Genevieve deposited $400 into her bank account. The equation A(t) = 400(1.07) can be used to calculate the value of her money after
t years. What is the annual interest rate she is earning on her deposit?

Answer:

each bag weights 1,500 grams

Step-by-step explanation:

there are 1000 grams in a kilogram

6 times 1000 is 6000

6000 divided by 4 is 1500

Answer:

1.5 i think

Step-by-step explanation:

6/4

9514 1404 393

Answer:

  8) ΔCAB ~ ΔFDE; SSS

  9) ΔMNQ ~ ΔPNO; SAS

  10) ΔDBE ~ ΔABC; SAS

Step-by-step explanation:

8) The side ratios, shortest to longest, are ...

  6 : 8 : 10 = 9 : 12 : 15 = 3 : 4 : 5

so are the same for both triangles. Triangles CAB and FDE are similar by SSS.

__

9) MN/NQ = PN/NO = 6/5 = 12/10. The vertical angles between these corresponding sides are congruent. Triangles MNQ and PNO are similar by SAS.

__

10)  BD/BA = BE/BC = 21/28 = 24/32 = 3/4. The shared angle between the corresponding sides is congruent to itself. Triangles DBE and ABC are similar by SAS.

Answer:

140°

Step-by-step explanation:

Three angle are labeled below the acre. The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a

The value of the smallest angle is given as:

= 3/8 of the 160 angle

=3/8 × 160°

= 60°

The sum of the total angle = 360°

Hence:

360° = 60° + 160° + a

a = 360° - (60° + 160°)

a = 360° - 220°

a = 140°

Therefore, a = 140°

Answer:

76

Step-by-step explanation:

khan x math

Answer:

x = - 6    

Step-by-step explanation:

Equation

1/3 * (-9x +12) = 22                Multiply both sides by 3

Solution

3 * 1/3(-9x + 12) = 22*3

- 9x + 12 = 66                        Subtract 12 from both sides.

-9x = 66 - 12                         Combine

-9x = 54                                Divide by -9

x = 54/-9

x = - 6

Answer:

A. 9.18 x [tex]10^{5}[/tex]

B.12002

Step-by-step explanation:

Answer:

a is the answer

Step-by-step explanation: i k n o w

Answer:

(b) 217 cm

Step-by-step explanation:

The computation of the number of centimeters will each have is shown below:

= Length of the string ÷ number of pieces

= 10.85 meters ÷ 5

= 2.17 meters

= 217 centimeters

hence, the correct option is b.

Answer:

A and E

Step-by-step explanation:

The perimeter is the length of the edge of the overall shape. In this case, the edge includes the length of the curved section of both semicircles (since semicircles are the same size, we can just find the circumference for a circle with the same radius), plus four side lengths of the square.

The radius is 10 (Two squares line up exactly with the semi-circles).

Circumference: 2πr=2π10=20π

Perimeter =20π+4(10)=40+20π

A

40+20π=40+20π? YES

B

40+20π=80+20π? NO

C

40+20π=120+30π? NO

D

40+20π=300+100π? NO

E

40+20π=10+10+10π+10+10+10π? YES

Answer:

Number 1: -8.7. Number 2: -2

Step-by-step explanation:

To find the first one, subtract 11 from 2.3.

2.3-11= -8.7 , so that's the answer for the first one.

To find the answer to the second one, just do -4+-2=-2, so that's the answer for the second one.

Answer:

Step-by-step explanation:

(x+9)² + (y-6)² = 9²

From corresponding angles theorem, we can see the 2 angles are equal.

16x+13=18x-1

2x=14

x=7

Done!

Any questions just leave them in the comments and I will answer.

Answer:

Step-by-step explanation:

i think you do 34x + 12

bc it is a same side interior angle and i think that equals 180 and then you

34x+12=180

      -12  - 12

34x=       168

------          ------

34              34

----------------------

i.dk i think it is 5 bc you get 4.98 so you round the 8 and it makes it a 4.10 which is 5

Answer:

A

Step-by-step explanation:

y component=17 sin 81≈16.7907≈16.8

Answer:

-2<x<3

Step-by-step explanation:

Answer:

270 seconds

Step-by-step explanation:

Melissa's time = x seconds

Abby's time = (x + 30) seconds

Abby walks at a speed of 8 feet per second, and Melissa walks at a speed of 9 feet per seconds.

But, speed = [tex]\frac{distance}{time taken}[/tex]

For Abby,

8 = [tex]\frac{distance}{(x + 30)}[/tex]

distance = 8(x + 30) ................. 1

for Melissa,

9 = [tex]\frac{distance}{x}[/tex]

distance = 9x ............. 2

From equations 1 and 2, for the same distance;

8(x + 30) = 9x

8x + 240 = 9x

x = 240 seconds

Abby's time = (x + 30)

                    = (240 + 30)

                    = 270 seconds

So that Abby has been walking for 270 seconds when both students had walked exactly the same distance.

The time taken is 270 seconds.

Given that,

Based on the above information, the calculation is as follows:

8(x + 30) = 9x

8x + 240 = 9x

x = 240

So Abby time should be

= 240 +  30

= 270

Learn more: brainly.com/question/17429689

Answer:

3,600

Step-by-step explanation:

(22 - 2) x 180

20 x 180

3,600

Answer:

64 units2

Step-by-step explanation:

16 x 8 / 2 =

128 / 2 =

64

Hope that helps!

Answer:

6

Step-by-step explanation:

because 3 pieces

divided by 2 because there half pieces.

Answer:

Step-by-step explanation:

Second box

Answer:

it is actually the first box

Step-by-step explanation:

Answer:

answer is 0

..................3rd option

Answer:

x=1,y=-1

x3+y3=(1)3+(-1)3=1-1=0

so, answer is (c) 0

Answer:

An event with a probability of zero [P(E) = 0] will never occur (an impossible event). An event with a probability of one [P(E) = 1] means the event must occur (a certain event).

Hope it helps!!

Answer:

3 and 7

Step-by-step explanation:

because 7 + 3= 10 and 7 x 3= 21

most likey your answers are x=3 and y=7 OR x=7 and y=3

Answer:

10

Step-by-step explanation:

As I understand it, we are asking for 3/5 = 6/x, what is x?

You cross-multiplythe numerators and denominators.

3x = 30

x = 10

And 3 is to 5 as 6 is to 10.

In each case, the fraction = 0.6

The fourth proportion of 3: 5:: 6:__ is 10.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

Given, the proportional of 3: 5:: 6: ___  To find the fourth proportional

Let x be the fourth proportional.

Thus,

[tex]\frac{3}{5} = \frac{6}{x}[/tex]

x = (5*6)/3

x = 5*2 = 10

therefore, The fourth proportion of the given data is 10

Learn more about proportionality here:

https://brainly.com/question/29126727

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Correct question:

Find The fourth proportion of 3: 5:: 6:__

Answer:

(5, 1 )

Step-by-step explanation:

Given the 2 equations

3y - 2x = - 7 → (1)

5x + 3y = 28 → (2)

Rearrange (1) expressing 3y in terms of x by adding 2x to both sides

3y = - 7 + 2x

Substitute 3y = - 7 + 2x into (2)

5x - 7 + 2x = 28

7x - 7 = 28 ( add 7 to both sides )

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5(5) + 3y = 28

25 + 3y = 28 ( subtract 25 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (5, 1 )

Answer:

-(3y-2x= -7)

3y+5x= 28

-3y+2x= 7

3y+5x= 28

7x=35

7x/7= 35/7

x=5

5(5)+3y= 28

25+3y=28

3y= 28-25

3y=3

3y/3=3/3

y= 1

3y-2x= -7

3(1) -2x= -7

3-2x= -7

-2x= -7-3

-2x= -10

-2x/-2=-10/-2

x= 5

chekin

5x+3y=28

5(5)+3(1)=28

25+3=28

28=28

Answer:

C

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

Answer:

x = -3 hope this help  

Answer:

Step-by-step Here is the answer I just did it and answer is 90 degrees

Pls mark me brainlyis would like if yo do that :)

I got it wrong just for enjoy

if square ABCD were Rotated 90 clockwise about the origin to create square A’B’C’D. The measure of angle B  is: D. 90.

Given

ABCD=90 Clockwise

Hence:

Rotation will not change the size and figure

Square ABCD≅ Square  A’B’C’D

m∠B=90°

So,

m∠B'=m∠B=90°

Therefore the correct option is D.

Learn more about measure of angle here:https://brainly.com/question/25716982

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Answer:

46 unit^2

Step-by-step explanation:

Total surface area=2.5*4*2+2*2.5*2+2*4*2=46