The Kwans are saving for their daughter’s college education. If they deposit $12,000 in an account bearing 6.4% interest compounded continuously, how much will be in the account when Ann goes to college in 12 years? a. $12,768 c. $21,216.12 b. $25,865.41 d. $76,800

Answer: [tex]M=(7,2)[/tex]

Step-by-step explanation:

You need to use the following formula:

 [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]

Given the points A(6,3) and B(8,1), you can identify that:

[tex]x_A=6\\x_B=8\\y_A=3\\y_B=1[/tex]

Now, you can substitute these values into the formula [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex].

Therefore, you get this result:

[tex]M=(\frac{6+8}{2},\frac{3+1}{2})[/tex]

[tex]M=(7,2)[/tex]

ANSWER

The midpoint is (7,2)

EXPLANATION

The midpoint is calculated using the formula:

[tex]M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

The x-coordinate of the midpoint is given by

[tex]x = \frac{6 + 8}{2} [/tex]

[tex]x = \frac{14}{2} = 7[/tex]

The y-coordinate of the midpoint is given by:

[tex]y = \frac{3 + 1}{2} [/tex]

[tex]y = \frac{4}{2} = 2[/tex]

The midpoint is (7,2)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What’s the answer

Graphing the linear equation -2x - 3y = -7: Identify three points satisfying the equation, such as (0, 3), (1, 1), and (2, 1). Plotting these points on the graph, connect them to depict the line representing the equation on the Cartesian plane.

To graph the linear equation -2x - 3y = -7, we can first rearrange it to solve for y:

-2x - 3y = -7

-3y = 2x - 7

[tex]\[ y = \frac{2}{3}x + \frac{7}{3} \][/tex]

Now, we can select three points to plot on the graph. For simplicity, let's choose some integer values for x to find corresponding y values:

1. When x = 0: [tex]\(y = \frac{7}{3}\)[/tex], giving the point [tex](0, \(\frac{7}{3}\))[/tex].

2. When x = 3: y = 3, giving the point (3, 3).

3. When x = -3: y = -1, giving the point (-3, -1).

Now, plot these three points on the graph and connect them to visualize the line represented by the equation.

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the square root of 121, because when rationalized its 11.

square root 121

150 square root is 12.247....

98 square root is 9.899....

164 square root is 12.806....

when 121 is square root it’s 11 so square root 121 is the answer

Which best describes how empirical probability is determined?

A. By deciding which events are unpredictable

B. By personal experimentation and testing

C. By deciding which events are random

D. By considering all possible outcomes

Answer: B. By personal experimentation and testing

The complete question is as follows:-

Which best describes how empirical probability is determined?

A. By deciding which events are unpredictable

B. By personal experimentation and testing

C. By deciding which events are random

D. By considering all possible outcomes

The correct answer is option B which is By personal experimentation and testing.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

From the given option the best statement which determines the experimental probability is to determine the probability by personal experimentation and testing.

Therefore the correct answer is option B which is By personal experimentation and testing.

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Answer: (5x^2 + 2)(3x - 1)

I'll break it down:

You start off with 15x^3 - 5x^2 + 6x - 2

You first group the first two terms together, and then the last two pairs together: (15x^3 - 5x^2) (6x - 2)

Then you simplify (just factor out as much as you can): 5x^2(3x - 1) 2(3x - 1)

Then you take the terms that you get from doing that.

To find the First Term:

5x^2(3x - 1) 2(3x - 1)

(5x^2 + 2)

To find the Second Term:

5x^2(3x - 1) 2(3x - 1)

(3x - 1)

So your terms are (5x^2 + 2) and (3x -1)

Final Answer: (5x^2 + 2)(3x - 1)

The resulting expression will be (5x² + 2)(3x - 1). The correct answer is option A.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The grouping of the given expression will be done as:-

You start off with 15x³ - 5x²+ 6x - 2

You first group the first two terms together, and then the last two pairs together: (15x³ - 5x²) (6x - 2)

Then you simplify (just factor out as much as you can): 5x²(3x - 1) 2(3x - 1)

Then you take the terms that you get from doing that.

To find the First Term:

5x² (3x - 1) 2(3x - 1)

(5x² + 2)

To find the Second Term:

5x²(3x - 1) 2(3x - 1)

(3x - 1)

So your terms are (5x² + 2) and (3x -1)

Therefore the resulting expression will be (5x² + 2)(3x - 1)

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ANSWER

Infinitely many solutions.

EXPLANATION

The given system t;

8x + 9y = –5

–8x – 9y = 5

We use the elimination method:

Let us add the two equations to obtain:

-8x+8x+9y-9y=-5+5

This simplifies to:

0=0

This implies that, the system has infinitely many solutions because the two lines coincide.

Answer:

x = 20

B = 92

C = 40

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

A+B+C = 180

48+6x-28+2x = 180

Combine like terms

20+8x =180

Subtract 20 from each side

20+8x-20 = 180-20

8x = 160

Divide each side by 8

8x/8 = 160/8

x = 20

Then we need to find angle B

B = 6x-28 = 6(20)-28 = 120-28 =92

Then we need to find angle C

C = 2x = 2(20) = 40

Answer:

x=20

m>B=92

m>C=40

Step-by-step explanation:

the angles in a triangle add up to 180

48+6x-28+2x=180

6x+2x-28=132

6x+2x=160

8x=160

x=20

6(20)-28

120-28=92

2(20)=40

Answer:

i) y = 25x + 500

ii) y = 30x + 400

iii) The washing machines would cost the same amount after 20 years of use

iv) Standard machine

Step-by-step explanation:

i)

We are to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

The first step step is to determine the slope of the line,

( change in y) / ( change in x ) = (550 - 525) / ( 2 - 1) = 25

The equation is slope-intercept form will be;

y = 25x + c

Where y is the cost of the High-Efficiency washing machine and x the number of years. To determine the y-intercept, c, we use any pair of points given in the data table;

when x = 1, y = 525

525 = 25(1) + c

c = 500

Therefore;

y = 25x + 500

ii)

The straight line equation that models the cost of Standard washing machine over the years;

Slope = (460 - 430) / (2 - 1) = 30

The equation is slope-intercept form will be;

y = 30x + c

when x = 1, y = 430

430 = 30(1) + c

c = 400

Therefore;

y = 30x + 400

Where y is the cost of the standard washing machine and x the number of years.

iii)

Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

We have the cost functions;

y = 25x + 500

y = 30x + 400

Equating the two and solving for x;

25x + 500 = 30x + 400

500 - 400 = 30x - 25x

100 = 5x

x = 20

Therefore, the washing machines would cost the same amount after 20 years of use.

iv)

In order to determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in i) and ii)

The cost function of the High-Efficiency washing machine is;

y = 25x + 500

To determine the cost, we solve for y given x = 9

y = 25(9) + 500

y = 725

The cost function of the Standard washing machine is;

y = 30x + 400

We solve for y given x = 9

y = 30(9) + 400

y = 670

Comparing the two values obtained, the cost for the Standard washing machine is more practical.

1) y=25x+500

2) y=30x+400

3) 20

4) standard machine

Answer:

y=-x-2

Step-by-step explanation:

Hello

according to the graph you can take two points of the line, let p1 and p2

p1(-2,0) ,  p2(0,-2)

with those points we can find the slope

[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{-2-0}{0-(-2)} \\m=\frac{-2}{2} \\m=-1[/tex]

now we use the slope point -equation, with p1(-2,0)

[tex]y-y_{0} =m (x-x_{0})\\[/tex]

[tex]y-0=-1(x-(-2))\\y=-x-2[/tex]

the function of the graph is y =-x-2

Have a great day.

For something to be a function, an input (x value) can only have ONE output (y value)

For example:

(2 ,4)

(2, 5)     This is not a function because the input has multiple outputs.

So your answer is the 1st option

Answer:

23.79

Step-by-step explanation:

since 1 is less than 4 it turns into zero

Answer:

It is a quadratic equation because the equation is a quadratic polynomial set equal to zero. The polynomial is quadratic because the term with highest degree, the x^2 term, has degree 2.

im not sure but I think it is b

There are two rational numbers on that list.

B.  √100  =  +10  and  -10

D. √10,000  =  +100  and  -100

First make a triangle by connecting the center point of the circle to one of the end points of the chord.

This will make a right triangle. The new formed line is the radius of the circle and will be the hypotenuse of the right triangle too.

Since one of the legs of the right triangle is half the chord, divide the chord in to two.

9.6 / 2 = 4.8

Now we can calculate for the hypotenuse.

Pythagorean theorem states that  a²+b² = c²

So

√2.4² + 4.8² = c

√5.76 + 23.04 = c

√28.8 = c

5.4 = c

C is the hypotenuse and the hypotenuse is known as the radius of the circle.

So the radius is 5.4

The value of x can be any number between 1.5 to 4.5. Some translations imply that 'x' is being used in scientific notation or being adjusted by standard deviations in statistical calculations. Furthermore, finding 'x' in equations could result in more than one solution.

The question is about finding the value of x, which is a mathematical variable. Without a proper equation or context, it is not possible to determine the specific value of x. However, some details were given, stating '1.5 ≤ x ≤ 4.5', meaning that the value of x can be any number between 1.5 and 4.5. Additionally, the concept of scientific notation or exponential notation appears in the data provided ('x x 10¹'). This can help express very large or small numbers in a simplified form. For instance, if 'x' is 8.4 and '10¹' indicates we have 14 placeholder zeros, the actual measurement value would be 8.4 followed by 14 digits (840,000,000,000,000).

Furthermore, the question has hints of statistics, shown when 'x' is increased and decreased by standard deviations, which are instructions to calculate different characteristic values from certain distributions (e.g., '(x + 1s)').

Remember that solving equations may result in more than one solution, pointing out the characteristic of quadratic equations that give two solutions. And finally, dividing and multiplying by powers of 10 simply means shifting decimal points right or left respectively, according to the number of zeros in the power of ten.

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Let me know if you can see this photo

Send a picture so I can get the problem

The answer is D, 35 hours. 8+5=15. And then 35 + 15 is 50!

Answer:

do you have a picture to help me answer the problem?

Step-by-step explanation:

Answer:

B On Egen, 4 root 37

Step-by-step explanation:

5.48 to the nearest tenth is 5.5

9.63 is closest to 9.6

17.24 is closest to 17.2

So, 5.5+9.6= 15.1

17.2-15.1=2.1

A. about 2.1 mL

Answer:

a. about 2.1 :)

Step-by-step explanation:

Answer:

1. There would only be a line that passes through 4 from left to right indicating the y value always being y.

2. For every time x increase by 3 the y value would increase by 1. Ex: (1,1/3),(2,2/3), (3,1)

Step-by-step explanation:

5 in 6

10 in 12

in 12 hrs they can clean 10 offices.

Answer:

5 in 6

10 in 12

in 12 hrs they can clean 10 offices.

pls make this the brainliest

hope this helps

Answer:

20 in

Step-by-step explanation:

Remark

This is a Pythagorean Theorem question.

Givens

a = 15 in

b = ??

c = 25 in

Formula

a^2 + b^2 = c^2

Solution

15^2 + b^2 = 25^2

225 + b^2 = 625                 Subtract 225 from both sides

225-225+b^2 = 625-225   Combine

b^2 = 400                            Take the square root of both sides

sqrt(b^2) = sqrt(400)

b = 20

The length is 20 in

You can use proportions to find the answer.

20/100=?/11.95

20*11.95=239

239/100=2.39

So the discount takes $2.39 off of the original price.

11.95-2.39=9.56

7/100=?/9.56

7*9.56=66.92

66.93/100=0.6692

Round to nearest tenth: 0.67

9.56+0.67=10.23

The final cost of the CD is $10.23

10.35 good luck man

Answer:

Each pan of brownies had [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips

Explanation:

Savannah originally had 400 chocolate chips

Now, she saved x chocolate chips for garnish

This means that the amount she originally had decreased by x

Savannah now has 400-x chocolate chips to use for brownies

She divided this amount evenly into three pans. This means that the amount in each pan will be equal to the amount she has now divided by 3

This means that:

Each pan got [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Answer:

- 3

Step-by-step explanation:

Given the 2 x 2 matrix [tex]\left[\begin{array}{ccc}ab\\cd\\\end{array}\right][/tex]

Then the determinant = ad - bc

Hence for [tex]\left[\begin{array}{ccc}1&7\\0&-3\\\end{array}\right][/tex]

determinant = (1 × - 3) - (7 × 0) = - 3 - 0 = - 3

Answer:

What following? There are no options

Answer:

e=4

Step-by-step explanation:

5.7e + 11.8 = 1.3e + 29.4

-1.3e -1.3e

4.4e + 11.8 = 29.4

-11.8 -11.8

4.4e/4.4 = 17.6/4.4

e = 0.25

Or

e = 4

Answer:

y = -√(x + 5) + 2.

Step-by-step explanation:

y = -√x

Shifting this 2 units up produces the equation:

y = -√x + 2

Moving it 5 units to the left gives:

y = -√(x + 5) + 2.

The equation of graph of  [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.

[tex]y=-\sqrt{x+5}+2[/tex]

Given :

The graph of  [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.

The parent equation of the graph is [tex]y=-\sqrt{x}[/tex]

The graph is shifted 2 units up

When any graph is shifted up  then we add the units at the end

Graph shifted 'a' units up then f(x) becomes f(x) +a

when a graph is shifted 'a' units left , then we add the units with 'x'

Graph shifted 'a' units left then f(x) becomes f(x+a)

The graph of  [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.

Add 5 units with 'x' and add 2 units at the end

[tex]y=-\sqrt{x+5}+2[/tex]

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The area of each parallelogram is 240 square inches, and the area of the carpet is 2,160 square inches.

The dimension of the parallelograms is given as:

Base = 12 inches

Height = 20 inches

The area of the parallelograms is calculated as:

Area = Base * Height

So, we have:

Area = 12 * 20

Area = 240 square inches

The area of each parallelogram is calculated as:

Area = 240 square inches

The number of parallelograms is given as:

n = 9

So, the area of the carpet is:

Carpet = 9 * 240 square inches

Evaluate

Carpet = 2160 square inches

Hence, the area of the carpet is 2160 square inches

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Final answer:

To find the total area of Patty's carpet, multiply the area of one parallelogram (base 12 inches, height 20 inches) by the number of parallelograms (9), resulting in a total area of 2160 square inches.

Explanation:

To calculate the area of a parallelogram, the formula is base times height. In the given question, each parallelogram has a base of 12 inches and a height of 20 inches.

So, the area of one parallelogram is:

Area = Base × Height = 12 inches × 20 inches = 240 square inches.

Since Patty's carpet is made up of 9 parallelograms, we multiply the area of one parallelogram by 9 to find the total area of the carpet:

Total area = 240 square inches × 9 = 2160 square inches.

Therefore, the total area of the carpet is 2160 square inches.