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
Contact [7]
3 years ago
14

How do you do the last two questions?

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

P = 6200 / (1 + 5.2e^(0.0013t))

increases the fastest

Step-by-step explanation:

dP/dt = 0.0013 P (1 − P/6200)

Separate the variables.

dP / [P (1 − P/6200)] = 0.0013 dt

Multiply the left side by 6200 / 6200.

6200 dP / [P (6200 − P)] = 0.0013 dt

Factor P from the denominator.

6200 dP / [P² (6200/P − 1)] = 0.0013 dt

(6200/P²) dP / (6200/P − 1) = 0.0013 dt

Integrate.

ln│6200/P − 1│= 0.0013t + C

Solve for P.

6200/P − 1 = Ce^(0.0013t)

6200/P = 1 + Ce^(0.0013t)

P = 6200 / (1 + Ce^(0.0013t))

At t = 0, P = 1000.

1000 = 6200 / (1 + C)

1 + C = 6.2

C = 5.2

P = 6200 / (1 + 5.2e^(0.0013t))

You need to change the exponent from negative to positive.

The inflection points are where the population increases the fastest.

You might be interested in
$500 principal earning 4% compounded quarterly, after 6 years?
sashaice [31]
Total = 500.00 * (1.04)^6
Total = <span> <span> <span> 632.6</span></span></span>6

4 0
3 years ago
Solve x^2-4/x+1 using long division
bulgar [2K]
The 6 at the end is the remainder

8 0
2 years ago
Brian is 6 feet tall and casts a 4 foot shadow. At the same time, a nearby flag pole casts a 20 foot shadow.
IRISSAK [1]

since brians shadow is 2/3rds his height

4 / 6 is 2 /3

20 / 30 is 2 / 3 too so flag pole must be 30 feet tall

4 0
2 years ago
A school gym has an area of 2400 square feet. For a pep rally there are 700 people in the gym. How many square feet are availabl
Fantom [35]
All we need to do is 2400/700 = 3.43 (rounded) square ft. per person
8 0
3 years ago
Read 2 more answers
PLSSSS HELP ME!! Which of the following graphs represents a function?
ella [17]

Answer:

A.

Step-by-step explanation:

A.

In graph A no two points have the same x-coordinate. That makes it a function.

4 0
3 years ago
Other questions:
  • You need at least 10,000 points to advance to the next level of a video game. Your current score is 3200 points. Write and solve
    9·1 answer
  • Which set of ordered pairs represents a function? {(0,1), (1,3), (1,5) (2,8)}, {(0,0), (1,2), (2,6), (2,8)}, {(0,0), (0,2), (2,0
    12·1 answer
  • A lot cost $120,000 the house cost 3 times more than a lot how much did the house cost
    14·1 answer
  • How do I find A and B?
    9·1 answer
  • ??????????????????????????????????????????????????
    5·2 answers
  • A pentagon with exterior angles is shown. The angles are 57 degrees, 108 degrees, 51 degrees, 60 degrees, and (x + 12) degrees.
    11·1 answer
  • 10 points ??????????????
    5·1 answer
  • Write each equation in standard form using integers.
    12·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    9·1 answer
  • Divide g(x) = x^4 - 2x^3 + X + 3 by x+3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!