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).
4.63 x 3 = 13.89 (3 hotdogs and 6 bags of chips)
18.39 - 13.89 = 4.5 (2 hotdogs)
4.5 divide by 2 = $2.25
Answer:
-3n
a10= -30
Step-by-step explanation:
the distance between -3 and -6 is 3.
if you multiply 3 by the 1st term, it's just 3, so the 3 needs to be a -3.
For a10, you plug in 10 into the equation which is -3n. and that is -30.
It is a line that divides the space into two.. The line is y=-x-3
