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.
Answer: x= 5
Step-by-step explanation:
Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21
Then use distribution
3x+4x-14=21
Add 4x and 3x
7x-14=21
Then add 14 to both sides
7x=35
Divide by 7 to get x
35/7=5
x=5
Answer:
about .24 mile per hour
1 mile is 5280 foot
Step-by-step explanation:
Answer:
3°
Step-by-step explanation:
20x + 5 = 9x - 2 + 40
Exterior angle is equal to the sum of interior angles
20x + 5 = 9x + 38
11x = 33
x = 3
The answer is 16 hope this helps
