Find the present value of $90,000 due in 5 years at the given rate of interest. (Use a 365-day year. Round your answer to the nearest cent.)
5%/year compounded daily

To be in the top 10% of the scores on the test, a minimum score needs to be determined. Given that the scores are normally distributed with a mean of 110 and a standard deviation of 19, the specific minimum score can be calculated.

To find the minimum score needed to be in the top 10% of the scores on the test, we can use the properties of the normal distribution. Since the distribution is assumed to be normal, we know that the top 10% of scores will fall within the upper tail of the distribution.
To calculate the minimum score, we need to find the z-score corresponding to the 90th percentile (or the 10th percentile in the lower tail). Using a standard normal distribution table or a statistical calculator, we can find that the z-score for the 90th percentile is approximately 1.28.
Next, we can use the formula for transforming a z-score into a raw score in a normal distribution:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation.
Plugging in the values, we have:
x = 110 + (1.28 * 19)
Calculating this, we find that the minimum score needed to be in the top 10% of the scores on the test is approximately 134.12. Therefore, a score of 134 or higher would place an individual in the top 10% of test scores.

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Answer:

-5

Step-by-step explanation:

7−2−10

=5−10

=-5

Answer:

-5

Step-by-step explanation:

You have to follow PEMDAS, so we would do parentheses, and 7-2 equals 5. Then we subtract 5-10 which equals -5.

Answer:

320

Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply together the width, length, and height. 16*5*4=320 cubic centimeters. Hope this helps!

Answer:

176 ounces (C)

Step-by-step explanation:

if you divide 48 by 3 it will give you 16 and there are 11 pints so u wanna multiply 16 and 11 to 176 ounces..

also i got it right on edge :P

Answer: 176

Step-by-step explanation:

The statement were False, true, true, false, true, false, true, true respectively.

a) False. A least-squares solution of Ax=b minimizes the squared residual norm ||Ax - b||². The equation A²x=b₄ implies that the squared residual norm is minimized with respect to b₄, not b. Thus, a least-squares solution of Ax=b may not necessarily be a solution of A²x=b₄.

b) True. If x is a solution of AT A = Ab, then multiplying both sides of the equation by AT gives us AT Ax = AT Ab. Since AT A is a symmetric positive-semidefinite matrix, the equation AT Ax = AT Ab is equivalent to Ax = Ab in terms of finding the minimum of the squared residual norm. Therefore, any solution of AT A = Ab is also a least-squares solution of Ax = b.

c) True. If A has full column rank, it means that the columns of A are linearly independent. In this case, the equation Ax = b has exactly one solution for every b, and this solution minimizes the squared residual norm. Therefore, Az = b has exactly one least-squares solution for every b when A has full column rank.

d) False. If Az = b has at least one least-squares solution for every b, it means that the columns of A span the entire column space. However, this does not imply that the rows of A span the entire row space, which is the condition for A to have full row rank. Therefore, the statement is false.

e) True. A matrix with orthogonal columns implies that the columns are linearly independent. If the columns of A are linearly independent, it means that the column space of A is equal to the entire vector space. Therefore, the matrix has full row rank.

f) False. A linearly independent set of vectors does not necessarily mean that the vectors are orthogonal. Linear independence refers to the vectors not being expressible as a linear combination of each other, while orthogonality means that the vectors are mutually perpendicular. Therefore, the statement is false.

g) True. If Q has orthonormal columns, it means that Q is an orthogonal matrix. The distance between two vectors a and y is given by ||a - y||, and the distance between their orthogonal projections onto the column space of Q is given by ||Qa - Qy||. Since Q is an orthogonal matrix, it preserves distances, and therefore the distance from a to y equals the distance from Qa to Qy.

h) True. If A = QR, where Q is an orthogonal matrix and R is an upper triangular matrix, then the rows of Q form an orthonormal basis for the row space of A. This is because the row space of A is equal to the row space of R, and the rows of R are orthogonal to each other. Therefore, the rows of Q form an orthonormal basis for Row(A).

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Answer:

1/2 is the slope

Step-by-step explanation:

Answer

x is the smallest angle so 12 is the answer.

Step-by-step explanation:

x + 2x + 4x + 6x + 7x + 10x = 360 degree (sum of exterior angles of a hexagon)

30x = 360

x = 360/30

x = 12

the smallest exterior angle of hexagon is 12 degree.

The measure of the smallest exterior angle is 12 degrees.

Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

A hexagon is a six-sided polygon or 6-gon creating the outline of a cube.

The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°.

We need to find the smallest exterior angle which is x.

we know that the sum of the exterior angles of any polygon is always equal to 360.

x° + 2x° + 4x° + 6x° + 7x° + 10x° = 360

30x=360

Divide both sides by 30

x=360/30

x=12

Hence, the measure of the smallest exterior angle is 12 degrees.

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Answer:

2.25

Step-by-step explanation:

The evolution of the function call (things '(11 -2 31)) is as follows:

(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().

The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.

Now, let's see the evolution resulting from the call (things '(11 -2 31)):

1. (things '(11 -2 31))

  Since the list is not empty, we move to the next if statement.

  The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(-2 31)).

2. (things '(-2 31))

  Again, the list is not empty.

  The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(31)).

3. (things '(31))

  The list is still not empty.

  The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '()).

4. (things '())

  The list is now empty, so the function returns an empty list.

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Answer:

Step-by-step explanation:

Ac=3.14*r^2

Ac=9*3.14=28.27

Answer: 7200

Step-by-step explanation: the formulae is w times l times h. So you just multiply them all together. 24x15x20= 7200

Answer:

110

Step-by-step explanation:

9514 1404 393

Answer:

  C.  2 2/5

Step-by-step explanation:

Put in the given value of y and solve for x.

  6 = 5x -6

  12 = 5x . . . . . . . . . add 6

  12/5 = x = 2 2/5 . . . divide by 5, express as mixed number

We have a normally distributed population with a mean of 75 and a standard deviation of 125. The probability of finding a female with a pulse rate smaller than 82 is given by the area under the curve of the corresponding normal distribution from negative infinte to 82. In order to find this area first we need to pass from our normal distribution to one with a mean value of 0 and a standard deviation of 1. In order to do this we do the following calculation:

So we take x=82:

This value is known as the z value. It indicates the value of 82 in the [0,1] normal distribution. The following step is to look for this value in a z-table. Since 0.05 is the closest smaller value to 0.056 in the table we choose it:

So for a z value of 0.05 the table give us the number 0.5199. This means that the area under the curve between negative infinite and 82 beats per minute is 0.5199*total area under the curve. This means that the probability to find a female with a pulse under 82 beats is 0.5199. As a percentage it would be 51.99%.

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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Answer:

-7     least

-2

0       To

3

5.   Greatest

Answer:

-7, -2, 0, 3, 5

Step-by-step explanation:

Answer:

c 3/2

Step-by-step explanation:

If the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.

Given that the rate of interest is 8.95%, loan amount is $2900 and the number of months is 11 and we have to assume each month be 1/12 of a year.

We are required to find the amount to be charged after 11 months.

Simple interest is basically calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Loan amount=$2900

Interest rate=8.95%

Months=11

Interest of 11 months=(2900*8.95*11/1200)

=$237.92

Total amount=$2900+237.92

=$3137.92

Hence if the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.

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One line in the question is wrong. The correct line that we have to assume each month be 1/12 of a year.

The critical value of the test statistic t for a lower tail hypothesis test with a sample size of 16 and a 0.10 level of significance is approximately -1.341.

In a lower tail hypothesis test, we need to determine the critical value of the test statistic t.

With a sample size of 16 and a significance level of 0.10, we first calculate the degrees of freedom as 16 - 1 = 15.

Using statistical tables or software, we find that the critical value for a one-tailed test with 15 degrees of freedom and a significance level of 0.10 is approximately -1.341.

This critical value serves as a threshold. If the calculated t-statistic falls below -1.341, we reject the null hypothesis in favor of the alternative hypothesis at the 0.10 level of significance.

It indicates the point at which the observed data would be considered statistically significant enough to support rejecting the null hypothesis in favor of the alternative.

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Answer:

false

Step-by-step explanation:

If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"

Answer: False

Step-by-step explanation:  When x is at least 2, x would be greater than or equal to 2.  X cannot be less than 2.  So, it should be x >= 2.

Hope this helped.

Answer:

3log152

Step-by-step explanation:

using the rule of logarithms

log\(x^{n}\) = nlogx

then

log152³

= 3log152

Answer:

A. There is no solution

Step-by-step explanation:

\(\frac{1}{3}\)(12x - 6) = 4x - 9

Evaluate.

4x - 2 = 4x - 9

Deduct 4x from both sides of the equation.

-2 = -9

Multiply both sides by (-1).

2 ≠ 9

Since 2 does not equal to 9, this equation does not make sense and thus does not have a solution.

Using direct variation, the value of x for equation y = 5/-3 (x) is 3/5 when y = -1

When x is not equal to zero, an equation of the form y = kx describes the linear function known as direct variation. When x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

Using direct variation,

y = kx

⇒ 5 = k(-3)

⇒ k = 5 / -3

for y = -1

y = 5/-3 (x)

⇒ -1 = 5/-3 × x

⇒ x = 3/5

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The set of the value for which the curve and line have no common point are is k ∈ (0 , 4).

The value for which the line is a tangent is k = 4.

The coordinates of the point where the line touches the curves is point of tangency = ( 1/2 , 2).

What is tangent?

Tangents in geometry are lines or planes that contact curves or surfaces at points where they are closer to the curve than any other lines or planes drawn through those points.

Given equations in the question:

y = kx² + 1  

y = kx

Equating y

kx² + 1   = kx

kx² -kx  + 1 =  0

This is Quadratic equation is of the form ax²+bx+c=0  where a  , b and c are real also  a≠0.

D =  b²-4ac is called discriminant.

and we know that,

D >0 roots are real and distinct

D =0 roots are real and equal

D < 0 roots are imaginary ( not real ) and different

For no common solution  D < 0

For tangent  D = 0

so,

kx² -kx  + 1 =  0

D = (-k)² - 4k  = k² - 4k = k(k - 4)

k(k - 4) < 0

if  0 < k < 4

Hence values of k for which the curve and the line have no common points is k ∈ (0 , 4).

for tangent

k(k - 4)  = 0

k is non zero

Hence k = 4

After putting the value of k, given equations are:

y = 4x² + 1  

y = 4x

solving these equations to get value of x and y:

4x² + 1   = 4x

4x² - 4x + 1 = 0

(2x - 1)² = 0

x = 1/2

y = 2

Point of tangency = ( 1/2 , 2)

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Angle 3 and Angle 8 form a linear pair.

Linear Pair is a pair of angles that form a straight angle.

A straight angle is 180 degrees.

Now,

We can write:

We know Angle 3 is 38, so we substitute and figure out Angle 8. Shown below:

Answer: 50%

Step-by-step explanation: math

The largest possible set that is a subset of both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} is {2, 4}. This is because these are the only numbers that appear in both sets.

Any larger subset would contain numbers that are not present in one of the sets, thus making it not a subset of both.
 To find a set of the largest possible size that is a subset of both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}, you need to identify the elements that are common to both sets. In this case, the elements are {2, 4}. Therefore, the largest possible subset is {2, 4}.

Sets are essentially a well-organized grouping of items. Sets may be represented as set builders or as rosters. The items that make up a set are referred to as the set's elements. These components can be combined to create a smaller set than the original set. For instance, if 'a' is a member of set A, it is written as follows:

A is equivalent to where is "belongs to".

However, if 'b' is not a part of A, we represent it as follows: b = A, where is the symbol for "doesn't belong to"

The term "subset" is analogous to terms like "subdivision," "subcontinent," etc. Due to the fact that the common part, "sub," is a prefix whose proper meaning in this context is creating a part from a whole.

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