The number of students using a cell phone application doubles every seven days. The initial number of users is 100. Write an equation for f(t) which represents the number of students who are using the application after t days

Answers

Answer 1

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Initial number of users

[tex]N_0=100[/tex] [tex]\text{growth rate=doubles every seven days}[/tex]

[tex]100\% \longrightarrow 7\ days\\\\\frac{100}{100} \longrightarrow 7\ days\\\\1 \longrightarrow 7\ days\\\\[/tex]

When:

[tex]N=N_0\ 2^{rt}\\\\[/tex]

    [tex]=100\times 2^{rt}\\\\=100\times 2^{t\cdot \frac{1}{7}}\\\\=100\times 2^{ \frac{t}{7}}\\\\[/tex]

Checking the value:

After 14 days:

[tex]N=100\times 2^{ \frac{14}{7}}=400\\\\100 \overset{100\ days}{\rightarrow} 200 \overset{7 \ days}{\rightarrow}\ 400[/tex]


Related Questions

Plz I need help with this question

Answers

Rectangles 1 and 2 because the numbers are all changed by the same factor
20x2=40
30x2=60

Solve for x in the triangle round your answer to the nearest tenth
PLZ HELP ASAP I WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Answer:

x = 9.32

Step-by-step explanation:

For a right angles triangles , we can use trigonometry equations :-

In this case , we need to use sine equation in perpendicular :

sin θ = opposite side / hypotenuse

sin 58° = x / 11

x = sin 58 ° × 11

x = 0.84 × 11

x = 9.32852906

Round nearest tenth = 9.32

Please help thanks!

Answers

The answer is 10 I’m sure

Answer:

10

Step-by-step explanation:

=13+ 3^3 ÷9 we can change it to:

=13+ 3^3/-9

3^3 can be changed to 27

13+ 27/9

=13+−3

=10

For the figure​ shown, find m<1.

Answers

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

So, 56 + 58 + x = 180

      114 + x = 180

         x = 116

Now ∠ 1 + ∠x = 180      [ straight line angles]

       ∠ 1 + 66 = 180

        ∠1 = 180 - 66 = 114°

OR

You can use the rule : Exterior angle = sum of 2  interior opposite angles.

56 + 58 = ∠1

114 = ∠1

|2x+3|=7;2
help pls

Answers

Answer:

x = {-5, 2}

Step-by-step explanation:

unfamiliar with the notation 7;2

will solve for |2x + 3| = 7

Solution I -  the quanity inside the absolute value is 7

2x + 3 = 7

2x = 4

x = 2

Solution II -  the quanity inside the absolute value is –7

2x + 3 = –7

2x = -10

x = -5

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

x = {-5, 2}

Given m || n, find the value of x and y

Answers

Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

or

2(4x-5)+2y=360

divide both sides by 2

(4x-5)+y=180

distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

4x+y = 185

subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

x-5=11

add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

-121=-y

multiply both sides by -1

121 = y

These are some more questions

Answers

1) the first option
2) the third option i think
3) the second option
4) not too sure but maybe last option.

Enter a range of values for x.

Answers

Answer:   3 < x < 34

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

Explanation:

Ignore the sides that are 'a' units long.

We'll compare the sides that are 26 units and 27 units long. We see the 27 unit side is larger, which makes the 93 degree angle larger than the 3x-9 degree angle.

Symbolically, we would say

3x-9 < 93

At the same time, the 3x-9 is also larger than 0

So

3x-9 > 0 or 0 < 3x-9

Put together, we can form this compound inequality

0 < 3x-9 < 93

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

Let's isolate x like so

0 < 3x-9 < 93

0+9 < 3x-9+9 < 93+9 .... add 9 to all sides

9 < 3x < 102

9/3 < 3x/3 < 102/3 .... divide all sides by 3

3 < x < 34

x is any number between 3 and 34, but cannot equal either endpoint

For example, x = 10 is valid since 3 < 10 < 34 is true. But x = 50 is not a solution since 3 < 50 < 34 is false. We can't have x = 3 and we also can't have x = 34 either, but we can have anything in between those endpoints.

Which ordered pairis a solution to the system of inequalities graphed here​

Answers

Answer:

B. (1,4)

Step-by-step explanation:

If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.

Solve 3x2+7x+1=0 using the quadratic formula.

Answers

Answer:

[tex]x=\frac{-7+-\sqrt{37} }{6}[/tex]

Step-by-step explanation:

This (±) goes between the [tex]-7[/tex] and [tex]\sqrt{37}[/tex]

[tex]3x^{2} +7x+1=0[/tex]

[tex]ax^{2} +bx+c[/tex]

[tex]-b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]/2a

[tex]-7[/tex] ± [tex]\sqrt{(7)^2-4(3)(1)}[/tex]/2(3)

[tex]-7[/tex] ± [tex]\sqrt{49-12}[/tex]/6

[tex]-7[/tex] ± [tex]\sqrt{37}/6[/tex]

Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral ABCD. Which transformations could have taken place?

Answers

Answer:

The answer is "A 10 units down traduction, following by 8 pieces right traduction".

Step-by-step explanation:

Even as the changed image is similar to the original picture in rotation, reflections, and translations, so every point would be modified so that the examination of each point will provide several changes performed.

Consideration of paragraph A(-6, 4).

When a point (x, y) k is transferred down, it becomes (x, y-k).

So when 10 units are converted to A, it becomes (-6, -6).

When the point (x, y) k units are translated, it becomes (x+k and y)

This manner, it gets 8 units (-6, -6) to the right point (2, -6)

These are the A' coordinates.

Thus, quadrilateral ABCD was subjected to 10 further units of translation and 8 to the left. translations .

See image for question. Please show workings.
Sorry for the wobbly writing.

*freq= frequency.​

Answers

Answer:

See below and attached

Step-by-step explanation:

Refer to the graph attached

1. The mean is calculated using below table

Marks          Frequencies       Midpoint       Product

10 to 14              18                         12                216

15 to 19               9                         17                 153

20 to 24             11                         22                242

25 to 29             25                       27                675

30 to 34              14                        32                448

35 to 39              3                         37                 111      

Sum                    80                                          1845

The mean is:

1845/80 ≈ 23

2. The mode is the midpoint of the tallest bar.

The mode is

(25 + 29)/2 = 27

3. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.

Formula to calculate median:

L + ( (n/2 – F) / f ) * w

where

L: The lower limit of the median group = 25 n: The total number of observations = 80 F: The cumulative frequency up to the median group = 18 + 9 + 11 = 38 f: The frequency of the median group = 25 w: The width of the median group = 29 - 25 = 4

Substitute values and calculate:

25 + ((80/2 - 38)/25) *4 = 25.32

PLZZZZ NEED HELP!!!

Which answer choices correctly describe the points labeled A, B, and C in the box plot?

Answers

The first, second and last one

Write an
explicit formula for An, the nth term of the sequence 5,-1, -7,....

Answers

Answer:

-6n + 11

Step-by-step explanation:

The difference between each number is 6 (-6)

If n=1 then -6n + 11 =5

If n=2 the (-6×2) + 11 = -1

If n=3 the (-6×3) + 11 = -7

and so on.

You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.

:]

What is special about the factored form of answer N-16x2 - 1?

Answers

Answer:

Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.

Step-by-step explanation:

Every time you have a difference in the format of

A2−B2 you can factor as (A−B)(A+B).

Then you have to identify if your quantity is the difference of two squared quantities.

It is. In fact we can write it as:

16x2−1=(4x)2−12

Then we can apply our rule

[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]

What's the relationship between y and x

Answers

Answer:

Step-by-step explanation:

The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.

Find the interest rate if $6600 has
a final value of $8847 in 4 years.
Give your answer to 1 d.p.

Answers

Answer:

Interest = $ 2247.00

Step-by-step explanation:

principal=$6600

Amount=$8847

time=4 years

Interest=Amount - principal

=$8847 - $ 6600

=$2247 =

=$2247.00

{x+y=-4
{y=2x-1

Help please. Thanks in advance.

Answers

X+y=-4
2x-y=1
—————
3x=-3

X=-1

Now replace x in one of the equations to find y

Y=2(-1)-1= -3

Final answer =

X= -1

Y= -3

help with trigonometry plz

Answers

Answer:

Below,

Step-by-step explanation:

a. cos O = adjacent side/hypotenuse

= 88.3/117

= 0.75470

O = 41 degrees.

b. sin O = opposite side/hypotenuse

= 2.4/3.8

= 0.63158

O = 39 degrees

the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation

Answers

Answer:

78 x 160 /100

= 124.8

12 x 325/100

= 39

Step-by-step explanation:

Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?

Answers

Answer

12+10+10+50+2+3+1=88

Step-by-step explanation:

Answer:

Red pens: 4 boxes

blue pens: 2 boxes

black: 3 boxes

Step-by-step explanation:

.
What is the solution set of 4x = y and 2x - y=0

Answers

Answer:

x = 0 , y = 0

Step-by-step explanation:

given:

  [tex]4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0[/tex]

i need help with this!

Answers

Answer:

surface area of the square pyramid

=(10×10)+(2×10×8)

=100+160

=260 yd²

answer is first option

260 because yes yes and yes

A jar contains black beads and green beads. Forty percent of the beads in the jar are green. A number generator simulates randomly selecting 10 beads from the jar. The number generator is used 12 times and the number of green beads in each trial is shown in the dot plot. Which description is correct about the number generator being fair or not? The number generator is not fair. The dot plot shows that 4 of 10 beads drawn are often green. The number generator is fair. The dot plot shows a distribution that is skewed right. The number generator is fair. It shows that 40% of the beads selected are green most of the time. The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.

Answers

Answer:

The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green

Step-by-step explanation:

Given

[tex]Pr(Green) = 40\%[/tex]

See attachment for plots

Required

Is the number generator fair or not

From the number line, we have the following outcomes:

[tex]0 \to 1[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 7[/tex]

[tex]3 \to 2[/tex]

[tex]8 \to 1[/tex]

Divide each outcome by 12, to get the proportion of green in each trial

[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]

[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]

[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]

The above shows that the proportion of green in most of the trial is less than 40%

Hence, the number generator is not fair.

Answer:

D

Step-by-step explanation:

Can someone explain if this is correct. I’m unsure!

Answers

Answer:

Step-by-step explanation:

The value of a Van Gogh painting increases by 7.3% each year. If it was valued at $94,000 in 1952, what will be its estimated worth in 2020?

Answers

Answer:

$11,321,630

Step-by-step explanation:

We solve using Exponential growth formula

A(t) = Ao (1 + r)^t

Ao = Initial worth = $94,000

r = Growth rate = 7.3% = 0.073

t = Time in years = 2020 - 1952

= 68 years

A(t) = Current worth in 2020 = After 68 years

A(t) = 94000 × ( 1 + 0.073)^68

A(t) = 94000 × 120.44286946

A(t) = 11,321,629.729

Therefore, the estimated worth of the Van Gogh painting in 2020 approximately = $11,321,630

ILL GIVE YOU 5 STARS

Answers

Answer:

if the formela right

so this is the answer

You are taking a university course with a combined graduate and undergraduate enrollment. You know that there are many more undergraduate than graduate students enrolled in this course. There is a woman who looks to be about thirty sitting next to you. If you use only the base rate to guess her student status, you would guess that she is a(n) __________ student because __________.

Answers

Answer:

She is an undergraduate because more undergraduates are enrolled

Step-by-step explanation:

From the question, we understand that:

Undergraduate > Graduate

This represents the base rate

So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.

The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.

Congruent angle pairs : Find m

Answers

Answer:

75

Step-by-step explanation:

x+60 and 5x are vertical angles, which means they are equal

x+60 = 5x

Subtract x from each side

x+60-x = 5x-x

60 = 4x

Divide by 4

60/4 = 4x/4

15 =x

We want to find x+60

x+60

15+60

75

Answer:

∠GH = 75°

Step-by-step explanation:

x + 60° = 5x° ( vertical angles )

subtract x from both side

x - x + 60° = 5x - x

60° = 4x

divide each side by 4

60°/ 4 = 4x / 4

15 ° = x

To calculate, ∠GH

∠GH = x + 60 °

15 ° + 60° .. ( x = 15°)

= 75°

How do I do this trigonometry problem? or where do I even start.

Answers

Answer:

∅=6

Step-by-step explanation:

let ∅=x

[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]

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