<h2>Addition</h2><h3>Concept</h3>
Add units together in order to reach a sum.
<h3>Utilization</h3>
In this problem, you are told to find the probability (or %) that someone owns either a dog, OR a cat. If they own both - then they do in fact own a dog or cat. So the formula is:
dog owners % + cat owners % + both owners %
Aka,
<h3>Answer</h3>
The answer is 46% of people own either a cat or a dog, because 23% + 18% + 5% is 46%.
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.
Answer:
cos(E)=0.8
Step-by-step explanation:
cos(E)=adjacent/hypotenuse
Using a common pythagorean triple, we can find that side GE is 30 (18^2+24^2=30^2)
Then we just get cos(E)=24/30, which is 0.8
