1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaVladis [17]
2 years ago
13

A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat

e the population, p. as a function of time in days.t, since the population was 1,500.
Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

<u>First, we need to calculate the daily growth rate:</u>

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

<u>Now, by using the following formula, we can determine the population p in any given day t:</u>

FV(p)= PV*(1 + g)^t

<u>For, example after 7 days:</u>

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

<u>For example, after 10 days:</u>

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

You might be interested in
For the function f defined by f(x) = 3x^2 + 3x + 4, find the following values.
Vsevolod [243]

\large \mathfrak{Solution : }

let's solve for f(-9) :

  • 3(-9)² + (3 × -9) + 4

  • (3 × 81) - 27 + 4

  • 243 - 23

  • 220
6 0
2 years ago
Read 2 more answers
25 POINTS WILL MARK RIGHT ANSWER AS BRAINLIEST! What is the value of x to the nearest tenth?
andreyandreev [35.5K]

Answer:

The value of x is 2.5 to the nearest tenth

Step-by-step explanation:

* Lets revise the trigonometry functions

- In any right angle triangle:

# The side opposite to the right angle is called the hypotenuse

# The other two sides are called the legs of the right angle

* If the name of the triangle is ABC, where B is the right angle

∴ The hypotenuse is AC

∴ AB and BC are the legs of the right angle

- ∠A and ∠C are two acute angles

- For angle A

# sin(A) = opposite/hypotenuse

∵ The opposite to ∠A is BC

∵ The hypotenuse is AC

∴ sin(A) = BC/AC

# cos(A) = adjacent/hypotenuse

∵ The adjacent to ∠A is AB

∵ The hypotenuse is AC

∴ cos(A) = AB/AC  

# tan(A) = opposite/adjacent

∵ The opposite to ∠A is BC

∵ The adjacent to ∠A is AB

∴ tan(A) = BC/AB

* Now lets solve the problem

∵ x is opposite to the angle of measure 23°

∵ 6 is adjacent to the angle of measure 23°

∴ tan(23°) = x/6 ⇒ × 6 to both sides

∴ x = 6 × tan(23°) = 2.5

* The value of x is 2.5 to the nearest tenth

7 0
3 years ago
Read 2 more answers
One way to measure self-discipline is the $1-now or $2-later test (which the researchers call the Delay Choice Task) in which we
denis23 [38]

Answer:

A. This study is an experiment, since it was based on a random sample.

Step-by-step explanation:

Simple random sampling is a probabilistic sampling procedure that gives each element of the target population and each possible sample of a given size the same probability of being selected.

8 0
3 years ago
Suppose a company produces report indicates that the surveyed distance between two points is 1200 feet with a margin of error of
Otrada [13]
<h2>Hello!</h2>

The answers are:

MaximumDistance=1200.1ft\\MinimumDistance=1199.9ft

<h2>Why?</h2>

Since we are given the margin of error and it's equal to ±0.1 feet, and we know the surveyed distance, we can calculate the maximum and minimum distance. We must remember that margin of errors usually involves and maximum and minimum margin of a measure, and it means that the real measure will not be greater or less than the values located at the margins.

We know that the surveyed distance is 1200 feet with a margin of error of ±0.1 feet, so, we can calculate the maximum and minimum distances that the reader could assume in the following way:

MaximumDistance=ActualDistance+0.1feet\\\\MaximumDistance=1200feet+0.1feet=1200.1feet

MinimumDistance=ActualDistance-0.1feet\\\\MaximumDistance=1200feet-0.1feet=1199.9feet

Have a nice day!

4 0
2 years ago
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
Other questions:
  • 47. A percent is a comparison of a number to 100 using what operation?
    5·1 answer
  • Find k if the slope of <br> 4y= -kx - 2 is 4.
    9·1 answer
  • Which is the correct first step in solving the inequality -4(2x-1)&gt;5-3x algebraically?
    14·1 answer
  • A manufacturer produces mugs at a cost of $2 daily. The company also has daily costs of $500. It then sells the mugs for $5. Wha
    7·1 answer
  • What is the product of (3a 2)(4a2 – 2a 9)?12a3 − 2a 1812a3 6a 912a3 − 6a2 23a 1812a3 2a2 23a 18
    11·2 answers
  • Unlabeled polygon what is the scale factor of a
    5·1 answer
  • K/2 + 1/2 = 3<br><br> solve for k
    5·1 answer
  • 1 2/3-3/4=<br> plz answer <br> BRAINLIEST
    14·2 answers
  • A bag contains 7 red, 3 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marb
    7·1 answer
  • Drag the numbers below to put them in order from least to greatest:<br> 1 -6 -5 -12 9 -15
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!