Jenna solved the equation 2x^2 +5x - 42 = 0 . She stated that the solutions to the equation were 7/2 and -6. Do you agree with J
2 answers:
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Answer:
Step-by-step explanation:
Use the half life formula
where N is the amount after decay, No is the initial amount, e is Euler's number, k is the decay constant, and t is the time in minutes. For us, the first equation looks like this:
and we will solve that for k and then use that value of k in the second equation to find time.
Begin by dividing 7 by 12 to get
Now take the natural log of both sides since the natural log and that e are inverses. The e then disappears:
Plug the left side into your calculator and then set it equal to the right side, giving us:
Divide both sides by 70 to get the k value of
k = -.00769995
Now the second equation looks like this:
where t is our only unknown now that we know k.
Begin by dividing both sides by 12 to get
and take the natural log of both sides again to eliminate the e:
Take care of the left side on your calculator to get
-1.791759469 = -.00769995t and divide both sides by -.00769995 to get
t = 232.697 minutes
Answer:
a) Jean b) Jean c) Vincent d) Jean
Step-by-step explanation:
We are given the following information in the question.
Vincent can bake 10 cakes or make 5 pizzas
Jean can bake 12 cake or make 8 pizzas.
a) Absolute advantage of baking cake
Jean has the absolute advantage of baking cake as he can bake more cakes as compared to Vincent.
b) Absolute advantage of making pizza
Jean has the absolute advantage of making pizza as he can make more pizzas as compared to Vincent.
In order to find comparative advantage, we find the opportunity cost which can be defined as:
c) Comparative advantage in baking cakes
Opportunity cost of Vincent for baking cakes =
Opportunity cost of Jean for baking cakes =
The less is the opportunity cost the better, hence, Vincent has comparative advantage in baking cakes.
d) Comparative advantage in making pizzas
Opportunity cost of Vincent for making pizzas =
Opportunity cost of Jean for making pizzas =
The less is the opportunity cost the better, hence, Jean has comparative advantage in making pizzas.