First, we see how many photos can be printed in a minute. We do know that it can print 28 photos in 8 minutes.
To find how many photos it can print in 1 minute, we divide 28 by 8.
28÷8=3.5
The printer can print 3.5 photos per minute.
To see how many minutes it will take to print 35 photos, we divide 35 by 3.5.
35÷3.5=10.
It will take 10 minutes to print 35 photos.
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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 lines on the triangles
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It would be K = -6j . I hope this helped you!
