Answer:
a) Δx = -35ft
b) Δx = -25ft
c) Kyle traveled 10ft more than John
Step-by-step explanation:
We define a coordinate reference system() in which y = 0 corresponds to the water surface.
a) The initial position of Kyle in our coordinate reference system is:

and his final position is:

Therefore, he traveled
Δx = 
b) The initial position of John in our coordinate reference system is:

and his final position is:

Therefore, he traveled
Δx = 
c) Then, Kyle traveled 10ft more than John
Answer:
Step-by-step explanation:
use the distributive propriety to get 4c -12 = 8
divide both sides by 4 to get c-3 =2
Step-by-step explanation:
3 tan 2x - 4 tan 3x = tan² 3x * tan 2x
3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x
= tan 3x (1 + tan 3x * tan 2x)
3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x
3 * (- tan x) = tan 3x
-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)
3 - tan² x = - 3 + 9 tan² x
tan x = + √3 /√5 or - √3/√5
Given parameters:
Current population = 530,300 people
Growth rate = 0.8% per year
Unknown
Population in 15 more years = ?
To solve this problem, we must compound the increase per year.
This implies that we treat the problem like that of a compound interest.
Since we know that population increases by 0.8%,
it is similar to 1 +
= 1.008 increase
Now the population in 15years will be;
530300 x (1.008)¹⁵ = 597626 people
So, the population after 15yrs is 597626 people