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
Strike441 [17]
3 years ago
15

Use the exponential growth model, A = A0 e^kt to show that the time is takes a population to double (to frow from A0 to 2 A0) is

given by t = ln 2/k.
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer:

<em>Proof below</em>

Step-by-step explanation:

<u>Exponential Grow Model</u>

The equation to model some time dependant event as an exponential is

A=A_oe^{kt}

Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time

We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation

2A_o=A_oe^{kt}

Simplifying by Ao

2=e^{kt}

Taking logarithms in both sides

ln2=lne^{kt}

By properties of logarithms and since lne=1

ln2=kt\cdot lne=kt

Solving for t

\displaystyle t=\frac{ln2}{k}

Hence proven

You might be interested in
Find the area of a sundown that measures 3 yards by 3/4 yard.
juin [17]
To find this you multiply the 2 numbers together. 3*3/4=2.25.

2.25 in fraction form is 2 \frac{1}{4}
3 0
3 years ago
This is harder so i put more points
Inessa [10]

Answer:

Sheet metal costs <u>$20</u> per square foot.

Step-by-step explanation:

7.6x - 2.3x = 106

We are finding the value of x.

5.3x = 106

Divide both sides by 5.3.

x = 106 ÷ 5.3

x = 20

3 0
2 years ago
Read 2 more answers
Which of the following graphs is the inverse of f(x) = x2 + 4?
Eddi Din [679]

Answer:

Step-by-step explanation:

5 0
3 years ago
Write an equation in point slope form for the line with a slope of 3 passes through (1,2)
alexgriva [62]

Answer:

y-2=3(x-1)

Step-by-step explanation:

The point-slope form of a line is given as:

y-y_1=m(x-x_1)

Where

m is the slope

x_1 is the x-coordinate of the point given (passing through the line)

y_1 is the y-coordinate of the point given (passing through the line)

Now,

Given,

Slope = m = 3

x_1 = 1

y_1 = 2

Now, we simply plug these into the formula for point-slope form of a line:

y-y_1=m(x-x_1)\\y-2=3(x-1)

This is the point-slope form.

4 0
3 years ago
It’s math can you guys help me out 10 points:)
qaws [65]

Answer:

90 liters

Step-by-step explanation:

please mark me as brainlest

8 0
2 years ago
Read 2 more answers
Other questions:
  • Can anyone help me with this problem
    9·1 answer
  • Being timed please help
    6·1 answer
  • 6) The local bakery made a profit of $210 for each day
    5·1 answer
  • Can someone help me with this problem
    10·1 answer
  • The radius of a circle is 6.1 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
    13·1 answer
  • What would the exponential growth model be for the given situation?
    9·1 answer
  • Kim made 4 cups of chili . She ate 1 3/4 of it for lunch how many cups of chili did Kim have over?
    12·2 answers
  • ............................HELP PLSS
    8·2 answers
  • What is X? combined with 10x^2
    13·1 answer
  • Simplify the following 35÷32<br> plz help me out!!​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!