Alex started a new social media account,which he used to post pictures of cute animals. On the first day he only had 8 followers.a However his account became popular very quickly and the numbers of the followers tripled everyday. Identify how many followers he had in the 5th day.

Answer:

$7200

Step-by-step explanation:

The interest rate on $5,000 accumulated by Edgar is 20%.

He does not make any payment for 2 years and the interests are compounded continuously.

The amount of money he owes after 2 years is the original $5000 and the interest that would have accumulated after 2 years.

The formula for compound amount is:

[tex]A = P(1 + R)^T[/tex]

where P = amount borrowed = $5000

R = interest rate = 20%

T = amount of time = 2 years

Therefore, the amount he will owe on his debt is:

[tex]A = 5000 (1 + 20/100)^2\\\\A = 5000(1 + 0.2)^2\\\\A = 5000(1.2)^2\\[/tex]

A = $7200

After 2 years, he will owe $7200

Answer:7,434.57

Explanation: A= 5000(1+0.2/12)^12•2

Answer:

6y +2x +7

Step-by-step explanation:

10 + 6y + 2x - 3​

The only like terms are the constant

6y+2x +10-3

6y +2x +7

Answer:

2x + 6y + 7.

Step-by-step explanation:

10 + 6y + 2x - 3

= 2x + 6y - 3 + 10

= 2x + 6y + 7.

Hope this helps!

Answer:

4, 5 and 6

Step-by-step explanation:

Consecutive means right next to each other.

4 x 5 x 6 = 120 cubic inches.

4 X 5 = 20

20 X 6 = 120

The values of the consecutive numbers will be 4, 5, and 6.

Let the numbers be represented by a, a+1, and a+2.

Therefore, a(a+1)(a+2) = 120

a³ + 3a² + 2a = 120

a = 4

Therefore, a + 1 = 4+1 = 5

a + 2 = 4 + 2 = 6

Therefore, the values will be 4, 5, and 6.

Read related link on:

https://brainly.com/question/18962438

Answer:

Part A speed=96*2=192km/h

Step-by-step explanation:

Two parts, parts A and part B

Part A=200% more than B

Let part B=x

Part A=200 more than B

=2x

Speed ratio=2:1

Average speed of train=64km/h

Let Part A speed=2x

Part B speed=x

A:B=2:1

Total ratio =3

Speed in the part A can be calculated thus:

Totatl speed= ratio of speed in part A / total ratio

64=2x/3

192=2x

x=96km/h

Part A speed=96*2=192km/h

Answer:

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as shown;

CI = xbar ± Z(б/√n)

xbar is the sample mean

Z is the value at 95% confidence interval

б is the standard deviation of the sample

n is the number of samples

Given xbar = 14.2, Z at 95% CI = 1.96, б = 0.70 and n = 9

Substituting this values into the formula;

CI = 14.2 ± 1.96(0.70/√9)

CI = 14.2 ± 1.96(0.70/3)

CI = 14.2 ± 1.96(0.2333)

CI = 14.2 ± 0.4573

CI = (14.2-0.4573, 14.2+0.4573)

CI = (13.7427, 14.6537)

Hence, the 95% confidence interval of the true mean is within the range

13.7≤[tex]\mu[/tex]≤14.7 (to 1 decimal place).

Answer:

[tex]\large \boxed{\sf \begin{aligned}9567&\\+1085&\\----&-\\10652&\\\end{aligned}}[/tex]

Step-by-step explanation:

Hello, let's do it step by step and see what we can find.

[tex]\begin{aligned}\text{ SEND}&\\+\text{ MORE}&\\-----&-\\\text{ MONEY}&\\\end{aligned}[/tex]

We assume that M is different from 0, otherwise we could find several different solutions I would think.

It means that S + M is greater than 10, otherwise the number of digit of the result would have been 4 and not 5.

The only possible number for M is then 1. M = 1

[tex]\begin{aligned}\text{ SEND}&\\+\text{ \boxed{1}ORE}&\\-----&-\\\text{ \boxed{1}ONEY}&\\\end{aligned}[/tex]

But then, S can only by 9, otherwise S + 1 < 10. S = 9

S + 1 = 10 + O if there is no carry over, so S = 9 + O

1 + S + 1 = 10 + O if there is a carry, so S = 8 + O

So O = 0 or O = 1. Wait !? M is already equal to 1 so O must be 0

E cannot be equal to N so 1 + E = N, meaning that there must be a carry over from column second from the right.

and E < 9 as we know that there is no carry over from column 3 from the right.

N + R = 10 + E => 1 + E + R = 10 + E => R = 9, impossible, as S=9

or 1 + N + R = 10 + E => 1 + 1 + E + R = 10 + E => R = 8

And there is a carry over from the column 1 from the right, so:

Y cannot be 0 or 1, as already used so D + E > 11

8 and 9 are already taken so we could have 7 + 5 = 12, 7 + 6 = 13 and that's it.

It means that E is 7 or D is 7.

If E is 7 then E+1=9=N, impossible, so D = 7

Then, E is 5 or 6

if E = 6 E + 1 = N = 7, impossible, so E = 5 and N = 6.

And 7 + 5 = 12 so Y = 2.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:A

Step-by-step explanation:

Answer:

what we have to tell

Step-by-step explanation:

please send the correct information

Answer:

The answer on PLATO is Graph Z.

Step-by-step explanation:

I just had this question and got it right!!!

Hope this Helps!!!

Answer:

1). f(x) = x² if ∞ < x < 2

2). f(x) = 5 if 2 ≤ x < 4

Step-by-step explanation:

The graph attached shows the function in two pieces.

1). Parabola

2). A straight line parallel to the x-axis.

Standard equation of a parabola is,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the given parabola is (0, 0).

Equation of the parabola will be,

y = a(x - 0)² + 0

Therefore, the function will be,

f(x) = ax²

Given parabola is passing through (-1, 1) also,

1 = a(-1)²

a = 1

Therefore, parabolic function will be represented by,

f(x) = x² if ∞ < x < 2

2). Straight line parallel to the x-axis,

y = 5  if 2 ≤ x < 4

Function representing the straight line will be,

f(x) = 5 if 2 ≤ x < 4

Answer:

Please mark me as Brainliest :)

Step-by-step explanation:

Let's simplify step-by-step.

3(2x+1)−2(x+1)

Distribute:

=(3)(2x)+(3)(1)+(−2)(x)+(−2)(1)

=6x+3+−2x+−2

Combine Like Terms:

=6x+3+−2x+−2

=(6x+−2x)+(3+−2)

=4x+1

4x+1 is the answer to the question

Answer:

(C) Translation of 2 units right, 1 up, and a reflection over the y-axis.

Step-by-step explanation:

Ideally, we are looking for a reflection of the red image over the y-axis, and to do that, we can see how we need to move the black image.

In order for points Q and Q' to be a reflection of each other, they need to have the same y value, and be the exact same distance from the y axis, so the point that Q has to be at is (-1,-3).

Q is right now at (-3,-4) so we can translate this.

To get from -3 to -1 in the x-axis, we go right by 2 units.

To get from -4 to -3 in the y-axis, we go up one unit.

Now, if we reflect it, the triangles will be the same.

Hope this helped!

Answer:

C.

Step-by-step explanation:

When you study the images, it is clear that the black triangle has to be reflected over the y-axis to face the same direction as the red triangle. So, choice A is eliminated.

Once you reflect the black triangle across the y-axis, you have points at (-1, -1), (3, -4), and (3, -2). Meanwhile, the red triangle's coordinates are at (-3, 0), (1, -3), and (1, -1). From these points, you can tell that the x-values differ by 2 units and the y-values differ by 1 unit.

All of these conditions match the ones put forth in option C, so that is your answer.

Hope this helps!

Answer:

Step-by-step explanation:

Given,

AD = 38

EB = 7x - 4

FC = 6x - 6

Now, we have to find the value of X

[tex]eb \: = \frac{1}{2} (ad \: + fc \: )[/tex] ( Mid segment Theorem )

Plug the values

[tex]7x - 4 = \frac{1}{2} (38 + 6x - 6)[/tex]

Calculate the difference

[tex]7x - 4 = \frac{1}{2} (32 + 6x)[/tex]

Remove the parentheses

[tex]7x - 4 = \frac{32}{2} + \frac{6x}{2} [/tex]

[tex]7x - 4 = 16 + 3x[/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex]7x - 3x = 16 + 4[/tex]

Collect like terms

[tex]4x = 16 + 4[/tex]

Calculate the sum

[tex]4x = 20[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{20}{4} [/tex]

Calculate

[tex]x = 5[/tex]

The value of X is 5

Now, let's find the value of EB

EB = 7x - 4

Plug the value of X

[tex] = 7 \times 5 - 4[/tex]

Calculate the product

[tex] = 35 - 4[/tex]

Calculate the difference

[tex] = 31[/tex]

The value of EB is 31

Hope this helps..

Best regards!!

Answer:

B

Step-by-step explanation:

To solve this you do 80/100=.8

You than do .8×60= 48

Answer:

sec y=6/b         yw  

Step-by-step explanation:

Answer:

B. y > 2/3x + 1

Step-by-step explanation:

To find slope we'll use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

(-3,-1) (3,3)

3 - -1 = 4

3 - -3 = 6

2/3x

The y intercept is 1,

we know this because that's the point the line touches the y axis.

Thus,

the answer is B. y > 1/3x + 1.

Hope this helps :)

The graph of the solution of an inequality is given .

The graph represents the inequality is [tex]y>\frac{2}{3} x+1[/tex]

Option B

Given :

The graph of an inequality. To find the inequality for the given graph we use linear equation [tex]y=mx+b[/tex]

where m is the slope and b is the y intercept

To find out slope , pick two points from the graph

(-3,-1) and (3,3)

[tex]slope =\frac{y_2-y_2}{x_2-x_1} =\frac{3+1}{3+3} =\frac{2}{3} \\m=\frac{2}{3}[/tex]

Now we find out y intercept b

The point where the graph crosses y axis is the y intercept

The graph crosses y axis at 1

so y intercept b=1

The linear equation for the given graph is

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

Now we frame the inequality . we use test point that lies inside shaded region

Lets take (4,5)

[tex]y=\frac{2}{3} x+1\\5=\frac{2}{3} (4)+1\\5=3.6\\5>3.6\\y>\frac{2}{3} x+1[/tex]

The inequality for the given graph is

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

Learn more : brainly.com/question/24649632

Answer:

16

Step-by-step explanation:

(-8)^4/3

-(8^1/3)⁴

-(∛8)⁴

-(2)⁴

-2⁴

= 16

Answer: the ^^^^ right I check it

Step-by-step explanation:

Answer:

12/18 and 10/15

Step-by-step explanation:

12/18 simplifies into 2/3

10/15 simplifies into 2/3

12/20 simplifies into 3/5

10/25 simplifies into 2/5

8/16 simplifies into 1/2

3/4 simplifies into 3/4

5/3 simplifies into 5/3

3/5 simplifies into 3/5

The pairs consist of equivalent fractions will be 12/20 and 10/25. Then the correct option is A.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

Let's check all the options, then we have

A) 12/18 and 10/15

12/18 and 10/15

2/3 and 2/3

Yes, they are equivalent fraction numbers.

B) 12/20 and 10/25

12/20 and 10/25

3/5 and 2/5

They are not equivalent fraction numbers.

C) 8/16 and 3/4

8/16 and 3/4

1/2 and 3/4

They are not equivalent fraction numbers.

D) 5/3 and 3/5

5/3 and 3/5

They are not equivalent fraction numbers.

The pairs consist of equivalent fractions will be 12/20 and 10/25. Then the correct option is A.

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ2

Answer:

Hello There!!

Step-by-step explanation:

Your answer will be 83/99. Because, We have to expressed the 0.83¯ as a fraction in simplest form. Let x = 0.83¯ = 0.8383. Then, We have to multiply by 100 to both sides we have: 100x = 83.8383. After, Subtract (One) to (Two) we will have: 99x = 83. Then, We will divide both sides by 99 we have: x = 83/99. Therefore, the 0.83¯ as a fraction in simplest form is, 83/99. Hope This Helps!!~ Sorry, If the example confusing...

Answer:median:249    

Step-by-step explanation:

median:198] 216} 220] 236] 246 252 [253[ 260 {290[ 369

246 +252=498

498/2=249

as for the mean  i will give you that later

Answer:

The correct answer is:

$12.00 and up to $15.00 (D)

Step-by-step explanation:

Let us arrange the data properly in a tabular format.

Hourly Earnings($)         6 - 9          9 - 12     12 - 15

Frequency                          16              42          10

The frequency of a distribution is the number of times that distribution occurs in a particular group of data or intervals.

From the frequency table above the following observations can be made:

Highest frequency = 42 (hourly earnings of $9 - $12)

smallest frequency = 10 ( hourly earnings of $12 - $15)

This means that among a total of 68 workers (16 + 42 + 10), the people earning $12 - $15 form the smallest group (only 10 people), while 42 workers earn $9 - $12, forming the largest majority

Answer:

Its D

Step-by-step explanation:

x=11 and x=18

Answer:

The confidence interval is  [tex]25.16 < \mu < 26.85[/tex]

Step-by-step explanation:

From  the question we are given a data set

     25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is  

       [tex]\= x = \frac{\sum x_i}{n}[/tex]

where is the sample size with values  n =  10

         [tex]\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}[/tex]

          [tex]\= x = 26[/tex]

The standard deviation is evaluated as

             [tex]\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }[/tex]

substituting values

     [tex]= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }[/tex]

                  [tex]\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }[/tex]

     [tex]\sigma = 1.625[/tex]

The  confidence level is given as 90% hence the level of significance is calculated as

    [tex]\alpha = 100 -90[/tex]

    [tex]\alpha =10[/tex]%

   [tex]\alpha = 0.10[/tex]

Now the critical values of [tex]\frac{\alpha }{2}[/tex] is obtained from the normal distribution table as

      [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

The reason  we are obtaining  the critical values of [tex]\frac{\alpha }{2}[/tex] instead of  [tex]\alpha[/tex] is because  we are considering two tails of the area under the normal curve

  The margin of error is evaluated as

            [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

           [tex]MOE = 1.645 * \frac{1.625 }{\sqrt{10} }[/tex]

           [tex]MOE = 0.845[/tex]

The  90%, two sided confidence interval is mathematically evaluated as

           [tex]\= x - MOE < \mu < \= x + MOE[/tex]

           [tex]26 - 0.845 < \mu < 26 + 0.845[/tex]

           [tex]25.16 < \mu < 26.85[/tex]

Given that the lower and the upper limit is greater than  25 then we can assure the manufactures  that the battery life exceeds 25 hours

Answer:

[tex]\large\boxed{\sf \ \ \ 1757 \ km^2 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

I would recommend that you checked the answers I have already provided as this is the same method for all these questions, and maybe try to solve this one before you check the solution.

At the beginning the area is 2100

After one year the area will be

   2100*(1-3.5%)=2100*0.965

After n years the area will be

   [tex]2100\cdot0.965^n[/tex]

So after 5 years the area will be

   [tex]2100\cdot0.965^5=1757.34027...[/tex]

So rounded to the nearest square kilometer is 1757

Hope this helps

Answer: 1757 km²

Step-by-step explanation:

Because 3.5% = 0.035, first do 1-.035 to get .965.  Then do 2100*.965*.965*.965*.965*.965 to get 1757.34027.

Answer:

b = sqrt(57)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + b^2 = 11^2

64+ b^2 = 121

Subtract 64

b^2 = 121-64

b^2 =57

Take the square root of each side

b = sqrt(57)

Answer:

"Compactness" is the right answer.

Step-by-step explanation:

So that the above would be the correct answer.

Answer:

B. 168 students

Step-by-step explanation:

Given that there are a total of 600 students.

28% of the students pack their lunch.

To find:

Total number of students who pack their lunch = ?

Solution:

Percentage of a given number is calculated using the following method.

[tex]y\%[/tex] of a number [tex]x[/tex] is given by:

[tex]x \times \dfrac{y}{100}[/tex]

i.e. multiply the number by percentage to be found and divide by 100.

So, we have to find 28% of 600 here, to find the answer to the question.

[tex]\therefore[/tex] Number of students who pack their lunch is given as: (Multiply the given number 600 with 28 and divide by 100.)

[tex]600 \times \dfrac{28}{100}\\\Rightarrow 6 \times 28\\\Rightarrow \bold{168}[/tex]

So, the correct answer is:

B. 168

Answer:

484 cm^2.

Step-by-step explanation:

The length of the circumference = diameter * pi

= 14 * 22/7

The area of the curved surface = circumference * height

= 14 * 22/7 * 11

= 484.

Answer:

(-1,-2)

Step-by-step explanation:

[tex]6x-y=-4\\y=6x+4\\y=6(-2)+4=-8\\y=6(-1)+4=-2\\y=6(0)+4=4[/tex]

so the only one is (-1,-2)

Answer:

4.2 in

Step-by-step explanation:

let us first visualize the sail as a triangular shape

the angle of the triangle from top is 40°

the height of the triangle is give as 5 in

we can apply SOH CAH TOA to solve for the base of the sail

the opposite = the base of the sail

the adjacent = the height of the sail= 5 in

therefore

Tan∅= Opp/Adj

Tan(40)= Opp/5

Opp= Tan(40)*5

Opp= 0.8390*5

Opp= 4.195 in

Hence the width of the sail is 4.2 in to the nearest tenths

Answer:

4.2

Step-by-step explanation: