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.
I don’t understand what you are asking for
Answer:
a= 9/4
Step-by-step explanation:
2m^(5/2)/m^(1/4)
2m^(5/2 -1/4)
2m^(9/4)
Hope you find this helpful <3
Step-by-step explanation:
mean score means the sum of all 6 scores divided by the number of games : 6.
sum6/6 = 15
sum6 = 15×6 = 90
(sum6 + x)/7 = 16
sum6 + x = 16×7 = 112
90 + x = 112
x = 22
they scored 22 points in the 7th game.
Well first 225/30 is 7.5 so you times 7.5 by any number till you get 150, which the answer is 20 minutes to burn 150 calories
work:
223/30 = 7.5
7.5 * 20 = 150