Answer:
My sister will swing the total distance = 40 feet
Step-by-step explanation:
On the first swing my sister travels a distance of 8 feet.
In every successive swing she travels 80% of the distance of the previous distance.
So the sequence formed by the distance traveled in every swing will be a geometric sequence.
First term of the sequence 'a' = 8 feet
common ratio 'r' = 0.80
Since this sequence is an infinite geometric sequence,
Sum of this sequence = 
[Since r < 1]
= 
= 
= 40 feet
Therefore, my sister will cover the total distance = 40 feet
To find the total amount, you will use the formula for finding compounded interest. This means you will be paid interest on top of the interest you have earned each year.
A = P(1 + r)^nt
P stands for the principal.
r is the interest rate when compounded annually
nt is the number of years
A = 17.50(1 + 0.04)^25
A = $46.65
This person would have $46.65 after 25 years.
What is the intersection of the three sets: A = {0, 2, 3, 6, 8}, B = {2, 3, 6, 8, 9}, and C = {1, 2, 4, 8, 9}? A. {2, 8, 9} B. {
Ugo [173]
Answer:
{2,8}
Step-by-step explanation:
This is the same thing as asking what element (in this case what number) is in all 3 sets.
0 isn't in all 3 sets because it isn't in B.
2 is in all 3 sets
3 isn't because it isn't in C
4 isn't in A.
6 isn't in C.
8 is in all 3 sets.
9 isn't in A
So the elements that are in the 3 sets are {2,8}.
