(A) 28 . Thanks for the question hope this helps
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
The supplementary angle is 0.628.
Hope that helps
B is the correct answer. hope this helped:)
L has "x -3"
S has "x"
x + x - 3 = 17
2x -3 (+3) = 17 (+3)
2x = 20
2x/2 = 20/2
x = 10
Leona has x - 3, or 10 - 3, or 7 dollars
Skye has 10 dollars
hope this helps
