Answer:
R = 30
Step-by-step explanation:
Given y is directly proportional to R² then the equation relating them is
y = kR² ← k is the constant of proportion
To find k use the condition when R = 4, y = 24, then
24 = k × 4² = 16k ( divide both sides by 16 )
1.5 = k
y = 1.5R² ← equation of proportion
When y = 1350 , then
1350 = 1.5R² ( divide both sides by 1.5 )
900 = R² ( take the square root of both sides )
= R , that is
R = 30
Given the function f(x);
Evaluating the function f(x+h);
So;
Evaluating the second function;
simplifying further;
Therefore, we have;
Answer:
show more picture pls!
Step-by-step explanation:
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.
17c because you have to pair the terms