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.
1490/4 =372.5................
Answer:
6 chairs
Step-by-step explanation:
The break even Point on gaming chairs can be expressed as :
Revenue = Cost
Revenue, R = 50x
Cost, C = 30x + 120
R = C
50x = 30x + 120
50 - 30x = 120
20x = 120
Divide both sides by 20
20x/ 20 = 120 / 20
x = 6
Hence, 6 chairs must be sold for the company to break even.
What is the slope of the line segment XY?
For this one the answer is -2 so the answer is A.
Which of the following statements best describes the amount of water in the pool?
The answer is A
Hope this helps!
12, 2, 5, 4, 7
The coefficients are the numbers that are in front of the letters
