The population of a city can be modelled by the function P(x) = -22.5x2 +428x + 1100, where x is the number of years since
1990. According to the model, when will the population be the highest?

1991
1999
2002
2005

1

Population model

P=375.55e^(-0.01052t)

we are required to find t when p=300000.  

substituting the values in formula and solving for t we get:

300000=375.55e^(-0.01052t)

this will give us

798.828385=e^(-0.01052t)

getting the natural log of both sides will be:

6.683146136=0.01052t

t=635.28~635

Given that t=0 in 1990, the population would be 300000 in the years 2625

Step-by-step explanation:

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24