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.
$56.25
8:25 - 4:25 = 4 hours
4 hours - 1 hour for lunch = 3 hours
$18.75 x 3 = $56.25
Answer:
26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. Prime factorization: 26 = 2 x 13.
Answer:
the bowling alley
Step-by-step explanation:
Answer:
We conclude that he have 84 possible complete trips to Tech.
Step-by-step explanation:
We know that he live 9 (rectangular) blocks from Tech. The trip is 3 blocks north and 6 blocks west. We calculate number of possible complete trips to Tech. We know that
We calculate
We conclude that he have 84 possible complete trips to Tech.
