Answer:
P(t) = 2093e^(42t).
Step-by-step explanation:
The population of this town can be modeled by the following differential equation
dP/dt = Pr
where r is the growth rate in people a year.
We can solve this differential equation by the separation of variables method.
dP/P = rdt
Integrating both sides, we have:
ln P = rt + P0
where P0 is the initial population
To isolate P, we do this:
e^(ln P) = e^(rt + P0)
P(t) = P0e^(rt).
We have that the population increases by 42 people a year, so r = 42. We also have that the population at time t = 0 is 2093 people, so P0 = 2093.
So the formula for the population, P, of the town as a function of year t is P(t) = 2093e^(42t).
Answer:
B and C
Step-by-step explanation:
For A
For B
For C
For D
Here, B and C have not same value
Answer:
(-2,4) and (2,0)
Step-by-step explanation:
The graphical solution to the system of equations is simply the point(s) where the graphs of the function intersect or cross each other.
The graphs of the function can be found in the attachment below;
From the graph, the functions intersect at ;
(-2,4) and (2,0)
Answer:
5×14×14×4=3,920 cm
Step-by-step explanation:
Multiply all numbers to find the area.
