Answer:
Step-by-step explanation:
The population P of a certain city can be modeled by
P=19000e0.0215t
where T represent the number of years since 2000.
When t=1 the year is 2001
when t =2 the year is 2002. This means that
When t=0 the year is 2000
To determine the year when the population will be 40,000 , we will substitute P = 40,000 and solve for t. It becomes
40000 = 19000e^0.0215t
40000 / 19000 = e^0.0215t
2.105 = e^0.0215t
Take ln of both sides
0.7443 = 0.0215t
t = 0.7443/0.0215
t = 34.62
Approximately 35 years
So the year will be 2035
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
For this case we have that the vertex of the parabola is the point:
(x, y) = (1, 4)
Equivalently:
x = 1
y = 4
answer:
the vertex of the graph shown below is
(x, y) = (1, 4)
Length of the model on the bottom = (5 x 18) / 3 = 30 cm
