answer.
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
Salsk061
1 day ago
6

a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati

on
Mathematics
1 answer:
Svet_ta [9.5K]1 day ago
7 0

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

The population of the barangay can be modeled using the exponential function;

P(t) = P0e^kt

P(t) reflects the population after t years

P0 denotes the initial population

t indicates the time

With an initial population of 1000, we set P0 = 1000

Given that the population doubles every 60 years, at t = 60, it holds that P(t) = 2P0

Inserting that into the equation yields

2P0 = P0e^k(60)

2 = e^60k

Taking the natural logarithm of both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Inserting the determined k value and P0 into the function gives

P(t) = 1000e^(0.01155)t

Thus, the exponential model for the population of the barangay is

P(t) = 1000e^(0.01155)t

You might be interested in
The graph below shows the solution to which system of inequalities?
Zina [9171]
The solution is C. Let’s start by identifying the equations without inequalities. Since there's a dotted line at y = 1, options A and B can be disregarded. Dotted lines indicate exclusivity, so they do not encompass the = sign. Therefore, the answer must be C.
7 0
7 days ago
Why might the triangulation method not always produce an exact point (other than any measurement errors)
Zina [9171]

Answer:

The triangulation technique may not always yield a precise result (aside from any errors in measurement) for the following reasons:

It employs a variety of data sources, different researchers, and multiple theories or viewpoints.

Step-by-step explanation:

Research triangulation integrates various methods, data sources, diverse investigators, and assorted theories to develop a deeper insight into the situations being studied. This process fortifies qualitative research by incorporating data from multiple sources, perspectives, and methodologies.

3 0
17 days ago
A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i
tester [8842]

a(t) = 210 - 5t

(1) What does t represent?

Since t is given in minutes, it stands for time.

Interpreting t as the balloon’s altitude is incorrect since a(t) represents altitude.

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

Time elapsed since the balloon starts descending

This is the correct interpretation.

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

Time for the balloon to reach ground level is incorrect because that would be a fixed moment, not a variable t.

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

(2) What does a(t) represent?

The balloon’s altitude

This is the correct answer.

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

Time since descent began is incorrect because that is represented by t.

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

Time to reach the ground is inaccurate since a(t) is altitude, not time.

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

(3) What does a(5.5) signify?

It does not represent the time to reach 5.5 feet altitude.

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

The altitude of the balloon after 5.5 minutes

This is the correct interpretation since a(5.5) is altitude when t = 5.5 minutes.

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

It is not the time needed to reach the ground.

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

5.5 minutes alone is not correct because a(t) denotes altitude, not time.

a(5.5) refers to altitude at t = 5.5 minutes.

7 0
1 month ago
Read 2 more answers
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Inessa [9000]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

2x,2y,2z

Objętość = 8xyz

Maksymalizuj objętość przy założeniu

x^2+y^2+z^2 =1

tj. g(x,y,z) = x^2+y^2+z^2 -1=0

Użyj mnożników Lagrange'a, mamy

∇f(x,y,z)=λ∇g(x,y,z)przy maksimum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dzieląc otrzymujemy

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Podobnie y^2=z^2

Zatem otrzymujemy 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Stąd wymiary to

(2x,2y,2z)

<pzatem wymiary="" to="">

\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )

</pzatem>
3 0
24 days ago
The gravitational force between Pluto and Charon is 3.61 × 1018 N. Pluto has a mass of 1.3 × 1022 kg, which is only slightly gre
lawyer [9240]
The formula for gravitational force is F = G * m1 * m2 / r². The gravitational constant is G = 6.67 * 10^(-11) m³/kgs². Thus, we find r = sqrt(G * m1 * m2 / F) = sqrt(6.67 * 10^(-11) m³/kgs² * 1.3 * 10^(22) kg * 1.6 * 10^(21) / 3.61 * 10^(18) N) = sqrt(3.84 * 10^(14)) = 1.96 * 10^(7) m, which is approximately 2 * 10^(7) m.
8 0
4 days ago
Other questions:
  • Which equation represents the graphed function?
    6·2 answers
  • What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth
    6·1 answer
  • S=2(lw+lh+wh) solve for w
    7·2 answers
  • The table shows ordered pairs of the function y = 8 - 2x. When x = 8, the value of y is
    12·2 answers
  • Which of the following values are in the range of the function graphed below? Check all that apply.
    13·2 answers
  • A bag contains 3 red blocks, 2 green blocks, and 1 blue block. Shelby will randomly select blocks, without replacement. What is
    10·1 answer
  • You buy a 1:1000 scale model of the Statue of Liberty during a trip to New York City. The height of the model is 9.3 centimeters
    14·1 answer
  • The ratio of the number of tomato plants in Inessa’s garden to the number of tomato plants in Ralph’s garden was 5:6. After 1/2
    11·2 answers
  • Think about the commutative property of real number operations as it applies to addition and subtraction of functions how do you
    15·2 answers
  • How many models of 100 do you need to model 3,200 explain
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!