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).
150 + 30 = 180, right? We need to find 180 on the other side.
180 - 2 = 178
178 / 4 = 44.5
The answer is most likely 44.5. Let me know if I am wrong,
Answer:
23
Step-by-step explanation:
100/5=20
20+3=23
Answer:
Step-by-step explanation:
1. set the equation for the area of each shape equal to each other
2. simplify each side until you get
3. subtract 16 from both sides which will give you
4. subtract 3x from both sides which will give you the value of x.
5. check that is correct by plugging it into the equations
triangle:
rectangle:
the areas are the same