Using a geometric series, it is found that he swims 1897 yards in the first week.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
In which 
is the first term.
The sum of the first n terms is given by:
In this problem:
- 200 yards on the first day, thus
. - Each day, the distance increases by 10%, since 100% + 10% = 110% = 1.1,
. - First week is first 7 days, thus
Then:
He swims 1897 yards in the first week.
A similar problem is given at brainly.com/question/23711475
8 (3/5) = (43/5)
So the problem becomes what does
(43/5) * (43/5) equal?
= 1,849 / 25
=73 + (24/25)
Answer:
3/4, 6/8
Step-by-step explanation:
12/4 is 3. 16/4 is 4, repeat for the other one with the number 3
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
We <u>get $593</u><u>,</u><u>940</u>
Answer:
Solution Given:
1 second = $ 521
19 minutes=19*60=1140 seconds
1140 seconds =$521*1140 =<u>$593,940</u>
