Answer:
6,535.06 feet
Step-by-step explanation:
The set up is right angles
hypotenuse = 7000feet
angle of elevation = 21 degrees
Required
horizontal distance (adjacent)
Using SOH, CAH TOA trig identity
cos theta = adj/hyp
cos 21 = adj/7000
adj = 7000 cos 21
adj = 7000(0.9336)
adj = 6,535.06
Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet
slope (m ) = 
, y - 1 = ( x - 2)
The equation of a line in ' point- slope form 'is
y - b = m (x - a)( m is the slope and (a , b ) a point on the line )
To calculate m use the ' gradient formula'
m = (y₂ - y₁ )/(x₂ - x₁ )
let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table
m = (31 - 1 )/(14 - 2 ) =
=
equation in point- slope form using m = and (a,b )= (2 , 1)
y - 1 = ( x - 2)
Answer:
the final amount value is $4,274.58
Step-by-step explanation:
Given that
Present value = $3,500
Time period = 5 × 52 = 260
Rate of interest = 4% ÷ 52 = 0.0769%
We need to determine the final amount i.e. future value
So as we know that
Future value = Present value × (1 + rate of interest)^time period
= $3,500 × (1 + 0.0769%)^260
= $4,274.58
Hence, the final amount value is $4,274.58
21c cuz 5.25 divided by 25 = .21
