Averi walker paid off a 150-day note at 6% with a single payment, also known as a balloon payment, of $2,550. find the face value (p) and interest (i) for the simple interest note.

Answer:

The answer is "2.4 units "

Step-by-step explanation:

Please find the complete question:

\(EC = x\\\\\frac{5}{3} = \frac{4}{x}\\\\5x = 4(3)\\\\5x = 12\\\\x = \frac{12}{5}\\\\x = 2.4\)

Answer:

B. 2.4

Step-by-step explanation:

5/3 = 4/EC

EC = 4 (3/5) = 12/5 = 2.4

Using the values of f(x) at x = 0, 0.25, 0.5, 0.75, and 1.0, the estimated functional values of\(F(x) = e^(^-^x^)\) can be calculated. The derivatives of the spline can then be used to approximate f'(0.5) and f''(0.5), and these approximations can be compared to the actual values of the derivatives.

To estimate the functional values of F(x) =\(F(x) = e^(^-^x^)\) we substitute the given values of x (0, 0.25, 0.5, 0.75, and 1.0) into the function and calculate the corresponding values of f(x). Using 5-digit arithmetic, we evaluate \(e^(^-^x^)\) for each x-value to obtain the estimated functional values.

To approximate f'(0.5) and f''(0.5) using the derivatives of the spline, we need to construct a piecewise polynomial interpolation of the function F(x) using the given values. Once we have the spline representation, we can differentiate it to obtain the first and second derivatives.

By evaluating the derivatives of the spline at x = 0.5, we obtain the approximations for f'(0.5) and f''(0.5). We can then compare these approximations to the actual values of the derivatives to assess the accuracy of the approximations.

It is important to note that the accuracy of the approximations depends on the accuracy of the interpolation method used and the precision of the arithmetic calculations performed. Using higher precision arithmetic or a more refined interpolation technique can potentially improve the accuracy of the approximations.

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Answer:

- p / 2

Step-by-step explanation:

4 / -8 =   - 1/2

p^3 / p^2   = p

- 1/2  * p   =  - p / 2

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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\(\cfrac{2}{3}x\cdot \cfrac{4}{5}x\implies \cfrac{2x}{3}\cdot \cfrac{4x}{5}\implies \cfrac{8x^2}{15}\)

Answer: -4 and 10

Step-by-step explanation:

Answer:

It’s still 11.9

Step-by-step explanation:

Answer: The answer is option C: $17,925.00.

Step-by-step explanation: Using the simple interest formula:

I = Prt

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We can find the interest earned over the 6 years:

I = P * r * t = $15,000 * 0.0325 * 6 = $2,925

Adding the interest to the principal, we get the balance at the end of the 6 years:

Balance = Principal + Interest = $15,000 + $2,925 = $17,925

Therefore, the answer is option C: $17,925.00.

Answer:

  3 : 4 ratio of radii

  9 : 16 ratio of areas

Step-by-step explanation:

The ratio of radii is the same as the ratio of diameters:

  one : the other = 6 :8 = 3 : 4

__

The ratio of areas is the square of the ratio of radii:

  one : the other = 3² : 4² = 9 : 16

Answer:

5

Step-by-step explanation:

The ones place is the one most to the right that isn't after a decimal point.

Answer:

5, since it is all the way to the right

Step-by-step explanation:

if you ever have a big number, the number in thes ones place is ALWAYS on the far right, except if its a decimal !

i hope this helps !! :D

Answer:

yes they are equivalent. if you simplify -21/-56 by dividing it by 3 you will get -7/-21 which equals to 7/21

The margin of error for a 94% confidence interval for the mean score of all students is approximately 6.02.

Option A is the correct answer.

We have,

To find the margin of error for a 94% confidence interval for the mean score of all students, we can use the formula:

The margin of Error = Z x (Standard Deviation / √(n))

Where:

Z is the critical value corresponding to the desired confidence level (in this case, 94% confidence level).

Standard Deviation is the standard deviation of the sample.

n is the sample size.

We need to find the critical value Z first.

Since we want a 94% confidence interval, we need to find the value that leaves 3% (100% - 94% = 6% divided by 2) in the tails of the standard normal distribution.

This critical value can be obtained using a Z-table or a statistical calculator.

Using a Z-table, the critical value for a 94% confidence level is approximately 1.88.

Now, let's calculate the margin of error:

Margin of Error = 1.88 x (16.3 / sqrt(26))

The margin of Error ≈ 6.02 (rounded to two decimal places)

Therefore,

The margin of error for a 94% confidence interval for the mean score of all students is approximately 6.02.

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Given a population X with normal distribution with mean μ=79 and standard deviation σ=7

You have to calculate the probability of X greater than or equal to 93, symbolically:

To calculate this probability you have to "transform" this value to the standard normal distribution. You have to use the standard normal or Z distribution because it is tabulated, i.e. its values and accumulated probabilities are known.

To translate a value of any normal distribution to a value of the standard normal distribution you have to subtract the mean and divide by the standard deviation.

The standard normal distribution is defined as:

Calculate the Z value

So the probability you have to calculate is

Now the tables of the standard normal distribution indicate the accumulated probabilities, to determine the probability above a determined value, you have to subtract the probability accumulated until that value to the total probability.

Remember that for any distribution of probability, the total probability is always 1. So under The normal distribution or the standard normal distribution, the total area of under the curve is 1

In the Z table (right entry) look for the corresponding value of the probability

So

The probability of X is greater than or equal to 93 is 0.023

Answer:

5, 12, 13

Step-by-step explanation:

a² + b² = c²

c is the Hypotenuse (the triangle side opposite of the 90° angle). it is the longest side in a right-angled triangle.

a, b are the legs of the right-angled triangle.

so, they are Pythagorean rules, if the sum of the squares of the 2 smaller numbers is equal to the square of the largest number.

6² + 11² = 13²

36 + 121 = 169

157 = 169

wrong.

5² + 12² = 13²

25 + 144 = 169

169 = 169

correct.

5² + 10² = 13²

25 + 100 = 169

125 = 169

wrong.

Answer

5

Step-by-step explanation:

there are already 2 units in height therefore 2 plus 3 is 5

Based on the uninhibited growth model, we would predict that the population of Cary in 2001 would be approximately 101,656.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x.

The uninhibited growth model assumes that the population grows exponentially over time. We can use the formula for exponential growth to predict the population of Cary in 2001:

P(t) = P0*\(e^{(rt)}\)

where:

P(t) = the population at time t

P0 = the initial population

r = the growth rate

e = the mathematical constant e (approximately 2.71828)

t = the time elapsed since the initial population measurement

We can use the population measurements from 1980 and 1987 to estimate the growth rate:

P0 = 21763

P(1987) = 39387

t = 7 years

r = ln(P(1987)/P0)/t

r = ln(39387/21763)/7

r = 0.0935

Now we can use this growth rate to predict the population in 2001:

P(2001) = P0 * \(e^{(rt)}\)

P(2001) = 21763 * \(e^(0.0935*21)\)

P(2001) ≈ 101,656

Therefore, based on the uninhibited growth model, we would predict that the population of Cary in 2001 would be approximately 101,656.

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Answer:

\(y - 3 = - 4(x + 2)\)

Answer:1 terabyte=8et12

Step-by-step explanation:

Answer: 6.75 or 6 3/4

Step-by-step explanation: 3 3/8 x 2 = 6.75 Brainliest please?

Answer:

C

Step-by-step explanation:

If 2,000$ is to be given equally to 8 employees, dividing the 2,000$ by 8, gives you 250$. To confirm this answer, you would do 250$ × 8, which would equal the 2,000$.

You can also cut out answers D & E, due to them being too high, and answer A for leaving too much money left over. This leaves B & C, from there, just figure out which rounds up closer, or do the math.

The transition matrix from basis C to basis B in the vector space P2 can be obtained by expressing the basis vectors of C as linear combinations of the basis vectors of B.\(\left[\begin{array}{ccc}1&-1&1\\0&1&-2\\0&0&1\end{array}\right]\)

To find the transition matrix from basis C to basis B, we need to express the basis vectors of C (1, (x – 1), (x – 1)^2) in terms of the basis vectors of B (1, x, x^2). We can achieve this by writing each basis vector of C as a linear combination of the basis vectors of B and forming a matrix with the coefficients. Let's denote the transition matrix from C to B as T_CtoB.

For the first column of T_CtoB, we need to express the vector (1) (the first basis vector of C) as a linear combination of the basis vectors of B. Since (1) can be written as 1 * (1) + 0 * (x) + 0 * (x^2), the first column of T_CtoB will be [1, 0, 0].

Proceeding similarly, for the second column of T_CtoB, we express (x – 1) as a linear combination of the basis vectors of B. We can write (x – 1) = -1 * (1) + 1 * (x) + 0 * (x^2), resulting in the second column of T_CtoB as [-1, 1, 0].

Finally, for the third column of T_CtoB, we express (x – 1)^2 as a linear combination of the basis vectors of B. Expanding (x – 1)^2, we get (x – 1)^2 = 1 * (1) - 2 * (x) + 1 * (x^2), leading to the third column of T_CtoB as [1, -2, 1].

\(\left[\begin{array}{ccc}1&-1&1\\0&1&-2\\0&0&1\end{array}\right]\)

Thus, the transition matrix from basis C to basis B (T_CtoB) is:

Similarly, we can find the transition matrix from basis B to basis C (T_BtoC) by expressing the basis vectors of B in terms of the basis vectors of C.

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Answer:

35.92 m

Step-by-step explanation:

To have a better comprehension of the problem, we can draw it as in the image attached.

If we use the tangent relation in both triangles, we have:

tangent(35) = h/x

tangent(20) = h/(150-x)

From the first equation, we have:

x = h/tangent(35) = h/0.7

From the second equation, we have:

0.364 = h / (150 - h/0.7)

54.6 - 0.52h = h

1.52h = 54.6

h = 35.92 m

Answer: E

Step-by-step explanation:

(-3^2) multiply -3 by itself to get -9

Now you have -2 x -9 or -2(-9)

Remember that multiplying a negative by a negative will get you a positive because the two negative signs are canceled out.

So -2(-9) gives you 18

Hope this helps!

The home buyer saves $26,289 by choosing Loan A. The closest answer choice is $26,351.02.

From the question, we are to determine the amount the home buyer saves in total by choosing loan A

To calculate the savings, we need to find the total amount paid for both loans and then subtract the total paid for Loan A from the total paid for Loan B.

For Loan A:

M = $3,509.71

Total amount paid = 15 years x 12 months/year x $3,509.71/month = $631,748.20

For Loan B:

M = $3,659.86

Total amount paid = 15 years x 12 months/year x $3,659.86/month = $658,037.20

The difference between the two is:

$658,037.20 - $631,748.20 = $26,289.00

Hence, the amount the home buyer saves is $26,289

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Answer:

B. 11,427.00

Step-by-step explanation:

got it right on test

The length of FG is 40 units.

What are parallel lines?

Two or more lines that are consistently parallel to one another and that are located on the same plane are referred to as parallel lines. No matter how far apart parallel lines are, they never cross. The relationship between parallel and intersecting lines is the reverse. The lines that never meet or have any possibility of meeting are known as parallel lines.

Since FG is parallel to CD, triangles CDE and FGE are similar. Thus, we can set up the following proportion:

CE/CD = FG/FE

Substituting the given values, we get:

32/16 = FG/20

Simplifying the left side, we get:

2 = FG/20

Multiplying both sides by 20, we get:

FG = 40

Therefore, the length of FG is 40 units.

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Answer:

20%

Step-by-step explanation:The answer is minus 2.50 so if you plug 12.50 times .2 you get your answer

The percentage reduction is 20% if the cost of a garment was determined to be $12. 50.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The cost of a garment was determined to be $12. 50. You have been instructed to lower the cost to $10 per garment.

The difference in cost = 12.50 - 10

The difference in cost = $2.50

The percentage reduction = (2.50/12.50)100

The percentage reduce = 20%

Thus, the percentage reduction is 20% if the cost of a garment was determined to be $12. 50.

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Answer:

6.3

Step-by-step explanation:

56.6÷365=

6.3

The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

Hospitals collect a wide variety of data on patient health and medical procedures, including demographic information, diagnoses, procedures, and treatments.

This data can be very valuable to public health organizations like the CDC, which use it to better understand patterns and trends in disease and illness.

For example, the CDC might use hospital data to track the spread of a particular disease or to identify areas where certain types of illnesses are more common.

Hence, The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

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