0.0166 because it’s bigger than all other numbers
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:
19 coins
Step-by-step explanation:
We know that mean is the sum of all the elements divided by the number of elements there are: m = t/n, where m is the mean, t is the total sum, and n is the number of elements.
Here, we are given the mean number of coins for all 27 + 18 = 45 children is 16, so m = 16 and n = 45. Then:
m = t/n
16 = t/45
t = 720
This t means that the total number of coins that all the boys and girls have is 720 coins.
Now, we also know the mean number of coins for the boys only, which is 14. Since there are 27 boys, then:
m = t/n
14 = t/27
t = 378
This t means the total number of coins all the boys have.
Subtracting 378 from 720, we get 342, which is the total number of coins the girls have. We also know there are 18 girls, so:
m = t/n
m = 342 / 18 = 19
Thus, the mean is 19 coins.
Answer:
look it up
Step-by-step explanation:
