0 can be natural number true or false

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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Answer:

The equation of the line is:

y

=

5

6

x

−

15

6

Explanation:

The equation of the line will be in the form:

y

=

m

x

+

c

where  

m

is the slope (gradient) and  

c

is the y-intercept.

To find the slope, we use:

m

=

y

2

−

y

1

x

2

−

x

1

It doesn't matter which point we decide is  

(

x

1

,

y

1

)

and which we choose as  

(

x

2

,

y

2

, since the formula will work either way.

m

=

0

−

(

−

5

)

3

−

(

−

3

)

=

5

6

Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:

y

=

m

x

+

c

0

=

5

6

(

3

)

+

c

=

15

6

+

c

Rearranging:

c

=

0

−

15

6

=

−

15

6

Over all, then, the equation of the line is:

y

=

5

6

x

−

15

6

The equation of the line is:

y

=

5

6

x

−

15

6

Explanation:

The equation of the line will be in the form:

y

=

m

x

+

c

where  

m

is the slope (gradient) and  

c

is the y-intercept.

To find the slope, we use:

m

=

y

2

−

y

1

x

2

−

x

1

It doesn't matter which point we decide is  

(

x

1

,

y

1

)

and which we choose as  

(

x

2

,

y

2

, since the formula will work either way.

m

=

0

−

(

−

5

)

3

−

(

−

3

)

=

5

6

Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:

y

=

m

x

+

c

0

=

5

6

(

3

)

+

c

=

15

6

+

c

Rearranging:

c

=

0

−

15

6

=

−

15

6

Over all, then, the equation of the line is:

y

=

5

6

x

−

15

6

Step-by-step explanation:

We want to find the equation of the line that passes through the points (0, 3) and (5, -3). The linear equation is y = (-6/5)*x + 3

A general linear equation is written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be written as:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

In this case, we know that the line passes through (0, 3) and (5, -3) then the slope is:

\(a = \frac{-3 - 3}{5 - 0} = \frac{-6}{5}\)

Then the line is:

y = (-6/5)*x + b

To get the value of b, we use the fact that the line passes through (0, 3), so we have:

3 = (-6/5)*0 + b

3 = b

Then the linear equation is just:

y = (-6/5)*x + 3

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Answer:

3.2CD

Step-by-step explanation:

Answer:

letter D a(-3,3) to a'(-3,-3)

i hope it can help

Answer:

A

Step-by-step explanation:

it is because of the inverse is across y-axis.

but I feel that should be the answer.

To sketch the vector v = -9i - 8j as a position vector, we start at the origin (0, 0) and move in the direction of the vector. The magnitude of the given position vector is 12.04 units.

First, draw a horizontal line segment of length 9 units in the negative x-direction (-i) from the origin.

Next, draw a vertical line segment of length 8 units in the negative y-direction (-j) from the endpoint of the previous line segment.

The resulting position vector starts at the origin and ends at the point (-9, -8) in the Cartesian coordinate system.

To find the magnitude (or length) of the vector v, we can use the Pythagorean theorem. The magnitude of a vector v = xi + yj in two dimensions is given by

|v| = √(x² + y²)

For v = -9i - 8j, the magnitude is

|v| = √((-9)² + (-8)²)

= √(81 + 64)

= √(145)

≈ 12.04

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Answer:

2( x - 2)(2x + 1)

Step-by-step explanation:

Dude

Answer:

4x^2−6x−4

Step-by-step explanation:

Let's simplify step-by-step.

5x2−2x−14−(x2+4x−10)

Distribute the Negative Sign:

=5x2−2x−14+−1(x2+4x−10)

=5x2+−2x+−14+−1x2+−1(4x)+(−1)(−10)

=5x2+−2x+−14+−x2+−4x+10

Combine Like Terms:

=5x2+−2x+−14+−x2+−4x+10

=(5x2+−x2)+(−2x+−4x)+(−14+10)

=4x2+−6x+−4

X=4

Please mark brainliest

The best linear prediction rule minimizes the mean squared error when predicting from the mean. This rule aims to minimize the error between the predicted values and the actual values, resulting in more accurate predictions.

When it comes to linear prediction, the goal is to find a rule that can accurately estimate or predict an outcome based on given input variables. The best linear prediction rule is determined by minimizing the error between the predicted values and the actual values. One commonly used measure of prediction accuracy is the mean squared error (MSE).

To understand why the best linear prediction rule minimizes the MSE, let's break it down. The MSE is calculated by taking the average of the squared differences between the predicted values and the actual values. By minimizing the MSE, we are essentially minimizing the overall prediction error.

When predicting from the mean, the best linear prediction rule minimizes the MSE by finding a linear relationship between the input variables and the outcome. This rule is derived by analyzing the data and finding the coefficients that minimize the squared differences between the predicted values and the mean.

The error when predicting using the best linear prediction rule is minimized because this rule optimally captures the underlying patterns and relationships in the data. It takes into account the covariance between the input variables and the outcome, allowing for more accurate predictions.

Finally, the best linear prediction rule minimizes the mean squared error when predicting from the mean. By minimizing the error, this rule provides a more accurate estimation of the outcome variable based on the given input variables. It takes into account the relationships and patterns in the data, resulting in improved prediction accuracy.

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The water output rate for Reed's sprinkler is 25L/hour. We have to find the water output rate for each sprinkler if the sum of the two rates was 45L per hour. We know that the Rogers family sprinkler was used for 15 hours and the Reed family sprinkler was used for 30 hours.

Therefore the combined time the two sprinklers were used for was:15 + 30 = 45 hours

Therefore, The Rogers family's sprinkler output rate: r₁

The Reed family's sprinkler output rate: r₂

Given that the sum of the two rates was 45L per hour: r₁ + r₂  = 45 -----Equation (1)

Now, let's calculate the water output of each sprinkler using their respective times:

Water output of Rogers' sprinkler = r₁ × 15

Water output of Reed's sprinkler = r₂  × 30

The total output was 1050L:

r₁ × 15 + r₂  × 30 = 1050 -----Equation (2)

We have two equations and two variables. We will solve for r₁ and r₂ :

r₁ + r₂ = 45r₂ = 45 - r₁

Substituting the value of r₂ in equation (2), we get:

r₁ × 15 + (45 - r₁) × 30 = 105015r₁ + 1350 - 30r₁

= 1050-15r₁

= -300r₁

= 20r₂

= 45 - r₁

= 45 - 20 = 25

Therefore, The water output rate for Rogers' sprinkler is 20L/hour.

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Answer:

5,386,830

Step-by-step explanation:

Answer:

f(x)=-5x+1x=−5x+1, find f(6)

f(6)= -5(6)+1(6)=-5(6)+1

F(6)=-24,-29

The perimeter of the garden is:

90 + 30√3 feet

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The perimeter of the garden is the sum of all the three sides of the garden.

Check the attached for the sketch of the garden.

Thus, we can say:

sin 60 = (30√3)/y

(√3)/2 =  (30√3)/y

1/2 =  30/y

y = 2 * 30

y = 60 feet

tan 30 = x/(30√3)

1/√3 = x/(30√3)

(√3) x = 30√3

x = 30 feet

perimeter = x + y + 30√3

perimeter = 30 + 60 + 30√3

perimeter = 90 + 30√3 feet

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Answer:

2

Step-by-step explanation:

-3-2=-5

its almost like you are doing addition when all the numbers are negative so if u add it together and then and the negative at the end this should help you remember

Answer:

\(2\)

Step-by-step explanation:

We want to solve this following equation for \(x\): \(-3-x=-5\).

We can add \(3\) to both sides of the equation to get \(-x=-2\).

We can then divide both sides of the equation by \(-1\) to get \(x=2\).

So, the missing integer is \(\boxed{2}\).

Note: \(2=5-3\). Coincidence?

Linear equation is the equation in which the highest power of the unknown variable is one. The expression represents the yearly cost for x movie rentals can be given as,

\(f(x)=2.95x+39.95(12)\)

Hence the option four is the correct option.

Given information-

The amount a movie company charges is $2. 95 per movie.

The amount of fixed monthly fee is $39.95.

The statement is need to be convert in the expression of linear form.

Linear equation is the equation in which the highest power of the unknown variable is one.

As the number of months in a year is 12 and the monthly fixed fee is $39.95. Thus the Fixed amount charged yearly by the compony,

\(=12\times39.95\\ =39.95(12)\)

The amount for each movie is varies as the company charges the $2.95 per movie.

Suppose the number of movie watched yearly is x.

Then the money charged by the company for x movies is,

\(=2.95\times x\\ =2.95x\)

Thus the expression represents the yearly cost for x movie rentals can be given as,

\(f(x)=2.95x+39.95(12)\)

Hence the option four is the correct option.

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Answer:

Constraints:

\(0.50y+2.25x\geq 125\\x\geq 35\\y\geq 3x\)

Step-by-step explanation:

Let x represents the number of cards and y represents the number of cupcakes.

Carrie decides to sell cupcakes for $0.50 each.

Total amount earned from selling cupcakes \(=0.50y\)

Juanita decides to sell homemade cards for $2.25 each.

Total amount earned from selling cards \(=2.25x\)

As Carrie and Juanita need at least $125 to cover their start up costs,

\(0.50y+2.25x\geq 125\)

Juanita plans to make at least 35 cards.

\(x\geq 35\)

Carrie plans to sell cupcakes no less than 3 times the number of cards Juanita makes.

\(y\geq 3x\)

Constraints:

\(0.50y+2.25x\geq 125\\x\geq 35\\y\geq 3x\)

However, without specific measurements for the angles or sides of the triangle, we cannot determine the lengths of the sides or identify which side is the longest. Therefore, the answer is (a) "cannot be determined."

To determine which side of the triangular rooftop terrace has the greatest length, we need to examine the given information. The lengths of the sides of a triangle are dependent on the measures of the angles and the relative proportions between the sides.

Without knowing any specific values for the angles or sides, we cannot compare or determine the lengths of the sides accurately. Additional information is needed to identify which side has the greatest length.

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Answer:

cannot be determined

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct graph for the given scenario is shown in image.

We are multiplying a vector by a scalar and determining which quadrant the new vector belongs to:

A = z

B = -z

Since,  z is in the second quadrant ( x is negative and y is positive)

when we multiply by -1,   B is found by multiplying z by negative 1

The first coordinate of B, the x coordinate, is a negative value times a negative value which is positive.

The second coordinate of B, which is the y value, is a negative value times a positive value which is negative.

B is in the 4th quadrant ( x is positive, y is negative)

Therefore, This is the only graph that meets that requirement.

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Answer:

4

Step-by-step explanation:

Percentage Calculator: 160 is what percent of 4000? = 4.

Step-by-step explanation:

The money was shared in the ratio of their ages which represents

7:8:10 respectively

Making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

The total time it takes Marjorie and Blaine to perform their respective tasks in building a chair is multiplied by 10 chairs, respectively.  This time is known as their speed.

The resulting figures are summed to get the total time.

The total time it takes Marjorie to build a chair is 15 hours (1.5 hours x 10)

The total time it takes Baline to sew cushions per chair is 400 minutes (40 x 10) or 6 hours and 40 minutes.

Therefore, the total time to build 10 chairs is 21 hours, 40 minutes (15 hours + 6 hours and 40 minutes).

Thus, making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

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The equivalent ratio of form 1 : n is 1 : 4.5

Here the ratio given is 6 : 27 and we have to convert this ratio into the form of 1 : n.

6: 27

= 6/27

Divide the numerator and the denominator by 6, then we get

1 / (27/6)

= 1/ 4.5

Which is equivalent to the ratio 1 : n.

Therefore the equivalent ratio is 1 : 4.5.

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We will use Equation (5.9) of Fourier transform analysis to calculate the Fourier transforms of the given sequences: (a) (½)^(n-1)u[n-1] and (b) (½)^|n-1|. F(ω) = Σ (½)^(n-1)e^(-jωn) for n = 1 to ∞.  F(ω) = Σ (½)^(n-1)e^(-jωn) for n = -∞ to ∞

(a) To calculate the Fourier transform of (½)^(n-1)u[n-1], we substitute the given sequence into Equation (5.9). Considering the definition of the unit step function u[n-1] (which is 1 for n ≥ 1 and 0 for n < 1), we can rewrite the sequence as (½)^(n-1) for n ≥ 1 and 0 for n < 1. Thus, we obtain the Fourier transform as:

F(ω) = Σ (½)^(n-1)e^(-jωn)

Evaluating the summation, we get:

F(ω) = Σ (½)^(n-1)e^(-jωn) for n = 1 to ∞

(b) To calculate the Fourier transform of (½)^|n-1|, we again substitute the given sequence into Equation (5.9). The absolute value function |n-1| can be expressed as (n-1) for n ≥ 1 and -(n-1) for n < 1. Thus, we have the Fourier transform as:

F(ω) = Σ (½)^(n-1)e^(-jωn) for n = -∞ to ∞

In both cases, the specific values of the Fourier transforms depend on the range of n considered and the values of ω. Further evaluation of the summations and manipulation of the resulting expressions may be required to obtain the final forms of the Fourier transforms for these sequences.

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the equation (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions. Therefore the correct option is a.

To determine which equation(s) have both 2 and -5 as solutions, substitute these values into each equation and see if they satisfy the equation. Let's check each option:

a. \(x^2 + 3x - 10 = 0\)

Substituting x = 2:

\((2)^2 + 3(2) - 10 = 4 + 6 - 10 = 0\)

Substituting x = -5:

\((-5)^2 + 3(-5) - 10 = 25 - 15 - 10 = 0\)

Both 2 and -5 satisfy the equation, so option a has both 2 and -5 as solutions.

b. \(x^2 - 3x - 10 = 0\)

Substituting x = 2:

\((2)^2 - 3(2) - 10 = 4 - 6 - 10 = -12\)

Substituting x = -5:

\((-5)^2 - 3(-5) - 10 = 25 + 15 - 10 = 30\)

Neither 2 nor -5 satisfy the equation, so option b does not have both 2 and -5 as solutions.

c. \(x^2 + 7x + 10 = 0\)

Substituting x = 2:

\((2)^2 + 7(2) + 10 = 4 + 14 + 10 = 28\)

Substituting x = -5:

\((-5)^2 + 7(-5) + 10 = 25 - 35 + 10 = 0\)

Only -5 satisfies the equation, so option c does not have both 2 and -5 as solutions.

d. \(x^2 - 7x + 10 = 0\)

Substituting x = 2:

\((2)^2 - 7(2) + 10 = 4 - 14 + 10 = 0\)

Substituting x = -5:

\((-5)^2 - 7(-5) + 10 = 25 + 35 + 10 = 70\)

Only 2 satisfies the equation, so option d does not have both 2 and -5 as solutions.

In conclusion, the equation in option a (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions.

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Answer:

Step-by-step explanation:

I don't know if this is right but i'm just trying to help you. So I did 27 times 9 because the blue part is 9cm and the pink part H is 27cm, I got 243. Then the whole thing is 243cm but you see how it says in blue area=30cm well that means that that small peace if 30cm out of the whole 243cm, so what I did was i subtracted 243cm by 30cm and I got a answer of 213 cm. If that was what you had needed help on. I hope i helped you even a little bit, please let me know if i did help you. And also um i don't know how to friend someone so if you can tell me how to friend someone i was thinking about friending you. And ill also just you some points if you want, say mabey like 10 or 20 points. Thanks and hoped that helped and good luck buddy. :)

The range of values for which x²–2x -3 > 0 is

x < -1 and x > 3

Any equation in algebra that can be written in the standard form where x is an unknown value and a, b, and c are known integers, where a≠0 is a quadratic equation.

By solving the quadratic expression

x²–2x -3 > 0

Find two numbers that is a factor of -3 such that on adding them the answer is -2

that is

(1)(-3) = -3

(1)+(-3) = -2

x² -3x +x -3 > 0

By factorization;

x(x-3)+1(x-3) > 0

(x + 1)(x - 3) > 0

Therefore;

(x+1) > 0 and (x - 3) > 0

x < -1 and x > 3

The range of values for which x²–2x -3 > 0 is x < -1 and x > 3

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Answer:

$12.50

Step-by-step explanation:

62% would be left,so

\(\frac{62}{100}\) × $20

=$12.50