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.
Set 7x-4 and 31 equal to each other
7X-4=31
Add four to both sides
7X=27
X=3
The answer is D
The Answer is C and I am 100% sure about it
Step-by-step explanation:
so, you don't know what a division is for ?
it is to ask things like "how often does one number fit into another number", or "how big will each piece be, if I split something into a certain number of equally sized pieces ?".
this is what we need here.
8 pizzas for $131.36. and each pizza costs the same. you see how that connects to what I just described above ?
to find how much each pizza cost, we need to divide the total price by 8, to find the size (= here the price) of each of the equally big parts of the total price.
131.36 / 8 = $16.42
