A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently ​(t​0) has​ 26,000 daily subscribers and management expects that​ number, S(t), to grow at the rate of subscribers per​ day, where t is the number of days since the campaign began. How long​ (to the nearest​ day) should the campaign last if the newspaper wants the number of daily subscribers to grow to​ 49,000?

Answers

Answer 1

Answer:

57 days

Step-by-step explanation:

Given that:

t(0) = 26000

Growth rate (S'(t)) = 80t^1/2

Targeted number of subscribers = 49000

Take the integral of the growth rate :

∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C

[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C

(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C

(160/3)t^3/2 + C

Let C = t(0)

(160/3)t^3/2 + 26000 = 49000

(160/3)t^3/2 = 49000 - 26000

(160/3)t^3/2 = 23000

Multiply both sides by 3/160

t^3/2 = 23000* 3/160

t^3/2 = 69000/160

t^3/2 = 431.25

t^(3/2 * 2/3) = 431.25^2/3

t = 57.080277

t = 57 days (approx.)


Related Questions

Solve for x: x + 4 = 10 *
Your answer

Answers

Answer:

6

Step-by-step explanation:

A way to answer these questions like I usually do is to subtract the result by the number you already know, like this;    10-4=6, so 6 would be what X equals, or you can just take the long way and keep guessing what the answer would be and keep doing the problems, but that would be very time consuming so I would recommend just doing the subtraction method!

Hope this helps!

Answer:

x = 6

Step-by-step explanation:

x + 4  = 10

=> x = 10 - 4

=> x = 6

Describe the similarities and differences between a bar graph and a histogram.​

Answers

Answer:

Bar graphs are used with nominal or ordinal scores; histograms are used with interval or ratio scores.

Step-by-step explanation:

Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?

Answers

twenty five cents !!!!

Miss Johnson walks at a rate of 2 miles
per hour.
x = hour
y = miles walked

what is the constant of proportionality and equation?​

Answers

the constant is X and the Proportionality is Y

Answer:

The constant of proportionality is 2 it is y=2x

Step-by-step explanation:

Each time the number goes up it goes up by two i hope this helps have a nice day

A car wash detailed 132 cars in 4 hours. How many cars did they detail per hour?

Answers

Answer:

33 Cars

Step-by-step explanation:

132 / 4 = 33

Therefore,

The answer is,

33 Cars

2. Solve in two ways
1/2 +1/4

Answers

Answer:

Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.

Answers

Answer:

[tex]5\leq x\leq 40[/tex]

Here, [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far

Step-by-step explanation:

Number of cookies made by Walter so far = 15

He is asked by his coach to make at least 20 cookies but no more than 55.

Let [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.

The inequality is [tex]20\leq x+15\leq 55[/tex]

Now solve this inequality.

[tex]20\leq x+15\leq 55\\20-15\leq x\leq 55-15\\5\leq x\leq 40[/tex]

Answer: a

Step-by-step explanation: because its right

What is 2+2-2X2 divided by 2??

Answers

Answer:

0

Step-by-step explanation:

cause 2+2 is 4 and 2x2 is four and since u put - it take it away a then divide 0 by 2 u get 0

Find the value of the expression:
70–a2 for a=–25; 1; 10

Answers

Simple answer.

You will have to replace a, with the given numbers.

For the 1st one)

70-25² since a=25. 70-625=-55

2nd)

70-1²=70-1=69

3d)

70-10²=70-100=-30

Hope this helped.

How do I write Domain and Range in inequality notation?

Answers

Answer:

Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is

Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly

Answers

Answer:

Piecewise functions are functions that behave differently in different regions of the domain.

One example that you may see in your city is the case of the street illumination, such that can be modeled as:

x = time

Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:

f(x) = 0 if x1 < x < x0

f(x) = 1 if x0 ≤ x ≤ x1

Where f(x) represents the intensity of the light at the time x.

Between x1 and x0, the lights are not working, so the illumination that they provide is zero.

Between x0 and x1 the lights are turned on, so the illumination is 1.

Another example can be the accurate description of the velocity of a car as a function of time.

For some pieces, the car will be stopped (maybe in a red light)

For some pieces, the car will be moving slow (maybe there is a lot of traffic)

For some pieces, the car will be moving fast or accelerating (in an empty street).

So we can define this motion as a piecewise function that obviously will depend on how the car moves.

in the diagram below m abc equals 165°
find the measure of ABD​

Answers

The measure of ABD is 25 degrees.

Which of the following are like terms

Answers

Answer:

i would say a but i could be wrong

Step-by-step explanation:

your answer would be 3x and 6x

Which Polygons are similar to A? PLEASE ANSWER QUICKLY

Answers

Answer:

B and C are similar to A but E is same as A.

The terminal side of angle θ intersects the unit circle in the first quadrant at (925,y). What are the exact values of sinθ and cosθ?

Answers

Correct question is;

The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?

Answer:

sinθ = (√544)/25) and cosθ = 9/25

Step-by-step explanation:

We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;

(9/25)² + y² = 1²

y² = 1 - (9/25)²

y² = (625 - 81)/25²

y² = 544/25²

y = ±(√544)/25

We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.

Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]

In unit circle geometry, cosθ = x, while sinθ = y.

Thus; sinθ = (√544)/25) and cosθ = 9/25

The exact value of [tex]sin\theta[/tex] and [tex]cos\theta[/tex] is  [tex]cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex] and this can be determined by forming the equation of circle.

Given :

The terminal side of angle [tex]\theta[/tex] intersect at unit circle ([tex]\frac{9}{25}, y[/tex]).

From general representation of equation of circle , we can write

[tex]x^{2} + y^{2} = a^{2}\\[/tex]

[tex](\frac{9^{2} }{25^{2} })[/tex] + [tex]y^{2} = 1^{2}[/tex]

[tex]y^{2} = 1 - \frac{81}{625}[/tex]

[tex]y^{2} = \frac{625-81}{625}[/tex]

[tex]y^{2}=\frac{544}{625}[/tex]

Taking square root both sides

[tex]y= \frac{\sqrt{544} }{\sqrt{625} }[/tex]

[tex]y = \frac{\sqrt{544} }{25}[/tex]

We are taking only because point  lies in first quadrant.

The terminal side of angel [tex]\theta[/tex] unit circle in first quadrant at [tex](\frac{9}{25} , \frac{\sqrt{544} }{25})[/tex]

In unit circle

[tex]x = cos\theta , y = sin\theta[/tex]

[tex]\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex].

For more information click on the link gives below

https://brainly.com/question/23841023

RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?

A. 26°
B. 232°
C. 64°
D. 58°

Answers

Answer:

D. 58

Step-by-step explanation:

pretty easy clap

bisecting is midpoint which makes the two angles congruent

SOMEONE PLEASE HELP QUICK

Answers

X can be any number in the graph as long as it is on the x-axis therefore you can put x as -1,0 and 1. Then you would need to replace the ‘x’ in the equation so it would look like y=-2*1+3. You replace ‘x’ with every number you put in the x boxes. Then just solve the equations

y=-2*1+3
Y=-2*0+3
Y=-2*-1+3
They would give you the y axis coordinates so then you just put them together for the middle column.

Answer

y=-2*1+3=1
Y=-2*0+3=3
Y=-2*-1+3=5

Coordinates are (1,3) (0,3) (-1,5)

Please help will MARK BRANLIEST!!
As part of a landscaping​ project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of​ low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these​ plants, how wide a strip around the flower bed should be prepared for the​ border?

Answers

Answer:

took me time to try and answer your question hope it proves helpful

Ronald has a 10% solution of the fertilizer Super Grow. How much pure Super Grow should he add to the mixture to get 36 oz of a 12.5% concentration?

Answers

Answer:

1 oz

Step-by-step explanation:

Given that:

% solution of super grow fertilizer = 10%

To obtain mixture of 36oz of a 12.5% concentration

Let oz of pure supergrowth to be added = s

(Initial % * (36 - s) + s) / 36 = target concentration

(10% * (36 - s) + s) / 36 = 12.5%

(0.1(36 - s) + s) / 36 = 0.125

Cross multiply:

0.1(36 - s) + s =. 0.125 * 36

3.6 - 0.1s + s = 4.5

3.6 + 0.9s = 4.5

0.9s = 4.5 - 3.6

0.9s = 0.9

s =. 0.9/0.9

s = 1

Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.

Which expression is equivalent to Y.Y.Y.Z.Z.Z.Z?
O y 24
O 12xy
o (yz)
07xy
HURRYPLEASEEEE

Answers

A y exponent 3 z exponent 4.

A local little league has a total of 60 players, of whom 20% are left-handed. How many left-handed players are there?

Answers

Answer:

There are 12 left-handed players in the league

Step-by-step explanation:

To find the value of the percentage of a given number, change the percentage at first to decimal by divide it by 100, then multiply the decimal by the number.Ex: 5% of 50 ⇒ 5% = [tex]\frac{5}{100}[/tex] = 0.05 ⇒ 5% × 50 = 0.05 × 50 = 2.5

Let us solve the problem

∵ A local little league has a total of 60 players

∵ 20% of them are left-handed

Find 20% of 60

∴ The number of left-handed players = 20% × 60

→ Change 20% to a decimal

∵ 20% = [tex]\frac{20}{100}[/tex] = 0.20

∴ The number of left-handed players = 0.20 × 60

∴ The number of left-handed players = 12

There are 12 left-handed players in the league

Find the measure of the missing angle

Answers

Y=85 X=95 its just 180-95 and then the other side is flipped for parallel lines

Anyone help? Please I’ve tried -35 but the graph is just to ten

Answers

Answer:

f(x) is always 5.

Step-by-step explanation:

The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.

Help please for brainliest

Answers

48 I just took the test :) you’re welcome

6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.

Answers

What do u mean by this question?

Question 8
A log with diameter 60 cm is 3 m in length its hollow centre is 20 cm in diameter.

Find the surface area of the log in cm', including the ends and the inside, correct to one decimal place.

Answers

Answer:

The surface area of the log including the ends and the inside is 80424.8 cm²

Step-by-step explanation:

To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.

From the question,

Diameter of log = 60 cm

Length of log = 3 m = 300 cm

Diameter of hollow center = 20 cm

For the surface area of the outer part,

Area of the outer part = Circumference of the outer part × length

Circumference = 2πr = πd

∴ Area of the outer part = πd × l

(NOTE: d here is the diameter of the log)

d = 60 cm and l = 300 cm

Area of the outer part = 60π × 300 = 18000π cm²

For the surface area of the inner part,

Area of the inner part = Circumference of the inner part × length = πd × l

(NOTE: d here is the diameter of the hollow center)

d = 20 cm and l = 300 cm

Area of the inner part = 20π × 300 = 6000π cm²

For the surface area of one end

This is the difference between the area of the outer end and the area of the inner end

Here, we can determine the area by using

Area = πr², where r is the radius

Radius = Diameter / 2

Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm

Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm

∴ Surface area of one end = πR² - πr² = π(R²-r²)

= π (30²-10²)

= π (900 - 100)

= 800π cm²

This is the area of one end

For the two ends,

Area of the two ends = 2 × 800π cm² = 1600π cm²

Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²

Surface area of the log = 25600π cm²

Putting the value of π (π = 3.141592654)

Surface area of the log = 25600 × 3.141592654 cm²

Surface area of the log = 80424.77193 cm²

Surface area of the log = 80424.8 cm²

Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)

Find the value of x.

(A) 16 (B) 41 (C) 5 (D) 25 (E) 66

Answers

Answer:

D. 25

Step-by-step explanation:

D. 25 is the correct answer....Hopes it helps you....Hopes to get BRAINLIEST.. .

Thank you ☺️☺️☺️

In my opinion answer is 25 or D

POSSIBLE POINTS: 3.33

Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5

apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants to buy 16 pies for her

sisters and must buy as many chocolate pies as apple pies and banana pies combined.

How many of each item should she buy? Write a system of equations to help you solve

this problem.

# of applie pies =

# of banana pies =

# of chocolate piles =

1

2 3

Answers

Answer:

From the information given, you can write the following system of equations:

x+y+z=16 (1)

5x+4.5y+5.5z=82 (2)

z=x+y (3)

You can replace (3) in (1) and (2):

x+y+x+y=16

2x+2y=16 (4)

5x+4.5y+5.5(x+y)=82

5x+4.5y+5.5x+5.5y=82

10.5x+10y=82 (5)

Now, you have the following equations:

2x+2y=16 (4)

10.5x+10y=82 (5)

You can isolate x in (4):

2x=16-2y

x=8-y (6)

Then, you have to replace (6) in (5):

10.5(8-y)+10y=82

84-10.5y+10y=82

84-82=10.5y-10y

2=0.5y

y=2/0.5

y=4

Now, you can replace the value of y in (6) to find x:

x=8-4

x=4

Finally, you can replace the vaue of x and y in (3) to find z:

z=4+4

z=8

According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.

Please help me out! Help me please! This is so important!

The ratio of girls to boys in a primary school is 4:5. If there are 24 girls, how many boys are there? Help!

Answers

Answer:

there are 30 boys

Step-by-step explanation:

If there is 24 girls you divide that by 4 and you get six so that means you multiply with six and you get 30.

A ratio of 4:5 means that for every 4 girls, there are 5 boys.

24 girls / 4 girls = 6

5 * 6 = 30 boys

There are 30 boys if there are 24 girls

Charlene and Gary want to make confetti. In order to get the right balance of ingredients for their tastes they bought 3 pounds of paper hearts at $2.46 per pound, 5 pounds of sparkling stars for $3.05 per pound, and 3 pounds of shiny coils for $2.33 per pound. Determine the cost per pound of the coffeti.

Answers

Answer:

0.712 cents per pound

Step-by-step explanation:

Since we are given the exact amount of each ingredient as well as the price for that amount then we simply need to calculate how much each pound of the confetti actually costs. We do this by adding together all of the pound of all of the ingredients and then adding together all of the costs. Lastly, we divide the cost by the total amount of pounds to find the cost per pound of the confetti like so...

3lbs. + 5lbs. + 3lbs. = 11 lbs.

$2.46 + $3.05 + $2.33 = $7.84

$7.84 / 11 lbs. = 0.712 cents per pound

Therefore, the cost per pound of the confetti is 0.712 cents per pound

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