emily leaves her house at exactly 8:25 am to bike to her school, which is 3.42 miles away. when she passes the post office, whic
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We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem ,
and
.
Therefore, the ball will travel 100 meters and option B is the correct choice.
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.
Answer:
0.4kg, 1.4kg and 1.8kg
Step-by-step explanation:
Given parameters:
Mass of alloy = 3.6kg
Ratio of elements in the alloy = 2:7:9
Unknown:
Mass of each element in the alloy = ?
Solution:
To find the mass of each element in the alloy, first find the sum of the ratio;
2+7+9 = 18
Mass of nickel = x 3.6 = 0.4kg
Mass of zinc = x 3.6 = 1.4kg
Mass of copper = x 3.6 = 1.8kg
The mass of each metal is 0.4kg, 1.4kg and 1.8kg