What number is represented by the expanded form shown? write the number in the place-value chart.

Present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344

percentage, a relative value indicating hundredth parts of any quantity.

The present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is calculated as follows:

Present Value = $1,635 × PVIFA ( 4.2%/4 ,3 Years)

Present Value = $1,635 × PVIFA (1.05% ,12)

= $1,635 × 11.21960

= $18,344

The present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344

Hence, present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

In the velocity - time graph, the value of t is 180 seconds

Velocity-time graph is a plot between Velocity and Time. It shows the Motion of the object that moves in a Straight Line. Magnitude of Velocity at a given instant is equal to its Instantaneous Speed. It is drawn for 1-D motion only and can take both positive and negative values.

The formula of speed by using the distance and time represented as

speed = distance / time

In the velocity time graph, we have we walked back home at constant speed of 2m/s

This can be represented mathematically as

2 = 150 / t - 105

solve for t in the equation

150 = 2(t - 105)

150 = 2t - 210

2t = 150 + 210

2t = 360

t = 360 / 2

t =  180 seconds

Learn more on velocity - time graph here;

https://brainly.com/question/10824584
#SPJ1

Hence, the two triangles have the same side length so they are congurent triangles.

What is the congurency?

The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal.

Here given triangles are

In Δ[tex]FGH[/tex] and Δ[tex]JKL[/tex] are congruent. If they are, give the reason, if they aren't choose "not congruent".

[tex]F(-5, 10), G(-2, 2), H(-9, -7), J(0, -5), K(9, 2), L(-8, -2)[/tex]

We know the distance formula

ie., [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Length in between [tex]FG[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-2-(-5))^2+(2-10)^2}\\\\d=\sqrt{(-2+5)^2+(2-10)^2}\\\\d=\sqrt{(3)^2+(-8)^2}\\\\d=\sqrt{9+64}\\\\d=\sqrt{73}[/tex]

Length in between [tex]GH[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-9-(-2))^2+(-7-2)^2}\\\\d=\sqrt{(-9+2)^2+(-7-2)^2}\\\\d=\sqrt{(-7)^2+(-9)^2}\\\\d=\sqrt{49+81}\\\\d=\sqrt{130}[/tex]

Length in between [tex]HF[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-5-(-9))^2+(10-(-7))^2}\\\\d=\sqrt{(-5+9)^2+(10+7)^2}\\\\d=\sqrt{(4)^2+(17)^2}\\\\d=\sqrt{16+289}\\\\d=\sqrt{305}[/tex]

Length in between [tex]JK[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(9-0)^2+(2-(-5))^2}\\\\d=\sqrt{(9)^2+(2+5)^2}\\\\d=\sqrt{(9)^2+(7)^2}\\\\d=\sqrt{81+49}\\\\d=\sqrt{130}[/tex]

Length in between [tex]KL[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-8-9)^2+(-2-2)^2}\\\\d=\sqrt{(-8-9)^2+(-2-2)^2}\\\\d=\sqrt{(-17)^2+(-4)^2}\\\\d=\sqrt{289+16}\\\\d=\sqrt{305}[/tex]

Length in between [tex]LJ[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(0-(-8))^2+(-5-(-2))^2}\\\\d=\sqrt{(0+8)^2+(-5+2)^2}\\\\d=\sqrt{(8)^2+(-3)^2}\\\\d=\sqrt{64+9}\\\\d=\sqrt{73}[/tex]

Therefore, [tex]FG[/tex]≅[tex]LJ-GH[/tex]≅[tex]JK-HF[/tex]≅[tex]KL[/tex]

Hence, the two triangles have the same side length so they are congurent triangles.

To know more about the congurency

https://brainly.com/question/11705811

#SPJ1

The coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.

Thus, the coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

Y=3X/2-Z for the equation X=2/3(Y+Z)

Two or more expressions with an Equal sign is called as Equation.

The given equation is

X=2/3(Y+Z)

x equal to two by three times of y plus z

Apply distributive property on RHS

X=2Y/3+2/3Z

Now Subtract 2/3Z on both sides

X-2/3Z=2/3Y

Divide both sides by 2/3

3/2X-Z=Y

Hence Y=3X/2-Z for the equation X=2/3(Y+Z)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The values of k are as follows when using translational ideas:

7. k = 3

A translation is what?

A change in the function graph, as defined by operations like multiplication or sum/subtraction, represents a translation.

How do you describe a change?

A metamorphosis is an indicate higher in look or form. Your life may change as a result of a significant occasion like earning your driver's license, enrolling in college, or getting married. An dramatic, drastic shift is called a metamorphosis.

In this problem:

g(x) is a 3 unit shift up of f(x), therefore k = 3.

Visit brainly.com/question/27885240 to learn more about translation ideas.

#SPJ1

A line which represents the line of best fit is: C. Line B.

A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:

By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.

Read more on line of best fit here: https://brainly.com/question/12284501

#SPJ1

Answer:

1.8311095e+24

Step-by-step explanation:

41616125671617152751278 x 44 = the number above

why..

Answer:7:2 or 7 to 2

Step-by-step explanation:

Answer:

7 : 2 7/2 we can use two

Step-by-step explanation:

7 : 2 can't simplified

Answer:

each side has to be the same for the triangle to be congruent

Answer:

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles.  From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

One ticket will cost you £8.20.

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel.

Explanation

Suppose a single ticket costs = [tex]x[/tex]

They actually need to pay for 3 tickets because the promotion reads "purchase 3 tickets and receive one free."

so, the total price of three tickets = [tex]3x[/tex]

Four buddies each pay £6.15, making a total of £24.60 between them.

The equation will therefore be.....

[tex]3x = 24.60\\x = \frac{24.60}{3} = 8.20[/tex]

Consequently, a single ticket will cost £8.20.

Learn more about unitary method

https://brainly.com/question/28455000

#SPJ4

Answer:True

Step-by-step explanation:

Answer: Making them into improper fractions will really help you with subtracting mixed fractions! For example 2[tex]\frac{1}{5} \\[/tex] - 1[tex]\frac{1}{4}[/tex].

Making them into improper fractions will turn the expression into [tex]\frac{11}{5}[/tex] - [tex]\frac{5}{4}[/tex].

Turn the denominators into the greatest common multiple, so the greatest common multiple of 5 and 4 is 20. Meaning you multiply  [tex]\frac{11}{5}[/tex] by 4 and [tex]\frac{5}{4}[/tex] by 5.

You now have [tex]\frac{44}{20} -\frac{25}{20}[/tex], which is much easier to work with. Simply subtract the numerators, and you should get [tex]\frac{19}{20}[/tex].

Hope this helps :)

Answer:

B

Step-by-step explanation: Good luck on your test

Answer:

The LCM of 96 and 144 is 288.

Step-by-step explanation:

Please give the brainliest, really appreciated.

The time saved will be: x - m/k This is a simple exercise in manipulating symbols. Let's take a look at the problem and break it down. "Stanley drives m miles in x hours" This statement immediately gives us 2 variables; "m" to represent how many miles the trip is and "x" for the number of hours it took Stanley to drive that far. Now let's look at the next statement. "How many hours would he save if he drove the same distance at k miles per hour?" This statement gives us another variable "k" for a new speed and gives us the question to answer. How many hours would Stanley save if he made the trip at a different speed. Since we're interested in hours saved, we need 2 different time values. They are 1. How much time did Stanley originally take? 2. How much time will the new speed make Stanley take? Looking at m, x, and k. We can immediately see that x is the original time that Stanley took. So we have that value. But we don't have any value for how long will it take at a new speed. But can we calculate it? And the answer to that is YES. The time it will take is the distance divided by the new speed. And that would be m/k. And since we're looking for savings, we just need to subtract the two time values. So our equation becomes x - m/k where x = original time taken m = distance of trip k = new speed to drive at.

Answer:

=======================

Function c(d):

Find the value of c(d) when d = 206:

Answer:

Cost = $83.44

Step-by-step explanation:

The given equation is,

→ c(d) = 0.24d + 34

Now the required cost will be,

→ c(d) = 0.24d + 34

→ c(206) = 0.24(206) + 34

→ c(206) = 49.44 + 34

→ c(206) = $83.44

Hence, the cost is $83.44.

Answer:

cm2 to inch2 conversion. Conversion square centimeters to square inches, cm2 to inch2. The conversion factor is 0.15500031000062; so 1 square centimeter ...

Step-by-step explanation:

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle.

= 2 ( length + width)

The number of 2(3/8) inches tickets to fit into the length of the wall is

154 tickets.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The perimeter of a rectangle.

= 2 ( length + width)

The wall is rectangular and has a perimeter of 408 ⅜ inches.

This means,

408 (3/8) = 2 (length + width)

3267/8 = 2 (length + width) _____(1)

Now,

The total width of the wall.

= 2 width

Now,

Length of the square stickers = 2 (3/8) inches = 19/8 inches

The number of stickers needed to cover the width of the wall = 18

2 width = 18 x 19/8 inches.

2width = 18 x 19/8

width = 171/8 inches

Now,

From (1) we get,

3267/8 = 2 (length + width)

3267/8 = 2 (length + 171/8)

3267/8 - 342/8 = 2 length

2925/(8 x 2) = length

2length = 2925/(8 x 2)

2length = 2925/8

The number of stickers to cover the total length.

= 2925/8 ÷19/8

= (2925 x 8)/ (19 x 8)

= 154

Thus,

The number of 2(3/8) inches tickets to fit into the length of the wall is

154 tickets.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Answer:

11/3

Step-by-step explanation:

3x+4=15

3x=11

x=11/3

For the actual number 3 and the predicted value 1.6 the residual  is equal to 1.4.

As given in the question,

The actual number is equal to 3

The predicted value is equal to 1.6

The residual is the difference between actual number and predicted value.

Formula for the residual is:

Residual = Actual number - Predicted value

Substitute the value of the actual number and the predicted value in the formula ,

⇒ Residual = 3 - 1.6

⇒ Residual = 1.4

Therefore, the residual for the given the actual number and the predicted value is given by 1.4.

Learn more about predicted value here

brainly.com/question/28963555

#SPJ4

Answer:

(y – 4) = 1(x +6)

Step-by-step explanation:

y – y₁ = m(x – x₁)

(y – 4) = 1(x –(–6))

(y – 4) = 1(x +6)

The other midpoint is 3+9i in the given complex plane.

Given that,

We know that the middle point is: (-1+i)

And the end point  is: (-5-7i)

We know that the formula to find the middle point is:

(x1+ x2 /2, z1+z2/2)

We wish to find the point x1,z1

So we can write the following equation

x1 + (-5)/2 = -1  --------> 1

and

z1 + (-7i)/2 = i ----------->2

Now we clear x1 from equation (i) and clear z1 from equation (ii)

For equation (i) we have:

-2 = x1 -5

x1 =3

For equation (ii) we have:

2i = z1 - 7i

z1 = 9i

Then the initial point is: 3+9i

So, The other endpoint is 3+9i

Learn more about midpoint :

brainly.com/question/11227321

#SPJ4

One solution:  3x- 5y = 8; 5x - 3y = 2

3x + 2y = 8; 4x +3y = 1

acc to our question-

learn more about solutions click here:

https://brainly.com/question/21616442

#SPJ13

Increasing data collection and streamlining the model are the answers to overfitting.

Given statement;

If your model performs great on the training data but generalizes poorly to new instances.

The possible solutions for the given condition is,

A model is probably overfitting the training data if it performs well on the training data but poorly on new examples (or we got extremely lucky on the training data). Obtaining more data, simplifying the model (choosing a simpler technique, reducing the amount of parameters or features utilized, or regularizing the model), or lowering the noise in the training data are all potential remedies for overfitting.

Hence, the solutions to overfitting are getting more data, simplifying the model.

To learn more about  overfitting click here:

brainly.com/question/5008113

#SPJ4

The Test value for difference between the mean numbers of calls for the two shifts at the 0.05 level of significance is 31.94

According to the question,

Karen's data:

Sample size : n₁ = 37

Sample mean = 4.5

Sample standard deviation : s₁ = 1.1

Jodi's data ,

Sample size : n₂ = 32

Sample mean = 5.3

Sample standard deviation : s₂ = 1.5

To calculate significance difference between two means we use t-test

t = difference of mean / √(pooled variance / n₁ + n₂)

Pooled Standard deviation = [tex]\sqrt(\frac{(n_1 - 1)s_1^{2} + (n_2 - 1)s_2^{2})}{n_1 + n_2 -2}[/tex]

=> [tex]\sqrt(\frac{(37 - 1)1.21+ (32 - 1)2.25)}{37 + 32 -2}[/tex]

=> [tex]\sqrt(\frac{(43.56+ 69.75)}{67}[/tex]

=>[tex]\sqrt(\frac{(113.31)}{67}[/tex]

=> √1.6911

t = 37 - 32 / (√1.6911/37+32)

=> 5 / √0.0245

=> 31.94  is test value

To know more about Test statistic here

https://brainly.com/question/14128303

#SPJ4

The ratio of tubes of blue paint to all of the tubes of paint used is 3/10

In this question, we have been given an artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural.

Total number of the tubes of paint used = 6 + 2 + 13 + 9

                                                                   = 30

the ratio of tubes of blue paint to all of the tubes of paint used would be,

9/30 = 3/10

Therefore,  the ratio of tubes of blue paint to all of the tubes of paint used is 3/10

Learn more about ratio here:

https://brainly.com/question/26974513

#SPJ9

The value of x for the given expression 25.75x + 22.00 = 19.50x+47.00 will be 4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

25.75x + 22.00 = 19.50x+47.00

25.75x - 19.50x = 47.00 - 22.00

6.25x = 25

x = 4

Hence "The value of x for the given expression 25.75x + 22.00 = 19.50x+47.00 will be 4".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ1

Answer:

$648

Step-by-step explanation:

Step-by-step explanation:

Answer:

Minimum Unit Cost = $14,362

Step-by-step explanation:

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.6

b = -108

c = 19,222

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

-(-108)/2(0.6) = 108/1.2 = 90

Plugging this value into original function would give us the minimum (unit cost):

Answer:

Each lap is 1.25 miles, so multiply the number of laps with 1.25 to get your answer.

Step-by-step explanation:

1 lap = 1.25 miles

2 laps = 2.5 miles

3 laps = 3.75 miles

4 laps = 5 miles

5 laps = 6.25 miles

6 laps = 7.5 miles

7 laps = 8.75 miles

8 laps = 10 miles

9 laps = 11.25 miles

10 laps = 12.5 miles