A- $2,250
This is because you do 5000 × 0.045 × 10
Answer:
1.25 seconds
Step-by-step explanation:
.25
.25
.25
.25
+.25=1.25 seconds
Answer:
a) The recursion formula is .
b) .
Step-by-step explanation:
a) Let us explore the recurrence. A plane with only one line is divided in two regions, so . If we add another line under the restrictions of the problem, .
Notice that each line intersects the other n-1 lines, because there are no parallel lines. Assume we have n-1 lines and regions in the plane. If we add a new one we will have the previous plus n new regions. Because, for each line crossed by the new one there are a new region. Therefore,
.
b) The method here is to develop the recurrence and find some pattern. Hence, using the formula for , and we obtain
Notice that for each step back in the recurrence we add a new term in th sum. If we repeat the procedure n-1 times we will have
Using that :
Here the smart step is to split the first 2 in 1+1, in order to obtain the sum of the first n natural numbers, and the expression for this last sum it is well known. Therefore,
Answer: The median is 5.
Step-by-step explanation: If you add all the numbers up, you get 40. There are 8 numbers, so 40 divided by 8 is 5.