Answer:
The graph of a nonmember’s yearly cost will be steeper, but start lower than the graph of a member’s yearly cost.
Step-by-step explanation:
sample response edge 1020
Answer:
a = c + 16
Step-by-step explanation:
a = b + 12
b = c + 4
Solve for b in the first equation.
a = b + 12
a - 12 = b
Put b as a - 12 in the second equation and solve for a.
a - 12 = c + 4
a = c + 4 + 12
a = c + 16
Answer:
The correct answer is A.
Step-by-step explanation:
The area of a rectangle can be calculated using the following formula:

If we know that the area measures
and one side of the figure measures 4.2 m, we can say that:

We isolate the side we don't know:

So I = 9 m
To know the perimter of a rectangle, we use the following formula:



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=0.125
Step-by-step explanation:
4/32=0.125