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
Lilit [14]
2 years ago
9

Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006

2006. If the population must stay below 2424 billion during the next 100​ years, what is the maximum acceptable annual rate of​ growth?
Mathematics
1 answer:
Whitepunk [10]2 years ago
8 0

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

You might be interested in
What is the surface area of the triangular prism?
Elanso [62]

Answer:

135 square feet

Step-by-step explanation:

area of base and top=2(1/2×6×2.5)=15 square feet.

area of three faces=(2.5+6+6.5)×8=15×8=120 ft

total surface area=15+120=135 square feet.

4 0
2 years ago
Read 2 more answers
Write 2.4 x 10 to the power of -3 in standard form
fomenos

Answer:

Step-by-step explanation:

2.4 \times10^{-3}=\frac{24}{10} \times \frac{1}{10^3} =\frac{24}{10^4} =\frac{24}{10000} =0.0024

6 0
3 years ago
What is a word problem to represent the equation 3/4x=12
Svetach [21]

Answer:

Step-by-step explanation:

John had some number of apples. Niyati his girlfriend wanted 12 of johns apples. John gave niyati 3/4s of his apples what was his starting amount?

3 0
3 years ago
2y+5x=4<br> please answer
marshall27 [118]

Answer:x=x=

−2

5

y+

4

5

Step-by-step explanation:

Let's solve for x.

2y+5x=4

Step 1: Add -2y to both sides.

5x+2y+−2y=4+−2y

5x=−2y+4

Step 2: Divide both sides by 5.

5x

5

=

−2y+4

5

x=

−2

5

y+

4

5

Answer:

x=

−2

5

y+

4

5

Close Ad

5 0
2 years ago
jorge scored 4 out of 5 on a test. jane scored 8 out of 10 on a test. did Jorge and jane get equivalent scores​
Assoli18 [71]
Yes! 4/5 is .8 and so is 8/10.
5 0
2 years ago
Other questions:
  • How do I multiple that radical
    5·1 answer
  • 3/4 ÷ 1/2 what is the answer to this
    13·1 answer
  • the seats at a local baseball stadium are arranged so that each row has 5 more seats than the row below it. if there are 4 seats
    5·1 answer
  • Explain why every other number is an even number.
    5·1 answer
  • There are 8 red sticks in a pack and 12 blue sticks in a pack. Write a expression for the total of sticks in one pack of red sti
    10·2 answers
  • Determine which numbers are solutions for x&gt;7 from the solution set<br> of { 7,8,9}
    12·1 answer
  • A baker made 35 pastries in 5 hours.<br> How many pastries did the baker<br> make in one hour?
    5·1 answer
  • Paige earned $15.50 per hour. She received an 18% raise. If Paige worked 10 hours at her new salary. How much did Paige earn?
    11·1 answer
  • Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate
    11·1 answer
  • Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!