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:
Approximately 3.4 years more or less
Step-by-step explanation:
If we represent this exponential growth as P=185(1.16)^n where n is the number of years passed and P is the population, then:
P=185(1.16)^n
305=185(1.16)^n
1.65=1.16^n
log₁.₁₆(1.65)=log₁.₁₆(1.16^n)
3.37=n
So the deer population will reach 305 in approximately 3.4 years.
<em><u>THE </u></em><em><u>ANSWER </u></em><em><u>IS </u></em><em><u> </u></em><em><u>></u></em><em><u> </u></em><em><u>C </u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>7</u></em><em><u>×</u></em><em><u>+</u></em><em><u>1</u></em><em><u>4</u></em><em><u>)</u></em><em><u> </u></em>
<em><u>HOPE </u></em><em><u>IT </u></em><em><u>HELPS </u></em>
<h2>
<em><u>#</u></em><em><u> </u></em><em><u>CARRY </u></em><em><u>ON </u></em><em><u>LEARNING</u></em></h2>
Answer: C
Step-by-step explanation:
The answer would be C because you have to look at the two closest perfect squares that the number is in between. 47 is in between six squared (36) and seven squared (49). That is why the answer would be somewhere between six and seven.
Answer:
2x+y=−7
Step-by-step explanation: