Answer:
The year is 2020.
Step-by-step explanation:
Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.
Given:
Initial population is, 
Growth rate is, 
Final population is, 
A population growth is an exponential growth and is modeled by the following function:

Taking log on both sides, we get:

Plug in all the given values and solve for 'x'.

So, for
, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.
Therefore, the tenth year after 2010 is 2020.
the answer to the first part is 2x-3
9514 1404 393
Answer:
0
Step-by-step explanation:
The function is defined everywhere except at x=-6. The limit value is the function value at that point.
f(6) = (6^2 -36)/(6 +6) = 0/12 = 0
The limit of the function is 0 as x → 6.
Answer:
The original price was $312.50
Step-by-step explanation:
If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.
Let's set up an equation.
80/100 of x = 250
0.8 • x = 250
Divide both sides by 0.8.
x = 312.50
The original price was $312.50
Hope this helps!