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
Debora [2.8K]
3 years ago
6

In a survey in 2010, the population of two plant species were found to be growing exponentially. Their growth is given by these

equations: species A, and species B, , where t = 0 in the year 2010. 4. After how many years will the population of species A be equal to the population of species B in the forest?
Mathematics
1 answer:
Lunna [17]3 years ago
6 0

If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:

2000e^(0.05t) = 5000e^(0.02t)

(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)

2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))

2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))

ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )

t = ln(2/5) / -0.03 (Divide each side by -0.03)

= 30.54 (to two decimal places)

Therefor, the population of species A will be equal to the population of species B after 30.54 years.

I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.

You might be interested in
Brandon buys a radio for $45.09 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary round to the n
dusya [7]

Answer:

Step-by-step explanation:

tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16

Total cost = $45.09 + $3.16 = $48.25

5 0
2 years ago
PLESE HELP YOU WILL GET ALOT OF POINTS
Vedmedyk [2.9K]

Answer:

It's a <em>(space) </em>lot<em>,... </em>haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...

Step-by-step explanation:

By x the just mean <em>what number,... </em>so,...

<em>what number </em>+ 6 = 7,

6 + <em>what number = 7,</em>

2 + <em>what number </em>+ 5 = 7,

1 + <em>what number</em> = 7,

<em>what number </em>+ 4 + <em>what number </em> = 7,

So that is what it mean,... hope it helps, <em>alot</em> LOL,... and,... Chow

<em />

4 0
2 years ago
I need help ASAP PLEASEE
Alex787 [66]

Answer:

9. 21

10. 70

11. 64

12. 31

13. 85

14. 31

double check the answer, i didnt use a calculator so might be wrong

4 0
3 years ago
Customers arrive at an ice cream store at the rate of 15 per hour. The owner attempts to serve in a first-come, first-serve prio
sweet-ann [11.9K]
The answer is 1/5 or 20% or .20
7 0
2 years ago
How do you convert 24411.41178 to money form?​
cricket20 [7]
In money form there can’t be more than two decimal places so it’s $24,411.41
3 0
3 years ago
Other questions:
  • A set of data is represented on the scatter plot below. Which equation best models set of data?
    13·1 answer
  • The ratio of the base edges of two similar pyramids is 3:4. The volume of the larger pyramid is 320 in3. What is the volume of t
    8·2 answers
  • Is 0.03 greater than 0.003
    6·2 answers
  • Choose two numbers from the box to complete the sentence.
    10·1 answer
  • What is the distance between the points (−6,8 ) and (3,−4)
    9·1 answer
  • Solve the system of equation using substitution ×=5y-37 ×+2y=26
    14·1 answer
  • Solve this plsss..........​
    10·1 answer
  • I have eyebrows in my eyes help me
    8·2 answers
  • Gina Wilson All Things Algebra 2015, Unit 11
    15·2 answers
  • This one too I always get confused
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!