Acity currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. if the proportion of residents that remain after t years is given by s(t) = 1/(t + 1), what is the population of the city 7 years from now?

Population of the city after 7 years from now, P(7) = 6370

Given:

Initial Population,

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

Step-by-step explanation:

Let the initial population be  

The population after T years is given by the equation:

         (1)

Thus, the population after 7 years from now is given by using eqn (1):

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c