Which figure repeats in the tessellation shown below?
A
B
C
D
A. Figure A
B. Figure C
C. Figure B
D. Figure D

If he starts paying after four years, the worth of the loans by then is b. $31,616.16

This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.

Hence, we can see that:

The effective monthly interest rate is:

i = 0.053/12 = 0.0044

The effective annual interest rate is:

i = (1 + 0.0044)^12 -1 = 0.0543

The present worth of all the loans is:

P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3

P = $22,671.40

If he pays them prompty, then the total lifetime cost would be

P = 22671.40 (1 + 0.0543)^4 = $31,616.16

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Circumference = diameter x pi

Circumference = 10 cm x 3.14

Circumference = 31.4 cm

Answer:

B. 8.75%

Explanation:

Answer:8.75

Step-by-step explanation:

To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.

The area of a rectangle is given as the product between the length and it's width.

Data;

[tex]area = length * width[/tex]

In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as

[tex]A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in[/tex]

We can see that the width are not equal so is their length.

But if we would truly compare them, the accurate way to do that is by their area

The area of the second gauze is given by

[tex]a = 3 * 4 = 12in^2[/tex]

From the above calculations, we can see that the sheets are not similar as they have different areas.

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Answer:

1,700mm

Step-by-step explanation:

1,750mm=175cm

5cm=50mm

1,750-50=1,700mm

gary's project uses 1,750 which is equal to 175 cm he already has 5cm of string which is equal to 50mm so he will need 1,700mm of string or 170cm

i hope this helps please feel free to point out any mistakes that i might have made

Answer:

Hamburger is 320 calories. Pack of french fries is 280 calories

Step-by-step explanation:

Represent Hamburgers as H and pack of French Fries as P then set up the equations

5H+2P=2160

4H+5P=2680

Multiply the first equation by 5

25H+10P=10,800

Multiply the second by 2

8H+10P=5360

Subtract the first equation by the second

25H+10P=10,800

-

8H+10P=5360

=

17H=5440

H=320

One hamburger is 320 calories.

Plug in 320 for H

5(320)+2P=2160

1600+2P=2160

2F=560

F=280

One pack of french fry is 280 calories

Answer:

x-intercept: [tex]\frac{3}{13}[/tex]  or about 0.231 which is also written as ([tex]\frac{3}{13}[/tex], 0)

y-intercept: 3 which is also written as (0, 3)

[Solution One]

   We can find the answer by graphing. See attached. The points at which the line intersects the different axes is the answer.

[Solution Two]

   We can solve by plugging into the equation. We will do this by setting the other variable, the one we aren't solving for, to 0.

For the x-intercept:

   y = −13x + 3

   (0) = −13x + 3

   0 - 3 = -13x + 3 - 3

   -3 = -13x

   [tex]\frac{3}{13}[/tex] = x

For the y-intercept:

   y = −13x + 3

   y = −13(0) + 3    

   y = 3

Answer:

B (-5, -2, 3, 8)

Step-by-step explanation:

Remember this because you'll probably need it

The range consists of all the y-values that make up a function. Since all of the y-values are [-5, -2, 3, 8], the answer is B

Answer: it is called the slope intercept

Answer: Slope-intercept form

Step-by-step explanation:

      The equation format of y = mx + b is slope-intercept.

-> m is the slope, or the steepness of the line

-> b is the y-intercept, or where the line intersects the y-axis.

Answer:

[tex] x = 75\degree[/tex]

Step-by-step explanation:

Answer:

Pay [tex]\$0.8[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.

There are two possible values for [tex]X[/tex]:

The probability of each value is:

The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:

[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].

The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].

The number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.

The arrangement of the different things or numbers in a number of ways is called the combination.

The possible outcomes for dice with 16 sides:-

{ 1,2,3,4,5,6,...............16}

The possible outcomes for dice with 20 sides:-

{ 1,2,3,4,5,6,...............20}

So the number of the possible pairs will be:-

=   16   x    20

=   320  pairs.

Therefore the number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.

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The theoretical probability of spinning and odd number will be 5/9.

The theoretical probability of spinning and odd number will be:

Number of odd numbers / Total number

= 5/9

The experimental probability of spinning an odd number is equal to:

= 5/10 = 1/2

Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

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The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

[tex]S=\dfrac{100+20}{100}\times30000\\S=36000[/tex]

He gets 6000 thousand extra after increment. Her annual income is,

[tex]S=36000\times12\\S=432000[/tex]

Before accepting the position, Janice wants to understand her potential cost of living.

Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

[tex]S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190[/tex]

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

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Answer:

Tn= -9+(n-1)×3

Step-by-step explanation:

d= t2-t1 =t3-t2....

=-6-(-9)=3

We realize that this is an arithmetic sequence

Therefore Tn= a + (n-1)d, whereby a if the first term= - 9,d=3

Tn=-9+(n-1)×3

Answer:An=-9+3(n-1)

Step-by-step explanation:

First, find the common difference (the amount you are adding each time). You can find this by taking the second term and subtracting the first term.  Now, identify the first term.  This is the first number in your list.  Finally, plug the first term in for A1 and the common difference in for d in the equation an=a1+d(n-1)  Note: Leave the variable n as part of the equation.

Answer:

the answer is 798 + 789 mawdgghhji the same time as the work of the Maroons

Answer:

Music place offers better buy with $12.50

Step-by-step explanation:

Explanation:

To solve, we need to find the cost for 1 CD at both places. To do this, divide the total amount by how many CDs are bought. At CD Express, $60/4=$15, while at Music Place, $75/6=$12.50. Since Music Place is cheaper, Music Place offers a better buy.

Answer:

three (3).

Step-by-step explanation:

H=O+A

c^2=5^2+12^2

c^2=25+144

c^2=169

c=√169

c=13

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of c using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = {5}^{2} + {12}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = \sqrt{25 + 144} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = \sqrt{169} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 13 \: units[/tex]

The volume of the unit cell that is a simple cubic is 1.1661622e⁻²⁰.

Volume is the space occupied by a three-dimensional object.

By the formula of volume of atom

[tex]\rm Volume(atom) = \dfrac{4}{3} \times \pi \times r^3\\Volume(atom) = \dfrac{4}{3} \times \pi \times (161 \times 10^-^2^3)^3\\Volume(atom) = 2.1574e^-^2^1[/tex]

There are total 4 atoms, in a  FCC unit cell.

The total volume is

[tex]2.1574e-21 \times 4 = 8.6296e^-^2^1[/tex]

Volume of a unit cell will be

[tex]\dfrac{8.6296e-21}{0.74} = 1.1661622e^-^2^0[/tex]

Thus, the volume of the unit cell is [tex]\rm 1.1661622e^-^2^0[/tex]

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The rule which represents the translation from the pre-image (Δabc), to the image (Δa'b'c') is (x, y) → (y, x).

A triangle simply refers to a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Based on this triangle, we can deduce the following points:

By critically observing the triangle, we can also deduce that points were swapped as (x, y) → (y, x) and this is a reflection across line y = x.

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Answer:

B

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

the sum of the interior angles of a triangle is 180

so,

70+47= 117

180-117= 63

Answer:

Your answer is 63°

Explanation:

47 + 70 + angle C = 180° (Sum of all angles of a triangle is 180).

117 + angle C = 180°

So,angle C =180 - 117= 63°

The division equation that has a quotient of 13 is 1/1/13 = 13

The given parameters are:

A division equation is represented as:

Dividend/Divisor = Quotient

Substitute 13 for the Quotient

Dividend/Divisor = 13

Recall that:

Unit fraction = 1/n

So, we have:

Dividend/1/n = 13

Let n = 13.

So, we have:

Dividend/1/13 = 13

This gives

13 * Dividend = 13

Divide both sides by 13

Dividend = 1

So, we have:

1/1/13 = 13

Hence, the division equation is 1/1/13 = 13

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Answer:

You can find the given attachment

Answer:

27565541.

Step-by-step explanation:

The new length, width, and the height of the cuboid are (L+2) inches, (W+2) inches, and (H+2) inches respectively

It is defined as the six-faced shape, a type of hexahedron in geometry. As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.

Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space. So the new length = (L+2) inches

New width = (W+2) inches

New height = (H+2) inches

Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.

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Answer:

There are 15 girls

Step-by-step explanation:

Given:- Ratio of boys to girls = 5:3

And, the number of boys = 75

let the girls be 5x and boys be 3x

so, 5 × 75 { given }

x = 75/5 = 15

6x= 6 × 15 = 90

6x/6 = 90/6 = 15

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Answer:

31 books

Step-by-step explanation:

1,055 ÷ 33 = 31.96

31 books

Answer:

The perimeter of his house: 256 ft

Step-by-step explanation:

length of living room = 2 x length of garage

                              =2 x 8 ft

                              =16 ft

width of living room  = 2 x width of garage

                             = 2 x 10 ft

                             = 20 ft

daniel house length =  3 x length of L.R

                            = 3 x 16 ft

                            =48 ft

daniel house width   = 4 x width of L.R

                             = 4 X 20 ft

                            = 80 ft

preimeter of rectangle = 2[l + b]

                               = 2[ 48 +80 ]

                              = 256 ft

perimeter of house = 256 ft