Answer:
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):





For this case, we must find the inverse of the following function:

To find the inverse we follow the steps below:

We rewrite the denominator:

We exchange variables:

We solve for y:
We multiply on both sides of the equation by (y-7)

We subtract xy on both sides of the equation:

We add 1 to both sides:

We factor for y:

We divide both sides by (-5-x):

So, we have:

Answer:


Answer is 5/9
Step by step
Quotient is answer to division
We have 2/3 divided by 6/5
To divide fractions, we flip one of the fraction and multiply
So now we have 2/3 x 5/6. Multiply across and you get 10/18, simplify to 5/9.
Answer:
Step-by-step explanation:
The equation is:
√b+20 - √b = 5
The first step is we will add √b to both sides:
√b+20 -√b +√b = 5 +√b
√b+20 = 5+√b
Now take square at both sides:
(√b+20)^2 = (5+√b)^2
b+20 = 25+10√b+b
Now combine the like terms:
b+20-25-b=10√b
-5 = 10√b
Divide both the terms by 10
-5/10 = 10√b/10
-1/2=√b
Take square at both sides:
(-1/2)^2 = (√b)^2
1/4 = b
So in this type of question we add radical terms to both sides and square both sides twice....
Answer:
Change in elevation per minute = 2ft/min
Step-by-step explanation:
Change in elevation per minute = elevation ÷ time
Change in elevation per minute = 8÷4 = 2ft/min