

P(z<1.8) = 0.9641 ~ 96.41%

P(X>130).

Z = (130-121)/15 = 0.6

From z table,

P(z>0.6) = 0.8849

P(112<X<130) = P(X<130)-P(X<112).

P(X<130).

Z = (130-121)/15 = 0.6

From z table,

P(z<0.6) = 0.7257

P(X<112).

Z = (112-121)/15 = -0.6

From z table,

P(z<-0.6) =0.2743

Required answer is 0.7257-0.2743 = 0.4514 ~ 45.14%

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Answer:

You buy the following from Best Buy:

1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20

What is the Subtotal:

You use your Elite Members Best Buy credit card to save 6%, how much do you save:

What is the new Subtotal: $

Sales tax is 5%: $

What is the total: $

Step-by-step explanation:

To calculate the change in temperature from 8 a. m. to 4 p. m., time we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. 7.22°C - 3.3°C = 4.92°C Therefore, the change in temperature from 8 a. m. to 4 p. m. is 4.92°C.

To calculate the change in temperature from 8 a. m. to 4 p. m., we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. The temperature at 8 a. m. was 3.3°C, and the temperature at 4 p. m. was 7.22°C. Subtracting 3.3°C from 7.22°C gives the change in temperature of 4.92°C. To calculate the change in temperature from 8 a. m. to 4 p. m., we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. 7.22°C - 3.3°C = 4.92°C This means that the temperature increased by 4.92°C from 8 a. m. to 4 p. m. by time . The answer to the question is 4.92°C.

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This confidence interval suggests that we are 90% confident that the population mean lies between $273 and $658.

This confidence interval provides us with an estimate of the population mean with 90% confidence. This confidence interval suggests that we are 90% confident that the population mean lies between $273 and In other words, we can be 90% sure that the population mean falls within this range. This confidence interval does not tell us the actual population mean, but it provides us with an estimate of where the population mean is likely to lie. Furthermore, it also provides us with an indication of the degree of uncertainty associated with our estimate.

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Answer:

sorry I don't know now how to read