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.
78 gallons is the same as 312 quarts
Henry has 3 / 4 0f total cost so,
Let ( a ) is total cost of game
So,
3/4 × a = total cost
12 = 3/ 4 × a
4 will multiply with 12 so,
12 x 4 = 3 a
48 = 3a
48 / 3= a
16 = a will be price of game
Mark as brainliest
Answer: V, V, (-5, -5.5)
Step-by-step explanation:
