If David saves 5% of his $100
monthly allowance, how much will
have saved after 6 months?​

Answer:-17/12

Step-by-step explanation:

convert fractions, subtract

Answer:

(2,−6/7), (3,−12/7), and (6,−30/7)

Step-by-step explanation:

Answer:

2 ≤ x ≤ 7

Step-by-step explanation:

Due to the triangle inequality, the sum of two sides of a triangle must be greater than or equal to the remaining side.

Therefore,

5+7 ≥ 2x-2

=> 12 ≥ 2x-2

=> 14 ≥ 2x

=> 7 ≥ x

However, notice that BC + AB must be ≥ 7, So,

5 + 2x - 2 ≥ 7

=> 2x - 2 ≥ 2

=> 2x ≥ 4

=> x ≥ 2

Therefore, both bound of x have been found.

The possible values of x are 2< x < 7.

In a triangle, the sum of two sides is always greater than the third side. And the difference of two sides is always less than the third side.

Given,

First side = 5

Second side = 7

Therefore, sum of first and second side = 5 + 7

                                                                  = 12

Also, absolute difference of first and second side = 7 - 5

                                                                  = 2

Therefore, we can write:

                                2 < 2x - 2 < 12

Or                             4 < 2x < 14

                                 2 < x < 7

Hence, the possible values of x are 2< x < 7.

To learn more about side property of triangle visit:

https://brainly.com/question/28709672

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

________Hours of sleep______

Age ___<6__6-6.9___ 7-7.9 __≥8 ___total

≤ 39___38___60_____77____65____240

≥ 40___36___57_____75____92____260

A.) test of independence for row and column variables :

Null: row and column variables are independent

Alternative : row and column variables are not independent

Expected frequencies :

[(row total) * (column total] / sample size

E1: ((38+60+77+65)*(38+36))/500 = 35.52

E2: ((38+60+77+65)*(60+57))/500 = 56.16

E3: ((38+60+77+65)*(77+75))/500 = 72.96

E4: ((38+60+77+65)*(65+92))/500 = 75.36

E5: ((36+57+75+92)*(38+36))/500 = 38.48

E6: ((36+57+75+92)*(60+57))/500 = 60.84

E7: ((36+57+75+92)*(77+75))/500 = 79.04

E8: ((36+57+75+92)*(65+92))/500 = 81.64

Then performing the Chisquare independence test X²

X² = Σ[(f1-e1)²/e1 + (f2-e2)²/e2... (fn - en)²/en]

F1 to f8 = 38,60,77,65,36,57,75,92

X² = ((38-49.92)^2)/35.52 + ((60-56.16)^2)/56.16 + ((77-72.96)^2)/72.96 + ((65-75.36)^2)/75.36 + ((36-38.48)^2)/38.48 + ((57-60.84)^2)/60.84 + ((75-79.04)^2)/79.04 + ((92-81.64)^2)/81.64

= 4.0070162

X² = 4.00

α = 0.05

Reject Null if p < α

df = (row - 1)*( column - 1)

df = (2 - 1)*(4-1) = 1*3 = 3

To obtain the p value, we can use an online calculator to compute the P-value from the X² square score at α = 0.05 and 3 degree of freedom

p = 0.261

Since ; p > α ; 0.261 > 0.05 ; The result is not significant at α 0.05 ; Hence we fail to reject the Null.

Answer:

Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections

Hence, ∠DEG = ∠GEF --------------(1)

We are given the measure of these angles:

∠DEG = 3x - 4

∠GEF = x + 13

Now, replacing the values in (1):

3x - 4 = x + 13

2x = 17

x = 17/2

Now, finding the measure of ∠DEF:

∠DEF = ∠DEG + ∠GEF

∠DEF = 3x - 4 + x + 13

∠DEF = (51 / 2) - 4 + (17/2) + 13                      (x = 17/2)

∠DEF = 34 - 4 + 13

∠DEF = 43°

Answer:10 7/30

Step-by-step explanation: If correct please give me brainliest  Thank you ! :D

2 2/3 + 2 1/2 + 2 2/5 + 2 2/3 = 10 7/30

Answer:

10 7/30 or 10.23 hours

Step-by-step explanation:

2+2+2+2=8

(2/3)+(1/2)+(2/5)+(2/3)=67/30

67/30=2 7/30

2 7/30+8= 10 7/30

Answer:

10.48

Step-by-step explanation:

Answer:

10.48 mi

Step-by-step explanation:

2.62 times 4= 10.48

Answer:

x= 3 ; the answer choice D.

Step-by-step explanation:

EDGE 2020, just took the test.

Answer:

(-2,7)

Step-by-step explanation:

Remember: (x, y), Substitute the numbers:

1. (-3, 6)

5 • -3 + 4 • 6 = 18

-15 + 24 = 18

9 = 18 X, incorrect

2. (2, 4)

5 • 2 + 4 • 4 = 18

10 + 16 = 18

26 = 18 X, incorrect

3. (8, 2)

5 • 8 + 4 • 2 = 18

40 + 8 = 18

48 = 18 X, incorrect

4. (-2, 7)

5 • -2 + 4 • 7 = 18

-10 + 28 = 18

18 = 18, ☆, correct!

Answer:

X ≥ 112,6 $

Step-by-step explanation:

Normal Distribution  N ( 95 , 16 )

μ₀ = 95

σ  =  16

We need to get z (score) for area 0,1357; then from z - Table we get

z (score) = 1,1

Now  z (score ) = ( X - μ₀ )/σ

1,1 = ( X - 95 ) / 16

17,60 + 95  = X

X = 112,6 $

That means that in order to get a gift customes has to spend at least 112,6 $

Answer:

4,368

Step-by-step explanation:

take 600 and add 4% to get 624

then take the 624 and multiply by 7

and the answer is 4,368

let's see what to do buddy...

_________________________________

_________________________________

Step (1)

We have 600 $ .

One year later ;

[tex]600 + (600) \times \frac{4}{100} = 600 + 24 = 624 \\ [/tex]

Now we have 624 $.

_________________________________

Step (2)

One year later :

[tex]624 + (624) \times \frac{4}{100} = 624 + 24.96 = \\ 624 + 25 = 649 [/tex]

After two years we have 649 $.

_________________________________

Step (3)

One year later :

[tex]649 + (649) \times \frac{4}{100} = 649 + 25.96 \\ 649 + 26 = 675 [/tex]

After three years we have 675 $.

_________________________________

Step (4)

One year later :

[tex]675 + (675) \times \frac{4}{100} = 675 + 27 = 702 \\ [/tex]

So after four years we have 702 $.

_________________________________

Step (5)

One year later :

[tex]702 + (702) \times \frac{4}{100} = 702 + 28.08 \\ 702 + 28 = 730 [/tex]

After five years we have 730 $.

_________________________________

Step (6)

One year later :

[tex]730 + (730) \times \frac{4}{100} = 730 + 29.20 \\ 730 + 29 = 759 [/tex]

So After six years we have 759 $.

_________________________________

Step (7)

One year later :

[tex]759 + (759) \times \frac{4}{100} = 759 + 30.36 \\ 759 + 30 = 789 [/tex]

So after seven years we have 789 $.

_________________________________

There's no any more steps.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

tbh not sure sorry hope somebody anwsers

Step-by-step explanation:

Step-by-step explanation:

1. 120+21 =141

2. 21-3=18

3. 7x-21

4. 4x+20

5. 45+100=145

6. 40+5c

7. 20+22r+26s

Im not too sure about the other question

Answer:

Step-by-step explanation:

Let the weight of a pen be x

Then its weight can be between

This can be shown as

Answer:

What are the angles

Step-by-step explanation:

List all the angles

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation

(5x+3x)+(-32+12)=180

8x-20=180

Step 2: Add 20 to both sides.

8x-20+20= 180+20

              8x= 200

Step 3: Divide both sides by 8

8x/8= 200/8

     x= 25

Answer:

5, 25, 109

Step-by-step explanation:

5, 25, 109, 2725 divided by 5, 5, 109, gives no remainder. They are integers and prime numbers of 2725, they are also called composite number.

Answer:

...................................

Answer:

the rate iof change is 286

Step-by-step explanation:

Answer:

Rate of Change is 65

Step-by-step explanation:

260/4 = 65

585/9 = 65

845/13 = 65

1105/17 = 65

1625/25 = 65

Answer:

[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]

Step-by-step explanation:

(y=x^2+1)^-1=

x=y^2+1

x-1=y^2

+ or -sqrt(x-1)=y

therefore, y=

[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]

Answer:

15707.96ft³

Step-by-step explanation:

Answer:

24x+29

Step-by-step explanation:

Answer:

15x^2+12x+11

Step-by-step explanation:

Hope this helps!

Answer:

56.54866776

Step-by-step explanation:

:) Hope this helps

56.5486677646

or just 56.54 works :)

Answer:

C

Step-by-step explanation:

Answer:

∠1 = ∠3 = ∠5 = ∠7 = 72°

∠2 = ∠4 = ∠6 = ∠8 = 180° -72° = 108°

∠13 = ∠14 = ∠15 = ∠16 = ∠17 = ∠18 = ∠19 = ∠20 = 90°

∠10 = ∠12 = 90° -72° = 18°

∠9 = ∠11 = 180° -18° = 162°

Step-by-step explanation:

Answer:

And....? Is there anything else to it?

Answer:

The first one is 0,4 and the other is 5,2