Population growth the resident populations p (in millions) of the united states from 1995 through 2010 can be modeled by the exponential function
p(t) = 254.75(1.01)t
where t is the time in years, with t = 5 corresponding to 1995.use the model to estimate the populations in the years(a) 2013 and (b) 2020.

The estimated populations in the years 2013 and 2020 are 320.262 and 343.365 respectively.

Step-by-step explanation:

The resident populations P (in millions) of the united states from 1995 through 2010 can be modeled by the exponential function

Where t is the time in years,with t = 5 corresponding to 1995.

It means the initial year is 1990, ( 1995 - 5 = 1990).

Using this model we need to estimate the populations in the years 2013 and 2020.

2013 - 1990 = 23

Substitute t=23 in the given function.

2020 - 1990 = 30

Substitute t=30 in the given function.

Therefore, the estimated populations in the years 2013 and 2020 are 320.262 and 343.365 respectively.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3