What you must do is evaluate the function for the given conditions and thus be able to find the constants A and k
25 = Ae ^ k (2005)
31 = Ae ^ k2010
We then have two equations with two unknowns.
Solving.
25/31 = e ^ k (2005-2010)
Ln (25/31) = k (2005-2010)
k = Ln (25/31) / (2005-2010) = 0.043
Substituting k in any of the equations:
25 = Ae ^ (0.043 * (2005))
Clearing A
A = 25 / (e ^ (0.043 * (2005))) = 9.02E-37
Then, by 2020
P = (9.02E-37) e ^ (0.043 * (2020)) = 48 million
answer
the population for 2020 will be 48 million
If area of rhe circular region (Pi * r^2 =2550 yd^2),
then the radius is 28.49 yd
Answer:
A
Step-by-step explanation:
x is positive and y is negative
Answer:
if it's asking to simplify the expression: -13k + 15
Step-by-step explanation:
-7k + 3(-2k + 5)
-7k -6k + 15
-13k + 15
So the formula for an arithmetic sequence (where you're adding or subtracting by the same number each time) is = + d(n - 1)
In this equation:
is the nth term
is the first term
d is the common difference (the number you're adding or subtracting each time)
n is the number of the term (e.g. 1st term, 2nd term, 3rd term etc)
So we're given that = -27, and we can find that d = 15 (because we add 15 each term). We just plug these values into the equation to get...
= -27 + 15 (n - 1)
It looks like that's your answer, D. But if you needed to solve it out further, you could:
We can use the distributive property...
= -27 + 15n - 15
Then combine like terms...
= 15n - 42
Hope that helps! Feel free to message me if you need clarification