Stephanie has 10,000 she wants to put in a certificate of deposit (CD) account, so she can make the most interest on her money. She found a bank near her that pays 2% on cds and also compounds interest quarterly.

How much will Stephanie have in her CD account after 6 months at the bank?

How much would Stephanie have in her account after 6 months interest was not compounded, and the bank only used a simple interest formula to calculate?

What observation can you make about the difference between simple and compound interest when it comes to your money in the bank?

Answer:

She can make 2 bags of 4, and she will have 3 bananas left.

Step-by-step explanation:

4 + 4 + 4 = 12; that is 1 banana too many since she only has 11 bananas.

She has 11 bananas, so she has 4 + 4 + 3 = 11.

She can make 2 bags of 4, and she will have 3 bananas left.

Answer:

The answer is -285

Step-by-step explanation:

The answer is C. 1/10 of a centimeter.

The x-coordinates of the points of intersection of the given function graphs are;

1) x = 0 and x = 2

2) x = -1

3) x = 0

The point of intersection of a graph is defined as the point or coordinates where two lines or curves meet each other.

1) In the first graph, we are given the functions as;

f(x) = -³/₄x² + 3x + 1

g(x) = 2ˣ

Thus;

From the graph, f(x) = g(x) is at (2,4 and (0, 1)

2) In the first graph, we are given the functions as;

f(x) = x² + 4x + 2

g(x) = (¹/₂)ˣ + 1

Thus;

From the graph, f(x) = g(x) is at (-1. 3)

C) In the third graph, we are given the functions as;

f(x) = -⁷/₃x - 3

g(x) = 2ˣ - 4

Thus;

From the graph, f(x) = g(x) is at (0, -3)

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Answer:

1) sixty-eight million, six hundred and thirty-four thousand

2) acute triangle

3) 6

4) either 4 inches if it is one inch long or 8 inches if 2 long

5) 162

I really need brainliest please

Answer:

I believe rational

Step-by-step explanation:

Have a brainly day :D

The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.

According to the statement

we have given that the Of all the yoga students in a particular area, 20% study with Patrick and 80% study with Carl. We also know that 8% of the yoga students study with Patrick and are female, while 66% of the students study with Carl and are female.

And we have to find that the probability that a randomly selected yoga student is female, given that the person studies yoga with Carl.

So, For this purpose,

Let p- Patrick , c-Carl  and f-female

And we have given that the

P(p) = 20% = 0.2

P(c) = 80% = 0.8

P(p ∩ f) = 8% = 0.08

P(c ∩  f) = 66% = 0.66

Then

We have to find conditional probability where yoga student is female , given that the person studies yoga with Carl

It become according to conditional probability formula:

P(f/c) = P(c ∩  f) / P(c)

Substitute the values in it then

P(f/c) = 0.66 / 0.8

P(f/c) = 0.825

Approximately 0.83.

So, The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.

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Answer:

12.6 miles I think. I would wait for another answer to be possitive.

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

im pretty sure its A = 10

Answer:

x + y = -13

Step-by-step explanation:

The equation of a line is y=mx+c

Line x+3y-9=0

Let's rearrange.

3y= -x+9

Divide both sides by 3.

3y/3 = -x/3 +9/3

y= -x/3 + 3

The gradient is the coefficient of x which is -1/3.

Therefore, m1 = -1/3

Where m1 is the gradient of the first line.

When two lines are parallel, their gradients are equal.

Therefore m1=m2

Where m2 is the gradient of the second line.

Therefore m2=-1/3

Now, we need to find c.

(2,-5)

Here, x=2, y=-5

y=mx+c

-5 = -1/3(2) + c

-5 = -2/3 + c

-5 + 2/3 = c

This can also be written as...

c = -5 +2/3

The LCM is 3.

The addition will give -13/3.

Now, let's create the equation We have m2 and c.

y = mx + c

y = -1/3(x) + (-13/3)

Take note of the signs, (+), and (-).

y = -x/3 - 13/3

Multiply both sides by 3 to remove the denominators.

(3)y = (3)-x/3 - (3)13/3

y = -x - 13

Or

x + y = -13

I hope you understand. Please give brainliest, thank, and rate 5 stars. thanks.

The matrix A is not diagonalizable, and in this solution,

we will demonstrate this:

Given matrix A: 3 2 22 03 2 0 0

STEP 1:

Use the fact that the matrix is triangular to write down the eigenvalues. (Enter your answers from smallest to largest.) | 2,3

Since the matrix is upper triangular, the eigenvalues are located on the diagonal and are 3 and 2.

STEP 2: Find the eigenvectors X₁ and x₂ corresponding to ₁ and ₂, respectively.

To obtain the eigenvector X1 corresponding to λ1 = 3,

solve the following system of linear equations:

(A - λI)X1 = 0,

where λ1 = 3.A - λ1 I =| 0,2 22 0,2 -3||(x, y, z)|= (0,0,0)

Solving this system of linear equations yields x = 0, z = 0, y is free.

Therefore, the eigenvector X1 is given as follows:

| 0 |- X1 = |1| |- 1|

To obtain the eigenvector X2 corresponding to λ2 = 2,

solve the following system of linear equations:

(A - λI)X2 = 0,

where λ2 = 2.A - λ2 I =| 1,2 22 1,-2 -2||(x, y, z)|= (0,0,0)

Solving this system of linear equations yields x + 2y + 2z = 0.

Therefore, the eigenvector X2 is given as follows:

|-2| |- 1| X2 = |1| |- 0|

STEP 3: Since the matrix does not have three linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable. Since there are only two linearly independent eigenvectors, we can conclude that matrix A is not diagonalizable.

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

The 95th percentile of the variance of a random sample of size 15 from a normal population with a variance of 3 is approximately 23.685.

In the parlance of statistics, a data set is said to be normally distributed when the distribution curve is vertically symmetrical about the mean value and the values of mean, median and mode are same. One can empirically determine any percentile value for sample or population having such distribution.

We have the information from the question:

Variance of a normal population is 3

Sample size is 15

To find the 95th percentile of the chi-square distribution with 14 degrees of freedom.

The sampling distribution of the variance follows a chi-square distribution, with degrees of freedom equal to n-1, where n is the sample size.

Therefore, the sampling distribution of the variance will be a chi-square distribution with 14 degrees of freedom:

df = n-1

df = 15 - 1

df = 14.

By using the chi- square calculator :

Using a chi-square table or calculator:

We find that the 95th percentile of the chi-square distribution with 14 degrees of freedom is approximately 23.685.

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Answer:

is this answer correct?

let me know in comment section below!

Step-by-step explanation:

hope you liked it!

The dimensions of the scale drawing is length = 168 inches and width = 126 inches

Scale drawing helps to represent surfaces on earth in a paper by either enlarging its dimension, reducing its dimension by a constant factor called the scale factor.

The conversion or scale factor is 21 inches = 4 meters

If 21 inches = 4 meters,

then 1 meter = 21/4 inches

32 meters inches = 32 x 21/4 = 168 inches

24 meters = 24 x 21/4 = 126 inches.

In conclusion, length of the scale drawing is 168 inches and width of the scale drawing iss 126 inches

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The height of the statue is given by the similar triangles and x = 2.667 m

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangles be represented as ABC and CDE

Now , the triangles ABC and CDE are similar

Let the height of the statue be = measure of AB = x

Now , the height of Patty = measure of CE = 1.6 m

Let the distance between Patty and mirror be CE = 2.4 m

Let the distance between mirror and base of statue BC = 4 m

And , corresponding sides of similar triangles are in the same ratio

Substituting the values , we get

AB / CE = BC / CE

x / 1.6 = 4 / 2.4

Multiply by 1.6 on both sides , we get

x = ( 4 x 1.6 ) / 2.4

x = 4 ( 2/3 )

x = 2.6667 m

Hence , the height of the statue is 2.6667 m

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Given:

The graph of a function.

To find:

The range of the graphed function.

Solution:

We know that, the domain is the set of x-values and range is the set of y-values values.

From the given graph it is clear that the functions is defined for all real values of x.

\(f(x)\to -\infty\text{ as }x\to -\infty\)

\(f(x)\to 2\text{ as }x\to \infty\)

The values of the function lie in the interval \(-\infty<y<2\).

Range of the function \(=-\infty<y<2\)

Therefore, the range of the graphed function is \(-\infty<y<2\) and the correct option is A.

The expected value of the number of albino panthers is 5

The standard deviation of the number of albino panthers is 2.09

Given that albino panther is born once every 8 years, probability p, of one albino to be born in 8 years is 1/8

Expected value=n*p, where n is 40 years, and p=1/8

                        =40*1/8

                        =5 albino panthers

Hence, the expected value is 5 albino panthers

Standard deviation=(Expected value*(1-p))^1/2

                               =(5*(1-1/8))^1/2

                               =4.375^1/2

                               =2.09

Hence, standard deviation is 2.09

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The percentage occupied by fresh water on Earth is 47%. The pH of the solution with H+ concentration 0.08606951774271 M is 1.1.

To calculate the percentage of fresh water on Earth, we can subtract the percentage of water in the oceans (53%) from 100%. This gives us 47%, which represents the percentage occupied by fresh water.

The pH of a solution is a measure of its acidity or alkalinity. It is determined by the concentration of hydrogen ions (H+) in the solution. In this case, the H+ concentration is given as 0.08606951774271 M. The pH scale ranges from 0 to 14, with values below 7 indicating acidity and values above 7 indicating alkalinity. By calculating the negative logarithm (base 10) of the H+ concentration, we find that the pH of the solution is approximately 1.1.

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The symmetric equations for the line passing through P(-1, -1, -3) and Q(2, -5, -5) are:

x + 1 ,y + 1 ,z + 3

3 -4 -2

The parametric equations for the line are:

x = 5 - 6t

y = -1 + 5t

z = -5 - 5t

Symmetric equations for the line through the points P(-1, -1, -3) and Q(2, -5, -5), we can first find the direction vector of the line by taking the difference between the coordinates of the two points:

Direction vector: Q - P = (2, -5, -5) - (-1, -1, -3) = (2 + 1, -5 + 1, -5 + 3) = (3, -4, -2)

Now, we can write the symmetric equations using the direction vector and the coordinates of one of the points (P):

x - (-1), y - (-1) ,z - (-3)

3 -4 -2

Simplifying the equations, we get:

x + 1, y + 1 ,z + 3

3 -4 -2

Parametric equations for the line through the point P(5, -1, -5) parallel to the vector -6i + 5j - 5k, we can use the following form:

x = x₀ + at

y = y₀ + bt

z = z₀ + ct

where (x₀, y₀, z₀) are the coordinates of the given point, and (a, b, c) are the components of the parallel vector.

Substituting the values, we have:

x = 5 + (-6)t

y = -1 + 5t

z = -5 + (-5)t

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Please mark me as brainliest ❤️

Answer:

Yeah it's 14, but you can mark the other person brainliest

Step-by-step explanation:

The Paraboloid z=x2 y2 for 0≤z≤4 holds more water than the hyperboloid z=1 x2 y2 and the cone z = x^2 y^2 when filled to a depth of four units.

To determine which bowl holds more water when filled to a depth of four units, we need to calculate the volume of each shape between z=0 and z=4.

For the paraboloid z=x^2+y^2, we have

V = ∫∫(0≤z≤4) √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA

= ∫∫(0≤z≤4) √(1 + 4x^2 + 4y^2) dA

= ∫(0≤θ≤2π) ∫(0≤r≤2) √(1 + 4r^2) r dr dθ

= π(17^(3/2) - 1)/3

For the cone z = √(x^2 + y^2), we have

V = ∫∫(0≤z≤4) √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA

= ∫∫(0≤z≤4) √(1 + 1/(1+z^2)) dA

= ∫(0≤θ≤2π) ∫(0≤r≤4sinθ) √(1 + 1/(1+(rsinθ)^2)) r dr dθ

= (π/6)(17√17 - 1)

For the hyperboloid z = 1 + x^2 + y^2, we have

V = ∫∫(1≤z≤5) √(1 + (∂x/∂z)^2 + (∂y/∂z)^2) dA

= ∫∫(1≤z≤5) √(1 + 1/(4z^2)) dA

= ∫(0≤θ≤2π) ∫(1≤z≤5) ∫(0≤r≤√((z-1)/(z+1))) √(1 + 1/(4z^2)) r dr dz dθ

= (4/3)(5√5 - 2√2 - 2)

Thus, comparing the volumes, we have

Paraboloid: V = π(17^(3/2) - 1)/3 ≈ 122.92

Cone: V = (π/6)(17√17 - 1) ≈ 121.36

Hyperboloid: V = (4/3)(5√5 - 2√2 - 2) ≈ 59.72

Therefore, the paraboloid holds the most water when filled to a depth of four units.

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The value of the expression X⁴ -8x² -13x-30 divided by x²  + x+3 is the quadratic equation x² -x-10.

Quadratic equations are polynomial equations of degree two in a single variable of the form f(x) = ax²  + bx + c = 0 where a, b, c, and an are all divisible by R and an is equal to zero. It is the general form of a quadratic equation, where "a" is the leading coefficient and "c" is the absolute term of f. (x). The quadratic equation's roots (, ) correspond to values of x that satisfy the equation in four variables.

X^4 -8x² -13x-30 /x²  + x+3

divide X⁴ -8x² 13x-30 /x²  + x+3

=x² +-x³-11x²  -13x-30/x²  + x+3

=x² + -x³-(-11x²) -13x-30/x²  + x+3

divide x² + -x³ -(-11x²_ -13x-30/x² + x+3

=-x+-10x² -10x-30/x²  + x+3

=x² -x+-10x² -10x-30/x²  + x+3

divide x² -x+-10x² -10x-30/x²  + x+3=-10

=x² -x-10

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The required answer is

Ali traveled 20 miles per hour during the first interval and 40 miles per hour during the second interval.

Rafael traveled 35 miles per hour consistently during each interval.

Given that, the table relates the distance travelled by Ali, in miles and the time taken in hours,

Time(hour) , Distance travelled (miles)

1, 30

2, 50

3, 90

The table shows the distance travelled by Rafael in mile and time taken in hours

Time(hour) ,Distance travelled (miles)

2, 70

3, 105

4, 140

5, 175

To determine the distance traveled per hour for both Ali and Rafael, we can calculate the difference in distance for each hour.

For Ali:

Between hour 1 and hour 2: 50 miles - 30 miles = 20 miles

Between hour 2 and hour 3: 90 miles - 50 miles = 40 miles

Ali traveled a distance of 20 miles in one hour during the first interval and 40 miles in one hour during the second interval.

For Rafael:

Between hour 2 and hour 3: 105 miles - 70 miles = 35 miles

Between hour 3 and hour 4: 140 miles - 105 miles = 35 miles

Between hour 4 and hour 5: 175 miles - 140 miles = 35 miles

Rafael traveled a consistent distance of 35 miles in one hour during each interval.

Therefore, the required answer is

Ali traveled 20 miles per hour during the first interval and 40 miles per hour during the second interval.

Rafael traveled 35 miles per hour consistently during each interval.

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Answer:-63

Step-by-step explanation:

well first you would do 4-11 which is -7 and then -7x9=-63

Answer:

-63

Step-by-step explanation:

1. Subtract 11 from both sides:

\(\frac{x}{9} =-7\)

2. Multiply both sides by 9 to isolate x:

\((9)\frac{x}{9} =-7(9)\)

x = -63

hope this helps!

Answer:

Horizontal line: y=-5

Vertical line: x = 4

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).

Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5

Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4

Hence:

Horizontal line: y=-5

Vertical line: x = 4

The function f(x, y ,z) and u(u1, u2, u3) are unit vectors, then;

Duf = ▽f.u = ∂f/∂x u1 + ∂f/∂y u2 + ∂f/∂z u3

The directional derivative is the rate at which any function changes in a fixed direction at a particular point. It is the vector form of any derivative. It characterizes the instantaneous rate of variation of a function.

Since we know that the gradient is defined for the function f(x, y) is as;

▽f = ▽f(x, y) = ∂f/∂xi + ∂f/∂ yj

It can be calculated by assigning the vector operator r to f(x, y) as a scalar function. This vector field is called gradient vector field.

If we have a function f(x, y ,z) and u(u1, u2, u3) are unit vectors, then;

Duf = ▽f.u = ∂f/∂x u1 + ∂f/∂y u2 + ∂f/∂z u3

It is clear that, if we take a dot product of the gradient and the given unit vector, then we get the directional derivative of the function.

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The following are the statements which are true to the following:

a. simple graph does not have parallel edges or self-loops.

b.  in a connected, directed graph, every node is reachable from all other nodes.

c.  there cannot be any cycle in a tree.

d.  if a graph g is a forest, then there is no cycle in g.

We have the following:

a. a simple graph devoid of self-loops or parallel edges. consequently valid.

A simple graph is one that doesn't contain self-loops or parallel edges.

b. In a directed, connected graph, every node may be reached from every other node. consequently valid.

When all of the directed edges in a directed graph are replaced with undirected edges, the resulting undirected underlying graph is a connected graph, which indicates that the directed graph is weakly connected (or just connected).

c. A tree cannot contain a cycle. consequently valid

The aforementioned claim is accurate. Cycles cannot be contained in a tree since it is a non-linear data structure. Cycles are a possible feature of a graph.

d. If a graph g is a forest, then g does not include a cycle. consequently valid

The acyclic graph of a forest (i.e., a graph without any graph cycles). Therefore, forests are made up only of (potentially unconnected) trees, therefore the name "forest." All trees, empty graphs, and the singleton graph are a few examples of forests.

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Answer:

the correct graph is the one that shows a horizontal segment, followed by a positive slope segment, followed by a flat segment, and then a negative slope segment that is option B.

What is graph?

In mathematics, a graph is a visual representation of a set of objects and the connections between them. The objects, which are often called vertices or nodes, are typically represented by points or circles on the graph. The connections between the objects, which are often called edges or arcs, are typically represented by lines or curves connecting the points or circles.

Here,

To represent Marie's situation in a graph, we need to plot her golf cart's distance from the first hole over time. Let's analyze the given information to determine what the graph should look like.

For the first 30 minutes, Marie stayed at the first hole, so her distance from the first hole would be 0 during that time.

For the next 2 hours, Marie drove away from the first hole. Her distance from the first hole would increase during this time.

After 2 hours of driving, Marie stopped for lunch. Her distance from the first hole would remain constant during this time.

After lunch, Marie took 2 more hours to drive back to the first hole. Her distance from the first hole would decrease during this time.

The x-axis represents time in hours, and the y-axis represents distance from the first hole in miles. The graph starts at the origin, where the golf cart stays for the first 30 minutes, and then goes up with a positive slope for 2 hours as the golf cart moves away from the first hole. Then, the graph remains flat for 1 hour during lunch, before going down with a negative slope for 2 hours as the golf cart returns to the first hole.

As a result, the right graph is option B, which displays a horizontal section followed by a positive slope segment, a flat segment, and then a negative slope segment.

Step-by-step explanation:

Answer:

x=-7/5

Good Luck!!!

Answer:

x= -7/5 trust me

Step-by-step explanation:

i worked the equation out for u